{
  "$schema": "./opportunity-map.schema.json",
  "schemaVersion": "1.0.0",
  "metadata": {
    "id": "diffusion-models-opportunity-map",
    "title": "Diffusion Models Opportunity Map",
    "anchorAtlasNodeId": "diffusion",
    "asOf": "2026-08-19",
    "status": "alpha",
    "summary": "Source-driven alpha mapping 60 developments, capabilities, complements, applications, constraints, outcomes, competitors, and bounded hypotheses across diffusion models. Historical influence is separated from later mathematical equivalence; branch maturity is scoped; opportunity cards are falsifiable hypotheses rather than novelty or investment claims.",
    "timeDomain": {
      "startYear": 1908,
      "endYear": 2026,
      "focusStartYear": 2015
    },
    "visualBands": [
      {
        "id": "band-precursors",
        "label": "Precursors",
        "description": "Documented or contextual antecedents; chronology does not by itself imply causality.",
        "order": 0,
        "nodeTypes": [
          "precursor"
        ]
      },
      {
        "id": "band-core",
        "label": "Core development",
        "description": "The 2015 diffusion, 2019 score, 2020 DDPM, and 2021 score-SDE core.",
        "order": 1,
        "nodeTypes": [
          "core_development"
        ]
      },
      {
        "id": "band-capabilities",
        "label": "Capabilities, refinements and complements",
        "description": "What the core enables, how it was improved, and the independently useful complements that unlocked applications.",
        "order": 2,
        "nodeTypes": [
          "capability",
          "refinement",
          "complement"
        ]
      },
      {
        "id": "band-applications",
        "label": "Applications",
        "description": "Eight bounded application branches with scope-specific maturity assessments.",
        "order": 3,
        "nodeTypes": [
          "application"
        ]
      },
      {
        "id": "band-outcomes",
        "label": "Outcomes and alternatives",
        "description": "Locally stalled attempts and competing or substitute paradigms; no global dead-end claim is implied.",
        "order": 4,
        "nodeTypes": [
          "demonstrated_outcome",
          "failed_or_stalled_attempt",
          "competing_or_substitute_approach"
        ]
      },
      {
        "id": "band-constraints",
        "label": "Constraints",
        "description": "Active bottlenecks, partially mitigated limits, and evaluation gaps.",
        "order": 5,
        "nodeTypes": [
          "constraint"
        ]
      },
      {
        "id": "band-frontier",
        "label": "Open frontier",
        "description": "Falsifiable, evidence-linked research hypotheses. Inclusion does not establish novelty, patentability, feasibility, or expected value.",
        "order": 6,
        "nodeTypes": [
          "open_opportunity"
        ]
      }
    ],
    "importStatus": {
      "state": "imported_unreviewed",
      "notes": "Mapped from the supplied source-driven report and passed through structural validation. The report itself requires manual bibliography, primary-lineage, patent, clinical/science, licensing, and matched-replication review before publication-level promotion.",
      "reportId": "deep-research-report(1).md",
      "reportAsOf": "2026-08-19"
    },
    "pathWidthMode": "fixed"
  },
  "nodes": [
    {
      "id": "p01",
      "type": "precursor",
      "title": "Nonequilibrium transport and annealed importance sampling",
      "summary": "Slow Markov transport between distributions supplied the physics/SMC analogy explicitly used in the 2015 paper.",
      "year": 1997,
      "yearEnd": 2001,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "precursor",
        "core"
      ],
      "bandId": "band-precursors",
      "status": {
        "state": "mature_but_useful",
        "scope": "Nonequilibrium transport and annealed importance sampling is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s001",
          "s002",
          "s007"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Slow Markov transport between distributions supplied the physics/SMC analogy explicitly used in the 2015 paper.",
          "sourceIds": [
            "s001",
            "s002",
            "s007"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "mcmc",
          "relation": "related_to",
          "note": "Annealed importance sampling belongs to the atlas probabilistic-inference lineage."
        }
      ]
    },
    {
      "id": "p02",
      "type": "precursor",
      "title": "Diffusion, Langevin, Fokker-Planck and time reversal",
      "summary": "Stochastic diffusion and reverse-process mathematics supplied the vocabulary for forward noising and reverse dynamics.",
      "year": 1908,
      "yearEnd": 1949,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "precursor",
        "core"
      ],
      "bandId": "band-precursors",
      "status": {
        "state": "mature_but_useful",
        "scope": "Diffusion, Langevin, Fokker-Planck and time reversal is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s007"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Stochastic diffusion and reverse-process mathematics supplied the vocabulary for forward noising and reverse dynamics.",
          "sourceIds": [
            "s007"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "precursor_of",
          "note": "Stochastic diffusion and time-reversal mathematics precede the atlas diffusion anchor."
        }
      ]
    },
    {
      "id": "p03",
      "type": "precursor",
      "title": "Score matching",
      "summary": "Learns scores of unnormalized densities without evaluating a partition function.",
      "year": 2005,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "precursor",
        "core"
      ],
      "bandId": "band-precursors",
      "status": {
        "state": "mature_but_useful",
        "scope": "Score matching is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s003"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Learns scores of unnormalized densities without evaluating a partition function.",
          "sourceIds": [
            "s003"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "precursor_of",
          "note": "Score matching is a formal precursor to the score strand represented inside the diffusion anchor."
        }
      ]
    },
    {
      "id": "p04",
      "type": "precursor",
      "title": "Denoising-score / denoising-autoencoder equivalence",
      "summary": "Shows that denoising corrupted samples can recover a score; later directly invoked in the DDPM interpretation.",
      "year": 2011,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "precursor",
        "core"
      ],
      "bandId": "band-precursors",
      "status": {
        "state": "mature_but_useful",
        "scope": "Denoising-score / denoising-autoencoder equivalence is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s004",
          "s009"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Shows that denoising corrupted samples can recover a score; later directly invoked in the DDPM interpretation.",
          "sourceIds": [
            "s004",
            "s009"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "related_to",
          "note": "The report supports a later denoising-score equivalence, not a direct 2015 causal-origin claim."
        }
      ]
    },
    {
      "id": "p05",
      "type": "precursor",
      "title": "Variational latent-variable learning",
      "summary": "Supplies scalable variational bounds/reparameterized latent-variable learning; C01 says its bound is similar but its motivation/model differ.",
      "year": 2013,
      "yearEnd": 2014,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "precursor",
        "core"
      ],
      "bandId": "band-precursors",
      "status": {
        "state": "mature_but_useful",
        "scope": "Variational latent-variable learning is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "partial",
        "sourceIds": [
          "s005",
          "s007"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "partial",
          "claim": "Supplies scalable variational bounds/reparameterized latent-variable learning; C01 says its bound is similar but its motivation/model differ.",
          "sourceIds": [
            "s005",
            "s007"
          ],
          "note": "Evidence confidence assigned by the supplied report: partial."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "vae",
          "relation": "same_as",
          "note": "Bounded record for variational latent-variable learning."
        }
      ]
    },
    {
      "id": "p06",
      "type": "precursor",
      "title": "Energy-based and neural generative modeling context",
      "summary": "EBMs, neural generators, VAEs, flows, GANs and autoregressive models formed the competing generative landscape. The 2014–2019 visual placement operationalizes the report’s “pre-2020” label from its cited source window; it is not an origin date for the entire energy-based-model tradition.",
      "year": 2014,
      "yearEnd": 2019,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "precursor",
        "core"
      ],
      "bandId": "band-precursors",
      "status": {
        "state": "mature_but_useful",
        "scope": "Energy-based and neural generative modeling context is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "contextual",
        "sourceIds": [
          "s006",
          "s007",
          "s009"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "editorial_analysis",
          "grade": "contextual",
          "claim": "EBMs, neural generators, VAEs, flows, GANs and autoregressive models formed the competing generative landscape.",
          "sourceIds": [
            "s006",
            "s007",
            "s009"
          ],
          "note": "Evidence confidence assigned by the supplied report: contextual."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "gan",
          "relation": "related_to",
          "note": "GANs are part of the competing pre-DDPM generative context."
        },
        {
          "atlasNodeId": "flows",
          "relation": "related_to",
          "note": "Normalizing flows are part of the adjacent generative context."
        }
      ]
    },
    {
      "id": "c01",
      "type": "core_development",
      "title": "Diffusion probabilistic models",
      "summary": "Defines a learned finite-time reverse Markov diffusion from simple noise to data.",
      "year": 2015,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "core-development",
        "core"
      ],
      "bandId": "band-core",
      "status": {
        "state": "mature_but_useful",
        "scope": "Diffusion probabilistic models is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s007"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Defines a learned finite-time reverse Markov diffusion from simple noise to data.",
          "sourceIds": [
            "s007"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "precursor_of",
          "note": "The 2015 diffusion probabilistic model predates the atlas anchor convention centered on DDPM-era diffusion."
        }
      ]
    },
    {
      "id": "c02",
      "type": "core_development",
      "title": "Noise-conditioned score networks",
      "summary": "Learns scores over noise levels and samples with annealed Langevin dynamics.",
      "year": 2019,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "core-development",
        "core"
      ],
      "bandId": "band-core",
      "status": {
        "state": "mature_but_useful",
        "scope": "Noise-conditioned score networks is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s008"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Learns scores over noise levels and samples with annealed Langevin dynamics.",
          "sourceIds": [
            "s008"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "precursor_of",
          "note": "Noise-conditioned score networks form a direct precursor strand."
        }
      ]
    },
    {
      "id": "c03",
      "type": "core_development",
      "title": "Denoising diffusion probabilistic models",
      "summary": "Establishes practical high-quality image diffusion and the noise-prediction/denoising-score connection.",
      "year": 2020,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "core-development",
        "core"
      ],
      "bandId": "band-core",
      "status": {
        "state": "mature_but_useful",
        "scope": "Denoising diffusion probabilistic models is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s009"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Establishes practical high-quality image diffusion and the noise-prediction/denoising-score connection.",
          "sourceIds": [
            "s009"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "same_as",
          "note": "Primary cross-view anchor for diffusion models."
        }
      ]
    },
    {
      "id": "c04",
      "type": "core_development",
      "title": "Score-SDE and probability-flow formulation",
      "summary": "Unifies score and diffusion models in continuous time; adds reverse SDE, probability-flow ODE and inverse-problem tools.",
      "year": 2021,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "core-development",
        "core"
      ],
      "bandId": "band-core",
      "status": {
        "state": "mature_but_useful",
        "scope": "Score-SDE and probability-flow formulation is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s010"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Unifies score and diffusion models in continuous time; adds reverse SDE, probability-flow ODE and inverse-problem tools.",
          "sourceIds": [
            "s010"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "descendant_of",
          "note": "The score-SDE formulation is a later unification of diffusion and score models."
        }
      ]
    },
    {
      "id": "cap01",
      "type": "capability",
      "title": "Local denoising as scalable generative learning",
      "summary": "Replaces one difficult global density model with many local corruption-reversal prediction tasks.",
      "year": 2015,
      "yearEnd": 2020,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "capability",
        "core"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Local denoising as scalable generative learning is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s007",
          "s009"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Replaces one difficult global density model with many local corruption-reversal prediction tasks.",
          "sourceIds": [
            "s007",
            "s009"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "capability_of",
          "note": "Local denoising is a core capability of the atlas diffusion development."
        }
      ]
    },
    {
      "id": "cap02",
      "type": "capability",
      "title": "Multiscale score field and stochastic refinement",
      "summary": "Provides coarse-to-fine stochastic generation and score estimates across noise scales.",
      "year": 2019,
      "yearEnd": 2021,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "capability",
        "core"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Multiscale score field and stochastic refinement is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s008",
          "s010"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Provides coarse-to-fine stochastic generation and score estimates across noise scales.",
          "sourceIds": [
            "s008",
            "s010"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "capability_of",
          "note": "Multiscale score fields are a core capability in the diffusion/score family."
        }
      ]
    },
    {
      "id": "cap03",
      "type": "capability",
      "title": "Strong conditional guidance",
      "summary": "Modifies conditional/unconditional score estimates to trade diversity for adherence.",
      "year": 2021,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "multimodal",
      "tags": [
        "capability",
        "multimodal"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Strong conditional guidance is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s013",
          "s014"
        ],
        "note": "Report branch classification: multimodal."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Modifies conditional/unconditional score estimates to trade diversity for adherence.",
          "sourceIds": [
            "s013",
            "s014"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "capability_of",
          "note": "Conditional guidance is central to text-to-image diffusion."
        }
      ]
    },
    {
      "id": "cap04",
      "type": "capability",
      "title": "Reusable generative prior for posterior inference",
      "summary": "Combines a pretrained generative prior with measurements or likelihoods.",
      "year": 2015,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "inverse/science",
      "tags": [
        "capability",
        "inverse/science"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "actively_improving",
        "scope": "Reusable generative prior for posterior inference is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s007",
          "s010",
          "s031",
          "s032"
        ],
        "note": "Report branch classification: inverse/science."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Combines a pretrained generative prior with measurements or likelihoods.",
          "sourceIds": [
            "s007",
            "s010",
            "s031",
            "s032"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "capability_of",
          "note": "Generative-prior reuse is a capability of diffusion and score models."
        }
      ]
    },
    {
      "id": "cap05",
      "type": "capability",
      "title": "Scalable high-resolution multimodal conditional synthesis",
      "summary": "Latents, text encoders, cascades and large backbones make high-res semantic synthesis practical.",
      "year": 2021,
      "yearEnd": 2024,
      "yearPrecision": "range",
      "domain": "media",
      "tags": [
        "capability",
        "media"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "actively_improving",
        "scope": "Scalable high-resolution multimodal conditional synthesis is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s015",
          "s016",
          "s020",
          "s027"
        ],
        "note": "Report branch classification: media."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Latents, text encoders, cascades and large backbones make high-res semantic synthesis practical.",
          "sourceIds": [
            "s015",
            "s016",
            "s020",
            "s027"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "capability_of",
          "note": "Efficient high-resolution semantic synthesis underlies the text-to-image branch."
        }
      ]
    },
    {
      "id": "cap06",
      "type": "capability",
      "title": "Structured sequence, trajectory and geometry generation",
      "summary": "Extends denoising to trajectories, point clouds, molecules, protein frames and action chunks.",
      "year": 2021,
      "yearEnd": 2024,
      "yearPrecision": "range",
      "domain": "3D/science/robotics",
      "tags": [
        "capability",
        "3d/science/robotics"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Structured sequence, trajectory and geometry generation is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s046",
          "s052",
          "s058",
          "s060"
        ],
        "note": "Report branch classification: 3D/science/robotics."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Extends denoising to trajectories, point clouds, molecules, protein frames and action chunks.",
          "sourceIds": [
            "s046",
            "s052",
            "s058",
            "s060"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "capability_of",
          "note": "Structured-object denoising extends the core diffusion capability."
        }
      ]
    },
    {
      "id": "r01",
      "type": "refinement",
      "title": "Learned reverse variances and improved objectives",
      "summary": "Improves likelihood and permits substantial sampling-step reduction.",
      "year": 2021,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "refinement",
        "core"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Learned reverse variances and improved objectives is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s011"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Improves likelihood and permits substantial sampling-step reduction.",
          "sourceIds": [
            "s011"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "refinement_of",
          "note": "Improved objectives and learned variances refine DDPM-style diffusion."
        }
      ]
    },
    {
      "id": "r02",
      "type": "refinement",
      "title": "DDIM and solver-based acceleration",
      "summary": "Deterministic/non-Markovian paths and specialized solvers lower the required network evaluations.",
      "year": 2020,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "refinement",
        "core"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "DDIM and solver-based acceleration is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s012",
          "s022"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Deterministic/non-Markovian paths and specialized solvers lower the required network evaluations.",
          "sourceIds": [
            "s012",
            "s022"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "refinement_of",
          "note": "DDIM and solvers accelerate diffusion sampling."
        }
      ]
    },
    {
      "id": "r03",
      "type": "refinement",
      "title": "Classifier and classifier-free guidance",
      "summary": "Makes conditional fidelity tunable; CFG removes the auxiliary classifier.",
      "year": 2021,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "multimodal",
      "tags": [
        "refinement",
        "multimodal"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Classifier and classifier-free guidance is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s013",
          "s014"
        ],
        "note": "Report branch classification: multimodal."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Makes conditional fidelity tunable; CFG removes the auxiliary classifier.",
          "sourceIds": [
            "s013",
            "s014"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "refinement_of",
          "note": "Guidance refines conditional image generation."
        }
      ]
    },
    {
      "id": "r04",
      "type": "refinement",
      "title": "Cascaded diffusion",
      "summary": "Stacks base generation with spatial/temporal super-resolution.",
      "year": 2021,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "image/video",
      "tags": [
        "refinement",
        "image/video"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Cascaded diffusion is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s016",
          "s036"
        ],
        "note": "Report branch classification: image/video."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Stacks base generation with spatial/temporal super-resolution.",
          "sourceIds": [
            "s016",
            "s036"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "video",
          "relation": "refinement_of",
          "note": "Cascades refine spatial and temporal generation."
        }
      ]
    },
    {
      "id": "r05",
      "type": "refinement",
      "title": "Latent diffusion",
      "summary": "Runs denoising in a compressed perceptual latent instead of pixels.",
      "year": 2021,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "media",
      "tags": [
        "refinement",
        "media"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Latent diffusion is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s015"
        ],
        "note": "Report branch classification: media."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Runs denoising in a compressed perceptual latent instead of pixels.",
          "sourceIds": [
            "s015"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "refinement_of",
          "note": "Latent diffusion is a defining refinement of the atlas text-to-image branch."
        }
      ]
    },
    {
      "id": "r06",
      "type": "refinement",
      "title": "Diffusion Transformers",
      "summary": "Replaces convolutional U-Nets with patch/token Transformers and creates a clearer scaling path.",
      "year": 2022,
      "yearEnd": 2024,
      "yearPrecision": "range",
      "domain": "media",
      "tags": [
        "refinement",
        "media"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "actively_improving",
        "scope": "Diffusion Transformers is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s020",
          "s027"
        ],
        "note": "Report branch classification: media."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Replaces convolutional U-Nets with patch/token Transformers and creates a clearer scaling path.",
          "sourceIds": [
            "s020",
            "s027"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "dit",
          "relation": "same_as",
          "note": "Direct mapping to the Diffusion Transformers atlas node."
        }
      ]
    },
    {
      "id": "r07",
      "type": "refinement",
      "title": "Distillation and consistency generation",
      "summary": "Compresses many denoising evaluations into few or one-step generators.",
      "year": 2022,
      "yearEnd": 2024,
      "yearPrecision": "range",
      "domain": "core",
      "tags": [
        "refinement",
        "core"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "actively_improving",
        "scope": "Distillation and consistency generation is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s023",
          "s024"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Compresses many denoising evaluations into few or one-step generators.",
          "sourceIds": [
            "s023",
            "s024"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "refinement_of",
          "note": "Distillation and consistency methods reduce diffusion evaluations."
        }
      ]
    },
    {
      "id": "r08",
      "type": "refinement",
      "title": "Discrete, categorical and masked diffusion",
      "summary": "Generalizes corruption to discrete transitions; large masked diffusion LMs show modern scaling.",
      "year": 2021,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "discrete/language side-lineage",
      "tags": [
        "refinement",
        "discrete/language side-lineage"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Discrete, categorical and masked diffusion is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s028",
          "s029"
        ],
        "note": "Report branch classification: discrete/language side-lineage."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Generalizes corruption to discrete transitions; large masked diffusion LMs show modern scaling.",
          "sourceIds": [
            "s028",
            "s029"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusionllm",
          "relation": "same_as",
          "note": "Direct mapping to the diffusion-language-model side lineage."
        }
      ]
    },
    {
      "id": "m01",
      "type": "complement",
      "title": "U-Net and residual convolutional denoisers",
      "summary": "Supplies multiscale image inductive bias to DDPM-era systems.",
      "year": 2015,
      "yearEnd": 2021,
      "yearPrecision": "range",
      "domain": "image/inverse",
      "tags": [
        "complement",
        "image/inverse"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "U-Net and residual convolutional denoisers is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s009"
        ],
        "note": "Report branch classification: image/inverse."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Supplies multiscale image inductive bias to DDPM-era systems.",
          "sourceIds": [
            "s009"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "complement_to",
          "note": "U-Net-like denoisers are a complement rather than an origin node."
        }
      ]
    },
    {
      "id": "m02",
      "type": "complement",
      "title": "Large text encoders and paired multimodal data",
      "summary": "Makes open-vocabulary semantic conditioning strong.",
      "year": 2021,
      "yearEnd": 2023,
      "yearPrecision": "range",
      "domain": "image/video/audio",
      "tags": [
        "complement",
        "image/video/audio"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Large text encoders and paired multimodal data is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s016",
          "s017"
        ],
        "note": "Report branch classification: image/video/audio."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Makes open-vocabulary semantic conditioning strong.",
          "sourceIds": [
            "s016",
            "s017"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "complement_to",
          "note": "Language encoders and paired data complement text-to-image diffusion."
        }
      ]
    },
    {
      "id": "m03",
      "type": "complement",
      "title": "Perceptual autoencoder latents",
      "summary": "Compresses media into a cheaper space for denoising.",
      "year": 2021,
      "yearEnd": 2022,
      "yearPrecision": "range",
      "domain": "media",
      "tags": [
        "complement",
        "media"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "mature_but_useful",
        "scope": "Perceptual autoencoder latents is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s015",
          "s043"
        ],
        "note": "Report branch classification: media."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Compresses media into a cheaper space for denoising.",
          "sourceIds": [
            "s015",
            "s043"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "complement_to",
          "note": "Perceptual autoencoders enable latent diffusion."
        }
      ]
    },
    {
      "id": "m04",
      "type": "complement",
      "title": "Transformers and accelerator-scale compute",
      "summary": "Enables large token/patch denoisers, flow models and VLA action heads.",
      "year": 2017,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "media/robotics",
      "tags": [
        "complement",
        "media/robotics"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "actively_improving",
        "scope": "Transformers and accelerator-scale compute is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s020",
          "s027",
          "s062"
        ],
        "note": "Report branch classification: media/robotics."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Enables large token/patch denoisers, flow models and VLA action heads.",
          "sourceIds": [
            "s020",
            "s027",
            "s062"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "transformer",
          "relation": "related_to",
          "note": "Transformer backbones are one component of this broader compute complement."
        },
        {
          "atlasNodeId": "diffusion",
          "relation": "complement_to",
          "note": "Accelerator-scale Transformer compute complements diffusion objectives."
        }
      ]
    },
    {
      "id": "m05",
      "type": "complement",
      "title": "Geometry, equivariance and differentiable rendering",
      "summary": "Adapts generation to 3D, molecules, proteins and structured scenes.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "3D/science",
      "tags": [
        "complement",
        "3d/science"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "actively_improving",
        "scope": "Geometry, equivariance and differentiable rendering is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s047",
          "s051",
          "s052",
          "s055"
        ],
        "note": "Report branch classification: 3D/science."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Adapts generation to 3D, molecules, proteins and structured scenes.",
          "sourceIds": [
            "s047",
            "s051",
            "s052",
            "s055"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "neural3d",
          "relation": "related_to",
          "note": "Geometry and differentiable rendering connect the opportunity branch to neural 3D."
        }
      ]
    },
    {
      "id": "m06",
      "type": "complement",
      "title": "Simulators, demonstrations and domain validators",
      "summary": "Provides supervision and external validity signals for science, robotics and world models.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "science/robotics/world",
      "tags": [
        "complement",
        "science/robotics/world"
      ],
      "bandId": "band-capabilities",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Simulators, demonstrations and domain validators is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s060",
          "s061",
          "s064",
          "s065"
        ],
        "note": "Report branch classification: science/robotics/world."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Provides supervision and external validity signals for science, robotics and world models.",
          "sourceIds": [
            "s060",
            "s061",
            "s064",
            "s065"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "simenv",
          "relation": "related_to",
          "note": "Simulators are one of the domain-validation complements in this record."
        }
      ]
    },
    {
      "id": "a01",
      "type": "application",
      "title": "Image synthesis and editing",
      "summary": "Unconditional, text-conditioned, inpainting, structural control and image editing.",
      "year": 2020,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "image",
      "tags": [
        "application",
        "image"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "mature_but_useful",
        "scope": "Image synthesis and editing is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s009",
          "s015",
          "s016",
          "s017",
          "s018",
          "s019",
          "s027"
        ],
        "note": "Report branch classification: image."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Unconditional, text-conditioned, inpainting, structural control and image editing.",
          "sourceIds": [
            "s009",
            "s015",
            "s016",
            "s017",
            "s018",
            "s019",
            "s027"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "txt2img",
          "relation": "same_as",
          "note": "Direct mapping to text-to-image and editing."
        }
      ]
    },
    {
      "id": "a02",
      "type": "application",
      "title": "Image restoration and inverse problems",
      "summary": "Inpainting, deblurring, super-resolution, MRI/CT and general inverse reconstruction.",
      "year": 2015,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "inverse",
      "tags": [
        "application",
        "inverse"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "constraint_bound",
        "scope": "Image restoration and inverse problems is assessed as constraint-bound only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s007",
          "s030",
          "s031",
          "s032",
          "s033",
          "s069"
        ],
        "note": "Report branch classification: inverse."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Inpainting, deblurring, super-resolution, MRI/CT and general inverse reconstruction.",
          "sourceIds": [
            "s007",
            "s030",
            "s031",
            "s032",
            "s033",
            "s069"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "application_of",
          "note": "Inverse reconstruction reuses diffusion and score models as priors."
        }
      ]
    },
    {
      "id": "a03",
      "type": "application",
      "title": "Video generation",
      "summary": "Spatiotemporal denoising/transport for conditional video and visual prediction.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "video",
      "tags": [
        "application",
        "video"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Video generation is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s035",
          "s036",
          "s037",
          "s038",
          "s039"
        ],
        "note": "Report branch classification: video."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Spatiotemporal denoising/transport for conditional video and visual prediction.",
          "sourceIds": [
            "s035",
            "s036",
            "s037",
            "s038",
            "s039"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "video",
          "relation": "same_as",
          "note": "Direct mapping to the video-generation atlas node."
        }
      ]
    },
    {
      "id": "a04",
      "type": "application",
      "title": "Audio, speech and music",
      "summary": "Waveform diffusion, TTS, text-to-audio and music generation.",
      "year": 2020,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "audio",
      "tags": [
        "application",
        "audio"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "mature_but_useful",
        "scope": "Audio, speech and music is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s040",
          "s041",
          "s042",
          "s043",
          "s044",
          "s045"
        ],
        "note": "Report branch classification: audio."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Waveform diffusion, TTS, text-to-audio and music generation.",
          "sourceIds": [
            "s040",
            "s041",
            "s042",
            "s043",
            "s044",
            "s045"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "wavenet",
          "relation": "related_to",
          "note": "The atlas neural-audio node provides adjacent audio-generation context."
        }
      ]
    },
    {
      "id": "a05",
      "type": "application",
      "title": "3D, geometry and scene generation",
      "summary": "Point clouds, implicit objects, score-distilled text-to-3D and multiview generation.",
      "year": 2021,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "3D",
      "tags": [
        "application",
        "3d"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "actively_improving",
        "scope": "3D, geometry and scene generation is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s046",
          "s047",
          "s048",
          "s049",
          "s050",
          "s051"
        ],
        "note": "Report branch classification: 3D."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Point clouds, implicit objects, score-distilled text-to-3D and multiview generation.",
          "sourceIds": [
            "s046",
            "s047",
            "s048",
            "s049",
            "s050",
            "s051"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "neural3d",
          "relation": "related_to",
          "note": "The 3D diffusion branch overlaps the atlas neural-3D lineage."
        }
      ]
    },
    {
      "id": "a06",
      "type": "application",
      "title": "Molecules, proteins, materials and scientific design",
      "summary": "Molecular poses, protein backbones and crystalline/material structures.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "science",
      "tags": [
        "application",
        "science"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Molecules, proteins, materials and scientific design is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s052",
          "s053",
          "s054",
          "s055",
          "s056"
        ],
        "note": "Report branch classification: science."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Molecular poses, protein backbones and crystalline/material structures.",
          "sourceIds": [
            "s052",
            "s053",
            "s054",
            "s055",
            "s056"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "proteinlm",
          "relation": "related_to",
          "note": "RFdiffusion and protein design overlap the protein generative-design node."
        },
        {
          "atlasNodeId": "materials",
          "relation": "related_to",
          "note": "Crystal and material diffusion overlap the materials-discovery node."
        }
      ]
    },
    {
      "id": "a07",
      "type": "application",
      "title": "Robotics, policies, trajectories and planning",
      "summary": "Trajectory planning, offline RL and multimodal visuomotor action generation.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "robotics",
      "tags": [
        "application",
        "robotics"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "reopened_by_a_new_complement",
        "scope": "Robotics, policies, trajectories and planning is assessed as reopened by a new complement only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s058",
          "s059",
          "s060",
          "s061",
          "s062",
          "s063"
        ],
        "note": "Report branch classification: robotics."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Trajectory planning, offline RL and multimodal visuomotor action generation.",
          "sourceIds": [
            "s058",
            "s059",
            "s060",
            "s061",
            "s062",
            "s063"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "rtfm",
          "relation": "related_to",
          "note": "Diffusion and flow policies overlap the robot-foundation-model branch."
        },
        {
          "atlasNodeId": "offlinerl",
          "relation": "related_to",
          "note": "Trajectory diffusion also overlaps offline RL and sequence policies."
        }
      ]
    },
    {
      "id": "a08",
      "type": "application",
      "title": "Simulation, synthetic data and world modeling",
      "summary": "Synthetic training data and interactive learned visual simulators.",
      "year": 2023,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "world/synthetic",
      "tags": [
        "application",
        "world/synthetic"
      ],
      "bandId": "band-applications",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Simulation, synthetic data and world modeling is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s064",
          "s065",
          "s066",
          "s067"
        ],
        "note": "Report branch classification: world/synthetic."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Synthetic training data and interactive learned visual simulators.",
          "sourceIds": [
            "s064",
            "s065",
            "s066",
            "s067"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "worldmodels18",
          "relation": "related_to",
          "note": "Generative world models continue the learned-world lineage."
        },
        {
          "atlasNodeId": "genie",
          "relation": "related_to",
          "note": "Interactive learned simulators overlap the atlas interactive-world-model node."
        },
        {
          "atlasNodeId": "datacentric",
          "relation": "related_to",
          "note": "Synthetic-data use overlaps data-centric AI."
        }
      ]
    },
    {
      "id": "k01",
      "type": "constraint",
      "title": "Iterative sampling latency",
      "summary": "Repeated network evaluations impede real-time, video, edge and control use.",
      "year": 2020,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "cross-cutting",
      "tags": [
        "constraint",
        "cross-cutting"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "actively_improving",
        "scope": "Iterative sampling latency is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s009",
          "s012",
          "s022",
          "s023",
          "s024"
        ],
        "note": "Report branch classification: cross-cutting."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Repeated network evaluations impede real-time, video, edge and control use.",
          "sourceIds": [
            "s009",
            "s012",
            "s022",
            "s023",
            "s024"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "constraint_on",
          "note": "Iterative sampling latency constrains diffusion deployment."
        }
      ]
    },
    {
      "id": "k02",
      "type": "constraint",
      "title": "Training/inference compute, memory and energy",
      "summary": "High resolution and temporal context make training/inference expensive.",
      "year": 2021,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "media/world",
      "tags": [
        "constraint",
        "media/world"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "constraint_bound",
        "scope": "Training/inference compute, memory and energy is assessed as constraint-bound only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s015",
          "s020",
          "s027",
          "s038"
        ],
        "note": "Report branch classification: media/world."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "High resolution and temporal context make training/inference expensive.",
          "sourceIds": [
            "s015",
            "s020",
            "s027",
            "s038"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "video",
          "relation": "constraint_on",
          "note": "Compute and memory are especially binding for video/world scale."
        }
      ]
    },
    {
      "id": "k03",
      "type": "constraint",
      "title": "Data provenance, memorization and privacy",
      "summary": "Large diffusion models can reproduce examples from training sets.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "media/synthetic",
      "tags": [
        "constraint",
        "media/synthetic"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "constraint_bound",
        "scope": "Data provenance, memorization and privacy is assessed as constraint-bound only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s068"
        ],
        "note": "Report branch classification: media/synthetic."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Large diffusion models can reproduce examples from training sets.",
          "sourceIds": [
            "s068"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "constraint_on",
          "note": "Memorization and provenance constrain diffusion use."
        }
      ]
    },
    {
      "id": "k04",
      "type": "constraint",
      "title": "Controllability and identity/spatiotemporal consistency",
      "summary": "Prompt adherence improved faster than exact spatial relations and long-term identity persistence.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "image/video/3D",
      "tags": [
        "constraint",
        "image/video/3d"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "actively_improving",
        "scope": "Controllability and identity/spatiotemporal consistency is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s018",
          "s037",
          "s051"
        ],
        "note": "Report branch classification: image/video/3D."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Prompt adherence improved faster than exact spatial relations and long-term identity persistence.",
          "sourceIds": [
            "s018",
            "s037",
            "s051"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "video",
          "relation": "constraint_on",
          "note": "Identity and spatiotemporal consistency constrain video generation."
        }
      ]
    },
    {
      "id": "k05",
      "type": "constraint",
      "title": "Physical, causal and hard-constraint validity",
      "summary": "Plausible generations can violate measurements, geometry, chemistry, kinematics or physics.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "inverse/video/3D/science/robotics",
      "tags": [
        "constraint",
        "inverse/video/3d/science/robotics"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "constraint_bound",
        "scope": "Physical, causal and hard-constraint validity is assessed as constraint-bound only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s032",
          "s052",
          "s053",
          "s079"
        ],
        "note": "Report branch classification: inverse/video/3D/science/robotics."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Plausible generations can violate measurements, geometry, chemistry, kinematics or physics.",
          "sourceIds": [
            "s032",
            "s052",
            "s053",
            "s079"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "materials",
          "relation": "constraint_on",
          "note": "Physical and hard constraints limit scientific-design validity."
        }
      ]
    },
    {
      "id": "k06",
      "type": "constraint",
      "title": "Distribution shift, hallucination and calibration",
      "summary": "Strong priors can invent plausible detail when observational evidence is insufficient.",
      "year": 2021,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "inverse/robotics/world",
      "tags": [
        "constraint",
        "inverse/robotics/world"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "constraint_bound",
        "scope": "Distribution shift, hallucination and calibration is assessed as constraint-bound only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s033",
          "s069",
          "s075",
          "s076"
        ],
        "note": "Report branch classification: inverse/robotics/world."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Strong priors can invent plausible detail when observational evidence is insufficient.",
          "sourceIds": [
            "s033",
            "s069",
            "s075",
            "s076"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "medicine",
          "relation": "constraint_on",
          "note": "OOD hallucination and calibration constrain high-stakes medical use."
        }
      ]
    },
    {
      "id": "k07",
      "type": "constraint",
      "title": "Competition from GAN, autoregressive and flow paradigms",
      "summary": "Diffusion is one generative formulation among increasingly strong substitutes.",
      "year": 2020,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "cross-cutting",
      "tags": [
        "constraint",
        "cross-cutting"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "evidence_mixed",
        "scope": "Competition from GAN, autoregressive and flow paradigms is assessed as evidence mixed only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s006",
          "s025",
          "s026",
          "s027",
          "s062",
          "s063"
        ],
        "note": "Report branch classification: cross-cutting."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Diffusion is one generative formulation among increasingly strong substitutes.",
          "sourceIds": [
            "s006",
            "s025",
            "s026",
            "s027",
            "s062",
            "s063"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "flowmatching",
          "relation": "competitor_to",
          "note": "Flow matching is an active partial substitute in several contexts."
        }
      ]
    },
    {
      "id": "k08",
      "type": "constraint",
      "title": "Evaluation and likelihood-perception mismatch",
      "summary": "Likelihood, FID, preference and downstream utility measure different things.",
      "year": 2020,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "cross-cutting",
      "tags": [
        "constraint",
        "cross-cutting"
      ],
      "bandId": "band-constraints",
      "status": {
        "state": "constraint_bound",
        "scope": "Evaluation and likelihood-perception mismatch is assessed as constraint-bound only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "partial",
        "sourceIds": [
          "s009",
          "s010",
          "s020",
          "s069",
          "s079"
        ],
        "note": "Report branch classification: cross-cutting."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "partial",
          "claim": "Likelihood, FID, preference and downstream utility measure different things.",
          "sourceIds": [
            "s009",
            "s010",
            "s020",
            "s069",
            "s079"
          ],
          "note": "Evidence confidence assigned by the supplied report: partial."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "constraint_on",
          "note": "Metric mismatch constrains defensible diffusion comparisons."
        }
      ]
    },
    {
      "id": "f01",
      "type": "failed_or_stalled_attempt",
      "title": "Progressive diffusion compression",
      "summary": "DDPM's conceptual compression interpretation depended on impractical high-dimensional coding machinery.",
      "year": 2020,
      "yearPrecision": "year",
      "domain": "core",
      "tags": [
        "failed-or-stalled-attempt",
        "core"
      ],
      "bandId": "band-outcomes",
      "status": {
        "state": "locally_saturated",
        "scope": "Progressive diffusion compression is assessed as locally saturated only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s009"
        ],
        "note": "Report branch classification: core."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "DDPM's conceptual compression interpretation depended on impractical high-dimensional coding machinery.",
          "sourceIds": [
            "s009"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "outcome_of",
          "note": "This locally stalled compression interpretation arose from DDPM."
        }
      ]
    },
    {
      "id": "f02",
      "type": "failed_or_stalled_attempt",
      "title": "Single-view score-distillation text-to-3D",
      "summary": "Opened text-to-3D without 3D training sets but stalled on slow optimization and view consistency.",
      "year": 2022,
      "yearEnd": 2024,
      "yearPrecision": "range",
      "domain": "3D",
      "tags": [
        "failed-or-stalled-attempt",
        "3d"
      ],
      "bandId": "band-outcomes",
      "status": {
        "state": "reopened_by_a_new_complement",
        "scope": "Single-view score-distillation text-to-3D is assessed as reopened by a new complement only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "partial",
        "sourceIds": [
          "s047",
          "s048",
          "s051"
        ],
        "note": "Report branch classification: 3D."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "partial",
          "claim": "Opened text-to-3D without 3D training sets but stalled on slow optimization and view consistency.",
          "sourceIds": [
            "s047",
            "s048",
            "s051"
          ],
          "note": "Evidence confidence assigned by the supplied report: partial."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "neural3d",
          "relation": "related_to",
          "note": "Single-view score distillation is an early 2D-prior route into neural 3D."
        }
      ]
    },
    {
      "id": "f03",
      "type": "failed_or_stalled_attempt",
      "title": "Diffusion docking superiority claim",
      "summary": "Later fair-comparison work challenged the strength of the conventional docking baselines.",
      "year": 2022,
      "yearEnd": 2024,
      "yearPrecision": "range",
      "domain": "science/docking",
      "tags": [
        "failed-or-stalled-attempt",
        "science/docking"
      ],
      "bandId": "band-outcomes",
      "status": {
        "state": "evidence_mixed",
        "scope": "Diffusion docking superiority claim is assessed as evidence mixed only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s052",
          "s056"
        ],
        "note": "Report branch classification: science/docking."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Later fair-comparison work challenged the strength of the conventional docking baselines.",
          "sourceIds": [
            "s052",
            "s056"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "proteinlm",
          "relation": "related_to",
          "note": "The contested docking result belongs to the scientific generative-design neighborhood."
        }
      ]
    },
    {
      "id": "s01",
      "type": "competing_or_substitute_approach",
      "title": "Generative adversarial networks",
      "summary": "Dominant pre-diffusion high-fidelity image paradigm; still valuable where one-pass latency matters.",
      "year": 2014,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "cross-cutting",
      "tags": [
        "competing-or-substitute-approach",
        "cross-cutting"
      ],
      "bandId": "band-outcomes",
      "status": {
        "state": "mature_but_useful",
        "scope": "Generative adversarial networks is assessed as mature but useful only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s006",
          "s009",
          "s013"
        ],
        "note": "Report branch classification: cross-cutting."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Dominant pre-diffusion high-fidelity image paradigm; still valuable where one-pass latency matters.",
          "sourceIds": [
            "s006",
            "s009",
            "s013"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "gan",
          "relation": "same_as",
          "note": "Direct mapping to GANs as a competing paradigm."
        }
      ]
    },
    {
      "id": "s02",
      "type": "competing_or_substitute_approach",
      "title": "Autoregressive generation",
      "summary": "Competes in language, audio, visual tokens and robot actions.",
      "year": 2016,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "cross-cutting",
      "tags": [
        "competing-or-substitute-approach",
        "cross-cutting"
      ],
      "bandId": "band-outcomes",
      "status": {
        "state": "actively_improving",
        "scope": "Autoregressive generation is assessed as actively improving only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s009",
          "s028",
          "s063"
        ],
        "note": "Report branch classification: cross-cutting."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "Competes in language, audio, visual tokens and robot actions.",
          "sourceIds": [
            "s009",
            "s028",
            "s063"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "gpt2",
          "relation": "related_to",
          "note": "Autoregressive generation is represented by the atlas language-model lineage."
        }
      ]
    },
    {
      "id": "s03",
      "type": "competing_or_substitute_approach",
      "title": "Flow matching and rectified flow",
      "summary": "A mathematically adjacent continuous-transport paradigm and increasingly important partial substitute.",
      "year": 2022,
      "yearEnd": 2026,
      "yearPrecision": "range",
      "domain": "cross-cutting",
      "tags": [
        "competing-or-substitute-approach",
        "cross-cutting"
      ],
      "bandId": "band-outcomes",
      "status": {
        "state": "rapidly_expanding",
        "scope": "Flow matching and rectified flow is assessed as rapidly expanding only within this bounded diffusion-model opportunity map, not as a global verdict on the field.",
        "evidenceGrade": "direct",
        "sourceIds": [
          "s025",
          "s026",
          "s027",
          "s062"
        ],
        "note": "Report branch classification: cross-cutting."
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "direct",
          "claim": "A mathematically adjacent continuous-transport paradigm and increasingly important partial substitute.",
          "sourceIds": [
            "s025",
            "s026",
            "s027",
            "s062"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "flowmatching",
          "relation": "same_as",
          "note": "Direct mapping to flow matching and rectified flow."
        }
      ]
    },
    {
      "id": "opp01",
      "type": "open_opportunity",
      "title": "Measurement-consistent reconstruction with calibrated abstention",
      "summary": "Exact/near-exact data consistency plus uncertainty that detects prior-dominated reconstruction.",
      "yearPrecision": "undated",
      "domain": "inverse",
      "tags": [
        "open-opportunity",
        "inverse"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Exact/near-exact data consistency plus uncertainty that detects prior-dominated reconstruction.",
          "sourceIds": [
            "s032",
            "s069",
            "s075",
            "s076"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "diffusion",
          "relation": "opportunity_for",
          "note": "Hypothesis for reliable inverse reconstruction using diffusion/flow priors."
        }
      ]
    },
    {
      "id": "opp02",
      "type": "open_opportunity",
      "title": "Persistent object-centric 3D world state",
      "summary": "Separate persistent world state from generative video rendering to improve long rollouts.",
      "yearPrecision": "undated",
      "domain": "world/video",
      "tags": [
        "open-opportunity",
        "world/video"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Separate persistent world state from generative video rendering to improve long rollouts.",
          "sourceIds": [
            "s037",
            "s064",
            "s065",
            "s079",
            "pat02"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "genie",
          "relation": "opportunity_for",
          "note": "Hypothesis for persistent state in interactive world models."
        }
      ]
    },
    {
      "id": "opp03",
      "type": "open_opportunity",
      "title": "Path-consistent safety for multimodal robot policies",
      "summary": "Constrain trajectories without pushing a learned policy off its data manifold.",
      "yearPrecision": "undated",
      "domain": "robotics",
      "tags": [
        "open-opportunity",
        "robotics"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Constrain trajectories without pushing a learned policy off its data manifold.",
          "sourceIds": [
            "s070",
            "s071",
            "s078"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "aicontrol",
          "relation": "opportunity_for",
          "note": "Hypothesis for safety interventions in generative robot policies."
        }
      ]
    },
    {
      "id": "opp04",
      "type": "open_opportunity",
      "title": "Joint material and executable synthesis-protocol generation",
      "summary": "Generate structure and synthesis procedure, then learn from laboratory outcomes.",
      "yearPrecision": "undated",
      "domain": "science",
      "tags": [
        "open-opportunity",
        "science"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Generate structure and synthesis procedure, then learn from laboratory outcomes.",
          "sourceIds": [
            "s054",
            "s077"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "materials",
          "relation": "opportunity_for",
          "note": "Hypothesis for closed-loop structure and synthesis-protocol generation."
        }
      ]
    },
    {
      "id": "opp05",
      "type": "open_opportunity",
      "title": "Solver-certified manufacturable B-Rep generation",
      "summary": "Generate native CAD under explicit topology/tolerance/process constraints.",
      "yearPrecision": "undated",
      "domain": "3D/CAD",
      "tags": [
        "open-opportunity",
        "3d/cad"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Generate native CAD under explicit topology/tolerance/process constraints.",
          "sourceIds": [
            "s073",
            "s074",
            "pat01"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "neural3d",
          "relation": "opportunity_for",
          "note": "Hypothesis for solver-certified native CAD geometry."
        }
      ]
    },
    {
      "id": "opp06",
      "type": "open_opportunity",
      "title": "OOD-aware medical inverse reconstruction",
      "summary": "Detect domain/operator shifts and warn when generated detail is weakly measurement-supported.",
      "yearPrecision": "undated",
      "domain": "inverse/medical",
      "tags": [
        "open-opportunity",
        "inverse/medical"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Detect domain/operator shifts and warn when generated detail is weakly measurement-supported.",
          "sourceIds": [
            "s033",
            "s069",
            "s075",
            "s076"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "medicine",
          "relation": "opportunity_for",
          "note": "Hypothesis for prospective OOD alarms in medical reconstruction."
        }
      ]
    },
    {
      "id": "opp07",
      "type": "open_opportunity",
      "title": "Causal audiovisual event-state generation",
      "summary": "Shared event/physical state jointly controls video and synchronized sound.",
      "yearPrecision": "undated",
      "domain": "video/audio/world",
      "tags": [
        "open-opportunity",
        "video/audio/world"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Shared event/physical state jointly controls video and synchronized sound.",
          "sourceIds": [
            "s037",
            "s044"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "gap_causal",
          "relation": "related_to",
          "note": "Hypothesis uses explicit causal event state for audiovisual generation."
        }
      ]
    },
    {
      "id": "opp08",
      "type": "open_opportunity",
      "title": "Audited synthetic data",
      "summary": "Optimize downstream utility while screening memorization, coverage and real-domain gap.",
      "yearPrecision": "undated",
      "domain": "synthetic data",
      "tags": [
        "open-opportunity",
        "synthetic data"
      ],
      "bandId": "band-frontier",
      "status": {
        "state": "not_yet_assessed",
        "scope": "This is a falsifiable research hypothesis; inclusion is not a novelty, patentability, feasibility, or value claim.",
        "evidenceGrade": "unassessed",
        "sourceIds": [],
        "note": "Adjacent work is cited in the opportunity card, but the proposed residual opportunity remains unassessed."
      },
      "evidence": [
        {
          "type": "novelty_search",
          "grade": "hypothesis",
          "claim": "Optimize downstream utility while screening memorization, coverage and real-domain gap.",
          "sourceIds": [
            "s066",
            "s067",
            "s068"
          ],
          "note": "The sources establish adjacent work and unmet constraints; they do not establish novelty or expected success."
        }
      ],
      "atlasLinks": [
        {
          "atlasNodeId": "datacentric",
          "relation": "opportunity_for",
          "note": "Hypothesis for audited, utility-tested synthetic data."
        }
      ]
    }
  ],
  "relationships": [
    {
      "id": "r001",
      "type": "documented_historical_influence",
      "sourceNodeId": "p01",
      "targetNodeId": "c01",
      "summary": "C01 explicitly says its Markov transport idea is used in nonequilibrium physics/AIS.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "C01 explicitly says its Markov transport idea is used in nonequilibrium physics/AIS.",
        "sourceIds": [
          "s001",
          "s002",
          "s007"
        ],
        "note": "Direction: precursor → model. Conflicting evidence or qualification: none. Review note: Explicit citation."
      },
      "atlasLinks": []
    },
    {
      "id": "r002",
      "type": "documented_historical_influence",
      "sourceNodeId": "p02",
      "targetNodeId": "c01",
      "summary": "C01 explicitly invokes Langevin/Fokker–Planck and forward/backward diffusion results.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "C01 explicitly invokes Langevin/Fokker–Planck and forward/backward diffusion results.",
        "sourceIds": [
          "s007"
        ],
        "note": "Direction: stochastic process → model. Conflicting evidence or qualification: none. Review note: Explicit discussion."
      },
      "atlasLinks": []
    },
    {
      "id": "r003",
      "type": "adapts_formalism_from",
      "sourceNodeId": "p05",
      "targetNodeId": "c01",
      "summary": "C01's lower bound resembles contemporary variational objectives while motivation/model form differ.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "C01's lower bound resembles contemporary variational objectives while motivation/model form differ.",
        "sourceIds": [
          "s005",
          "s007"
        ],
        "note": "Direction: objective family → training. Conflicting evidence or qualification: C01 rejects variational Bayes as main motivation. Review note: Do not draw VAE as sole ancestor."
      },
      "atlasLinks": []
    },
    {
      "id": "r004",
      "type": "derives_from",
      "sourceNodeId": "p03",
      "targetNodeId": "c02",
      "summary": "NCSN estimates data scores using score-matching objectives.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "NCSN estimates data scores using score-matching objectives.",
        "sourceIds": [
          "s003",
          "s008"
        ],
        "note": "Direction: score matching → NCSN. Conflicting evidence or qualification: none. Review note: Direct method lineage."
      },
      "atlasLinks": []
    },
    {
      "id": "r005",
      "type": "later_mathematical_equivalence",
      "sourceNodeId": "p04",
      "targetNodeId": "c03",
      "summary": "DDPM epsilon prediction is a weighted denoising-score objective.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM epsilon prediction is a weighted denoising-score objective.",
        "sourceIds": [
          "s004",
          "s009"
        ],
        "note": "Direction: DSM → DDPM interpretation. Conflicting evidence or qualification: none. Review note: DDPM explicitly cites Vincent."
      },
      "atlasLinks": []
    },
    {
      "id": "r006",
      "type": "derives_from",
      "sourceNodeId": "p02",
      "targetNodeId": "c02",
      "summary": "NCSN samples with annealed Langevin dynamics.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "NCSN samples with annealed Langevin dynamics.",
        "sourceIds": [
          "s008"
        ],
        "note": "Direction: Langevin → sampler. Conflicting evidence or qualification: none. Review note: Explicit."
      },
      "atlasLinks": []
    },
    {
      "id": "r007",
      "type": "derives_from",
      "sourceNodeId": "c01",
      "targetNodeId": "c03",
      "summary": "DDPM explicitly builds on diffusion probabilistic models and reuses the variational formulation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM explicitly builds on diffusion probabilistic models and reuses the variational formulation.",
        "sourceIds": [
          "s007",
          "s009"
        ],
        "note": "Direction: 2015 DPM → DDPM. Conflicting evidence or qualification: none. Review note: Explicit citation."
      },
      "atlasLinks": []
    },
    {
      "id": "r008",
      "type": "adapts_formalism_from",
      "sourceNodeId": "c02",
      "targetNodeId": "c03",
      "summary": "DDPM connects its parameterization to multiscale denoising score matching and NCSN-like sampling.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM connects its parameterization to multiscale denoising score matching and NCSN-like sampling.",
        "sourceIds": [
          "s008",
          "s009"
        ],
        "note": "Direction: score model → interpretation. Conflicting evidence or qualification: DDPM derives sampler coefficients differently. Review note: Cross-fertilization, not simple inheritance."
      },
      "atlasLinks": []
    },
    {
      "id": "r009",
      "type": "adapts_formalism_from",
      "sourceNodeId": "p05",
      "targetNodeId": "c03",
      "summary": "DDPM trains the reverse chain as a variational latent-variable model.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM trains the reverse chain as a variational latent-variable model.",
        "sourceIds": [
          "s009"
        ],
        "note": "Direction: VI → training. Conflicting evidence or qualification: none. Review note: Formal influence."
      },
      "atlasLinks": []
    },
    {
      "id": "r010",
      "type": "derives_from",
      "sourceNodeId": "c02",
      "targetNodeId": "c04",
      "summary": "Score-SDE generalizes multiscale score generation to continuous time.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Score-SDE generalizes multiscale score generation to continuous time.",
        "sourceIds": [
          "s008",
          "s010"
        ],
        "note": "Direction: score models → SDE. Conflicting evidence or qualification: none. Review note: Explicit unification."
      },
      "atlasLinks": []
    },
    {
      "id": "r011",
      "type": "later_mathematical_equivalence",
      "sourceNodeId": "c03",
      "targetNodeId": "c04",
      "summary": "Variance-preserving diffusion fits inside the score-SDE family with reverse SDE/probability-flow descriptions.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Variance-preserving diffusion fits inside the score-SDE family with reverse SDE/probability-flow descriptions.",
        "sourceIds": [
          "s009",
          "s010"
        ],
        "note": "Direction: discrete diffusion → continuous reinterpretation. Conflicting evidence or qualification: none. Review note: Later mathematics."
      },
      "atlasLinks": []
    },
    {
      "id": "r012",
      "type": "enables",
      "sourceNodeId": "c01",
      "targetNodeId": "cap01",
      "summary": "Many small reverse transitions turn density learning into local prediction.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Many small reverse transitions turn density learning into local prediction.",
        "sourceIds": [
          "s007"
        ],
        "note": "Direction: model → capability. Conflicting evidence or qualification: none. Review note: Original mechanism."
      },
      "atlasLinks": []
    },
    {
      "id": "r013",
      "type": "improves",
      "sourceNodeId": "c03",
      "targetNodeId": "cap01",
      "summary": "Noise prediction simplifies learning and delivered high-quality images.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Noise prediction simplifies learning and delivered high-quality images.",
        "sourceIds": [
          "s009"
        ],
        "note": "Direction: DDPM → capability. Conflicting evidence or qualification: none. Review note: Practical unlock."
      },
      "atlasLinks": []
    },
    {
      "id": "r014",
      "type": "enables",
      "sourceNodeId": "c02",
      "targetNodeId": "cap02",
      "summary": "Scores over noise levels support coarse-to-fine generation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Scores over noise levels support coarse-to-fine generation.",
        "sourceIds": [
          "s008"
        ],
        "note": "Direction: model → capability. Conflicting evidence or qualification: none. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r015",
      "type": "improves",
      "sourceNodeId": "c04",
      "targetNodeId": "cap02",
      "summary": "Continuous time generalizes schedules and numerical samplers.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Continuous time generalizes schedules and numerical samplers.",
        "sourceIds": [
          "s010"
        ],
        "note": "Direction: SDE → capability. Conflicting evidence or qualification: none. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r016",
      "type": "enables",
      "sourceNodeId": "c01",
      "targetNodeId": "cap04",
      "summary": "C01 explicitly multiplies a learned distribution by another factor for posterior tasks.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "C01 explicitly multiplies a learned distribution by another factor for posterior tasks.",
        "sourceIds": [
          "s007"
        ],
        "note": "Direction: model → inverse-prior capability. Conflicting evidence or qualification: none. Review note: Early proof-of-concept."
      },
      "atlasLinks": []
    },
    {
      "id": "r017",
      "type": "improves",
      "sourceNodeId": "c04",
      "targetNodeId": "cap04",
      "summary": "SDE machinery generalizes inverse-problem sampling.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "SDE machinery generalizes inverse-problem sampling.",
        "sourceIds": [
          "s010"
        ],
        "note": "Direction: SDE → inverse capability. Conflicting evidence or qualification: none. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r018",
      "type": "enables",
      "sourceNodeId": "c03",
      "targetNodeId": "r01",
      "summary": "Improved DDPM changes the objective and learns reverse variances.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Improved DDPM changes the objective and learns reverse variances.",
        "sourceIds": [
          "s011"
        ],
        "note": "Direction: base model → refinement. Conflicting evidence or qualification: none. Review note: Extension."
      },
      "atlasLinks": []
    },
    {
      "id": "r019",
      "type": "mitigates_constraint",
      "sourceNodeId": "r01",
      "targetNodeId": "k01",
      "summary": "Learned variances reduce required passes substantially in reported experiments.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Learned variances reduce required passes substantially in reported experiments.",
        "sourceIds": [
          "s011"
        ],
        "note": "Direction: refinement → latency. Conflicting evidence or qualification: setting-dependent. Review note: Mitigation, not elimination."
      },
      "atlasLinks": []
    },
    {
      "id": "r020",
      "type": "enables",
      "sourceNodeId": "c03",
      "targetNodeId": "r02",
      "summary": "DDIM/DPM-Solver use pretrained diffusion/score models with alternative numerical paths.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDIM/DPM-Solver use pretrained diffusion/score models with alternative numerical paths.",
        "sourceIds": [
          "s012",
          "s022"
        ],
        "note": "Direction: model → sampler. Conflicting evidence or qualification: none. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r021",
      "type": "mitigates_constraint",
      "sourceNodeId": "r02",
      "targetNodeId": "k01",
      "summary": "Sampling falls from hundreds/thousands of evaluations toward tens.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Sampling falls from hundreds/thousands of evaluations toward tens.",
        "sourceIds": [
          "s012",
          "s022"
        ],
        "note": "Direction: solver → latency. Conflicting evidence or qualification: quality/model dependent. Review note: Strong local mitigation."
      },
      "atlasLinks": []
    },
    {
      "id": "r022",
      "type": "enables",
      "sourceNodeId": "c03",
      "targetNodeId": "r03",
      "summary": "Guidance modifies DDPM-like score predictions.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Guidance modifies DDPM-like score predictions.",
        "sourceIds": [
          "s013",
          "s014"
        ],
        "note": "Direction: base model → guidance. Conflicting evidence or qualification: none. Review note: Extension."
      },
      "atlasLinks": []
    },
    {
      "id": "r023",
      "type": "enables",
      "sourceNodeId": "r03",
      "targetNodeId": "cap03",
      "summary": "Guidance supplies tunable condition adherence; CFG removes a separate classifier.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Guidance supplies tunable condition adherence; CFG removes a separate classifier.",
        "sourceIds": [
          "s013",
          "s014"
        ],
        "note": "Direction: guidance → conditional capability. Conflicting evidence or qualification: diversity can fall. Review note: Core conditioning channel."
      },
      "atlasLinks": []
    },
    {
      "id": "r024",
      "type": "applied_to",
      "sourceNodeId": "r03",
      "targetNodeId": "a01",
      "summary": "Guidance improves class/text-conditioned image generation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Guidance improves class/text-conditioned image generation.",
        "sourceIds": [
          "s013",
          "s017"
        ],
        "note": "Direction: guidance → images. Conflicting evidence or qualification: protocols vary. Review note: Application edge."
      },
      "atlasLinks": []
    },
    {
      "id": "r025",
      "type": "applied_to",
      "sourceNodeId": "r04",
      "targetNodeId": "a01",
      "summary": "Cascades provide high-resolution image generation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Cascades provide high-resolution image generation.",
        "sourceIds": [
          "s016"
        ],
        "note": "Direction: cascade → image. Conflicting evidence or qualification: compute confound. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r026",
      "type": "applied_to",
      "sourceNodeId": "r04",
      "targetNodeId": "a03",
      "summary": "Spatial/temporal super-resolution cascades scale video.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Spatial/temporal super-resolution cascades scale video.",
        "sourceIds": [
          "s036"
        ],
        "note": "Direction: cascade → video. Conflicting evidence or qualification: system comparisons differ. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r027",
      "type": "enables",
      "sourceNodeId": "c03",
      "targetNodeId": "r05",
      "summary": "Latent diffusion retains denoising while changing representation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Latent diffusion retains denoising while changing representation.",
        "sourceIds": [
          "s015"
        ],
        "note": "Direction: DDPM family → LDM. Conflicting evidence or qualification: none. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r028",
      "type": "combines_with",
      "sourceNodeId": "m03",
      "targetNodeId": "r05",
      "summary": "LDM depends on a pretrained perceptual autoencoder.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "LDM depends on a pretrained perceptual autoencoder.",
        "sourceIds": [
          "s015"
        ],
        "note": "Direction: latent complement → LDM. Conflicting evidence or qualification: compression can lose details. Review note: Critical complement."
      },
      "atlasLinks": []
    },
    {
      "id": "r029",
      "type": "enables",
      "sourceNodeId": "r05",
      "targetNodeId": "cap05",
      "summary": "Latent denoising reduces spatial compute enough for high-res cross-attention synthesis.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Latent denoising reduces spatial compute enough for high-res cross-attention synthesis.",
        "sourceIds": [
          "s015"
        ],
        "note": "Direction: LDM → scalable synthesis. Conflicting evidence or qualification: compression-factor dependent. Review note: Material practical unlock."
      },
      "atlasLinks": []
    },
    {
      "id": "r030",
      "type": "combines_with",
      "sourceNodeId": "m01",
      "targetNodeId": "c03",
      "summary": "DDPM uses a U-Net-like multiscale denoiser.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM uses a U-Net-like multiscale denoiser.",
        "sourceIds": [
          "s009"
        ],
        "note": "Direction: architecture → model. Conflicting evidence or qualification: none. Review note: Complement, not origin."
      },
      "atlasLinks": []
    },
    {
      "id": "r031",
      "type": "combines_with",
      "sourceNodeId": "m02",
      "targetNodeId": "cap03",
      "summary": "Language encoders/paired data make semantic open-vocabulary conditions useful.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Language encoders/paired data make semantic open-vocabulary conditions useful.",
        "sourceIds": [
          "s016",
          "s017"
        ],
        "note": "Direction: encoder/data → conditioning. Conflicting evidence or qualification: data-scale confounding. Review note: Strong ablation support in Imagen."
      },
      "atlasLinks": []
    },
    {
      "id": "r032",
      "type": "combines_with",
      "sourceNodeId": "m04",
      "targetNodeId": "r06",
      "summary": "DiT/rectified-flow systems pair Transformers with accelerator scale.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DiT/rectified-flow systems pair Transformers with accelerator scale.",
        "sourceIds": [
          "s020",
          "s027"
        ],
        "note": "Direction: architecture/compute → refinement. Conflicting evidence or qualification: model/data differ. Review note: Scaling complement."
      },
      "atlasLinks": []
    },
    {
      "id": "r033",
      "type": "improves",
      "sourceNodeId": "r06",
      "targetNodeId": "cap05",
      "summary": "Transformer scaling improves image metrics and text handling.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Transformer scaling improves image metrics and text handling.",
        "sourceIds": [
          "s020",
          "s027"
        ],
        "note": "Direction: DiT → scalable synthesis. Conflicting evidence or qualification: not architecture-only comparisons. Review note: Active path."
      },
      "atlasLinks": []
    },
    {
      "id": "r034",
      "type": "mitigates_constraint",
      "sourceNodeId": "r07",
      "targetNodeId": "k01",
      "summary": "Distillation/consistency reduce inference to few/one model evaluations.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Distillation/consistency reduce inference to few/one model evaluations.",
        "sourceIds": [
          "s023",
          "s024"
        ],
        "note": "Direction: refinement → latency. Conflicting evidence or qualification: quality tradeoff. Review note: Reopens low-latency use."
      },
      "atlasLinks": []
    },
    {
      "id": "r035",
      "type": "derives_from",
      "sourceNodeId": "c03",
      "targetNodeId": "r08",
      "summary": "D3PM generalizes DDPM corruption/reversal to structured discrete states.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "D3PM generalizes DDPM corruption/reversal to structured discrete states.",
        "sourceIds": [
          "s009",
          "s028"
        ],
        "note": "Direction: continuous → discrete. Conflicting evidence or qualification: transitions differ materially. Review note: Direct extension."
      },
      "atlasLinks": []
    },
    {
      "id": "r036",
      "type": "competes_with",
      "sourceNodeId": "r08",
      "targetNodeId": "s02",
      "summary": "Masked/discrete diffusion generates tokens iteratively instead of left-to-right.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Masked/discrete diffusion generates tokens iteratively instead of left-to-right.",
        "sourceIds": [
          "s028",
          "s029"
        ],
        "note": "Direction: diffusion LM ↔ AR. Conflicting evidence or qualification: AR remains dominant in many workloads. Review note: Active competition."
      },
      "atlasLinks": []
    },
    {
      "id": "r037",
      "type": "blocked_by",
      "sourceNodeId": "r08",
      "targetNodeId": "k01",
      "summary": "Iterative token refinement introduces latency and lacks straightforward standard AR KV-caching behavior.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "Iterative token refinement introduces latency and lacks straightforward standard AR KV-caching behavior.",
        "sourceIds": [
          "s029"
        ],
        "note": "Direction: discrete diffusion → latency. Conflicting evidence or qualification: acceleration work is rapid. Review note: Reassess frequently."
      },
      "atlasLinks": []
    },
    {
      "id": "r038",
      "type": "competes_with",
      "sourceNodeId": "s03",
      "targetNodeId": "c03",
      "summary": "Flow matching/rectified flow learn continuous transport without requiring the classical stochastic reverse-diffusion objective.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Flow matching/rectified flow learn continuous transport without requiring the classical stochastic reverse-diffusion objective.",
        "sourceIds": [
          "s025",
          "s026",
          "s027"
        ],
        "note": "Direction: flow ↔ DDPM. Conflicting evidence or qualification: terminology overlaps. Review note: Partial substitute."
      },
      "atlasLinks": []
    },
    {
      "id": "r039",
      "type": "displaced_in_context_by",
      "sourceNodeId": "s03",
      "targetNodeId": "a01",
      "summary": "Some frontier text-to-image systems replace established diffusion objectives with rectified flow.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Some frontier text-to-image systems replace established diffusion objectives with rectified flow.",
        "sourceIds": [
          "s027"
        ],
        "note": "Direction: classical diffusion → RF in context. Conflicting evidence or qualification: diffusion remains widespread. Review note: Local displacement only."
      },
      "atlasLinks": []
    },
    {
      "id": "r040",
      "type": "applied_to",
      "sourceNodeId": "cap05",
      "targetNodeId": "a01",
      "summary": "Scalable conditional synthesis powers text-to-image and editing.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Scalable conditional synthesis powers text-to-image and editing.",
        "sourceIds": [
          "s015",
          "s016",
          "s017"
        ],
        "note": "Direction: capability → application. Conflicting evidence or qualification: none. Review note: Canonical branch."
      },
      "atlasLinks": []
    },
    {
      "id": "r041",
      "type": "applied_to",
      "sourceNodeId": "cap03",
      "targetNodeId": "a01",
      "summary": "Conditional guidance supports prompt and structural control.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Conditional guidance supports prompt and structural control.",
        "sourceIds": [
          "s014",
          "s018",
          "s019"
        ],
        "note": "Direction: capability → application. Conflicting evidence or qualification: imperfect composition. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r042",
      "type": "applied_to",
      "sourceNodeId": "cap04",
      "targetNodeId": "a02",
      "summary": "Diffusion/score priors combine with measurement operators for reconstruction.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Diffusion/score priors combine with measurement operators for reconstruction.",
        "sourceIds": [
          "s030",
          "s031",
          "s032",
          "s033"
        ],
        "note": "Direction: capability → inverse. Conflicting evidence or qualification: approximate posterior methods differ. Review note: Strong branch."
      },
      "atlasLinks": []
    },
    {
      "id": "r043",
      "type": "blocked_by",
      "sourceNodeId": "a02",
      "targetNodeId": "k05",
      "summary": "Approximate posterior guidance can fail exact measurement/domain constraints.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Approximate posterior guidance can fail exact measurement/domain constraints.",
        "sourceIds": [
          "s032",
          "s069"
        ],
        "note": "Direction: application → constraint. Conflicting evidence or qualification: some linear cases easier. Review note: Operator-dependent."
      },
      "atlasLinks": []
    },
    {
      "id": "r044",
      "type": "blocked_by",
      "sourceNodeId": "a02",
      "targetNodeId": "k06",
      "summary": "Weak/shifted evidence can yield plausible unsupported reconstruction.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Weak/shifted evidence can yield plausible unsupported reconstruction.",
        "sourceIds": [
          "s033",
          "s069",
          "s075"
        ],
        "note": "Direction: application → hallucination. Conflicting evidence or qualification: not diffusion-exclusive. Review note: Deployment bottleneck."
      },
      "atlasLinks": []
    },
    {
      "id": "r045",
      "type": "applied_to",
      "sourceNodeId": "cap05",
      "targetNodeId": "a03",
      "summary": "High-resolution latent conditional generation extends to space-time representations.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "High-resolution latent conditional generation extends to space-time representations.",
        "sourceIds": [
          "s035",
          "s036",
          "s037"
        ],
        "note": "Direction: capability → video. Conflicting evidence or qualification: temporal scaling cost. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r046",
      "type": "applied_to",
      "sourceNodeId": "r06",
      "targetNodeId": "a03",
      "summary": "Large video generators use transformerized space-time denoisers/velocity models.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Large video generators use transformerized space-time denoisers/velocity models.",
        "sourceIds": [
          "s037",
          "s038"
        ],
        "note": "Direction: transformer refinement → video. Conflicting evidence or qualification: some use flow objectives. Review note: Architecture survives objective shift."
      },
      "atlasLinks": []
    },
    {
      "id": "r047",
      "type": "blocked_by",
      "sourceNodeId": "a03",
      "targetNodeId": "k04",
      "summary": "Long videos remain limited by identity/object persistence.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Long videos remain limited by identity/object persistence.",
        "sourceIds": [
          "s037"
        ],
        "note": "Direction: video → consistency. Conflicting evidence or qualification: rapidly improving. Review note: No saturation inference."
      },
      "atlasLinks": []
    },
    {
      "id": "r048",
      "type": "blocked_by",
      "sourceNodeId": "a03",
      "targetNodeId": "k05",
      "summary": "Video can violate physical state transitions and causality.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Video can violate physical state transitions and causality.",
        "sourceIds": [
          "s037",
          "s079"
        ],
        "note": "Direction: video → physics. Conflicting evidence or qualification: benchmarks immature. Review note: Major frontier."
      },
      "atlasLinks": []
    },
    {
      "id": "r049",
      "type": "applied_to",
      "sourceNodeId": "cap01",
      "targetNodeId": "a04",
      "summary": "DiffWave/WaveGrad apply iterative denoising to waveform synthesis.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DiffWave/WaveGrad apply iterative denoising to waveform synthesis.",
        "sourceIds": [
          "s040",
          "s041"
        ],
        "note": "Direction: capability → audio. Conflicting evidence or qualification: none. Review note: Early branch."
      },
      "atlasLinks": []
    },
    {
      "id": "r050",
      "type": "applied_to",
      "sourceNodeId": "r05",
      "targetNodeId": "a04",
      "summary": "AudioLDM applies latent diffusion to audio representations.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "AudioLDM applies latent diffusion to audio representations.",
        "sourceIds": [
          "s043"
        ],
        "note": "Direction: latent diffusion → audio. Conflicting evidence or qualification: embedding quality matters. Review note: Practical scaling."
      },
      "atlasLinks": []
    },
    {
      "id": "r051",
      "type": "blocked_by",
      "sourceNodeId": "a04",
      "targetNodeId": "k01",
      "summary": "Repeated denoising can be slower than low-step/AR alternatives.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "Repeated denoising can be slower than low-step/AR alternatives.",
        "sourceIds": [
          "s040",
          "s041"
        ],
        "note": "Direction: audio → latency. Conflicting evidence or qualification: few-step variants exist. Review note: Mature, not dead."
      },
      "atlasLinks": []
    },
    {
      "id": "r052",
      "type": "applied_to",
      "sourceNodeId": "cap06",
      "targetNodeId": "a05",
      "summary": "Diffusion directly generates point clouds and other 3D representations.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Diffusion directly generates point clouds and other 3D representations.",
        "sourceIds": [
          "s046",
          "s049",
          "s050"
        ],
        "note": "Direction: structured generation → 3D. Conflicting evidence or qualification: representation choice matters. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r053",
      "type": "combines_with",
      "sourceNodeId": "m05",
      "targetNodeId": "a05",
      "summary": "Differentiable rendering and multiview priors adapt image models to 3D.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Differentiable rendering and multiview priors adapt image models to 3D.",
        "sourceIds": [
          "s047",
          "s051"
        ],
        "note": "Direction: geometry complement → 3D. Conflicting evidence or qualification: 2D prior does not guarantee 3D. Review note: Critical complement."
      },
      "atlasLinks": []
    },
    {
      "id": "r054",
      "type": "reopened_by",
      "sourceNodeId": "f02",
      "targetNodeId": "m05",
      "summary": "Multiview priors/direct 3D representations mitigate single-view score-distillation failure modes.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "Multiview priors/direct 3D representations mitigate single-view score-distillation failure modes.",
        "sourceIds": [
          "s050",
          "s051"
        ],
        "note": "Direction: stalled channel → complement. Conflicting evidence or qualification: validity still unresolved. Review note: Reopened."
      },
      "atlasLinks": []
    },
    {
      "id": "r055",
      "type": "blocked_by",
      "sourceNodeId": "a05",
      "targetNodeId": "k05",
      "summary": "Attractive renders do not imply topology/multiview/manufacturing validity.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Attractive renders do not imply topology/multiview/manufacturing validity.",
        "sourceIds": [
          "s051",
          "s073",
          "s074"
        ],
        "note": "Direction: 3D → hard constraints. Conflicting evidence or qualification: CAD differs from free-form 3D. Review note: Representation-specific."
      },
      "atlasLinks": []
    },
    {
      "id": "r056",
      "type": "applied_to",
      "sourceNodeId": "cap06",
      "targetNodeId": "a06",
      "summary": "Equivariant/manifold diffusion generates poses, proteins and crystals.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Equivariant/manifold diffusion generates poses, proteins and crystals.",
        "sourceIds": [
          "s052",
          "s053",
          "s055"
        ],
        "note": "Direction: structured generation → science. Conflicting evidence or qualification: domain tests required. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r057",
      "type": "combines_with",
      "sourceNodeId": "m05",
      "targetNodeId": "a06",
      "summary": "Equivariance and geometric coordinates enforce relevant symmetries.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Equivariance and geometric coordinates enforce relevant symmetries.",
        "sourceIds": [
          "s052",
          "s053",
          "s055"
        ],
        "note": "Direction: geometry → science. Conflicting evidence or qualification: implementations vary. Review note: Critical complement."
      },
      "atlasLinks": []
    },
    {
      "id": "r058",
      "type": "combines_with",
      "sourceNodeId": "m06",
      "targetNodeId": "a06",
      "summary": "Predictors, structure filters and experiments validate generated candidates.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Predictors, structure filters and experiments validate generated candidates.",
        "sourceIds": [
          "s053",
          "s054"
        ],
        "note": "Direction: validator → science. Conflicting evidence or qualification: validator quality can dominate. Review note: Generation alone insufficient."
      },
      "atlasLinks": []
    },
    {
      "id": "r059",
      "type": "blocked_by",
      "sourceNodeId": "a06",
      "targetNodeId": "f03",
      "summary": "DiffDock's headline ranking changes under stronger conventional-docking comparisons.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DiffDock's headline ranking changes under stronger conventional-docking comparisons.",
        "sourceIds": [
          "s052",
          "s056"
        ],
        "note": "Direction: docking branch → contested result. Conflicting evidence or qualification: protocols differ. Review note: Do not generalize to all science diffusion."
      },
      "atlasLinks": []
    },
    {
      "id": "r060",
      "type": "blocked_by",
      "sourceNodeId": "a06",
      "targetNodeId": "k05",
      "summary": "Geometric plausibility alone does not prove biochemical function, synthesizability or material stability.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Geometric plausibility alone does not prove biochemical function, synthesizability or material stability.",
        "sourceIds": [
          "s053",
          "s054",
          "s055"
        ],
        "note": "Direction: science → validity. Conflicting evidence or qualification: wet-lab protein results are counterevidence. Review note: Constraint partly relaxed."
      },
      "atlasLinks": []
    },
    {
      "id": "r061",
      "type": "applied_to",
      "sourceNodeId": "cap06",
      "targetNodeId": "a07",
      "summary": "Diffuser/Diffusion Policy generate trajectories or action chunks by denoising.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Diffuser/Diffusion Policy generate trajectories or action chunks by denoising.",
        "sourceIds": [
          "s058",
          "s060"
        ],
        "note": "Direction: capability → robotics. Conflicting evidence or qualification: closed-loop constraints harder. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r062",
      "type": "combines_with",
      "sourceNodeId": "m06",
      "targetNodeId": "a07",
      "summary": "Robot demonstrations, 3D observations and simulators are core supervision.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Robot demonstrations, 3D observations and simulators are core supervision.",
        "sourceIds": [
          "s059",
          "s060",
          "s061"
        ],
        "note": "Direction: complement → robotics. Conflicting evidence or qualification: coverage matters. Review note: Critical."
      },
      "atlasLinks": []
    },
    {
      "id": "r063",
      "type": "blocked_by",
      "sourceNodeId": "a07",
      "targetNodeId": "k01",
      "summary": "Multiple denoising steps per action chunk create control latency.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Multiple denoising steps per action chunk create control latency.",
        "sourceIds": [
          "s060",
          "s063"
        ],
        "note": "Direction: robotics → latency. Conflicting evidence or qualification: flow/fast samplers help. Review note: Important substitution pressure."
      },
      "atlasLinks": []
    },
    {
      "id": "r064",
      "type": "displaced_in_context_by",
      "sourceNodeId": "s03",
      "targetNodeId": "a07",
      "summary": "π0 uses flow matching instead of classical diffusion for continuous action generation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "π0 uses flow matching instead of classical diffusion for continuous action generation.",
        "sourceIds": [
          "s062"
        ],
        "note": "Direction: diffusion action head → flow in context. Conflicting evidence or qualification: Diffusion Policy remains active. Review note: Local displacement."
      },
      "atlasLinks": []
    },
    {
      "id": "r065",
      "type": "competes_with",
      "sourceNodeId": "s02",
      "targetNodeId": "a07",
      "summary": "FAST reports competitive AR action tokenization with faster training in its setup.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "FAST reports competitive AR action tokenization with faster training in its setup.",
        "sourceIds": [
          "s063"
        ],
        "note": "Direction: AR ↔ diffusion/VLA. Conflicting evidence or qualification: setups not universal. Review note: Concrete pressure."
      },
      "atlasLinks": []
    },
    {
      "id": "r066",
      "type": "applied_to",
      "sourceNodeId": "cap05",
      "targetNodeId": "a08",
      "summary": "Conditional generation supplies synthetic training images/video.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Conditional generation supplies synthetic training images/video.",
        "sourceIds": [
          "s064",
          "s066",
          "s067"
        ],
        "note": "Direction: capability → synthetic data. Conflicting evidence or qualification: real-domain gap. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r067",
      "type": "applied_to",
      "sourceNodeId": "cap06",
      "targetNodeId": "a08",
      "summary": "Action-conditioned sequence generation supplies visual dynamics/world simulation.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Action-conditioned sequence generation supplies visual dynamics/world simulation.",
        "sourceIds": [
          "s064",
          "s065"
        ],
        "note": "Direction: capability → world models. Conflicting evidence or qualification: generalization uncertain. Review note: Direct."
      },
      "atlasLinks": []
    },
    {
      "id": "r068",
      "type": "blocked_by",
      "sourceNodeId": "a08",
      "targetNodeId": "k05",
      "summary": "World models need physics/causal fidelity beyond attractive frames.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "World models need physics/causal fidelity beyond attractive frames.",
        "sourceIds": [
          "s079"
        ],
        "note": "Direction: world model → physics. Conflicting evidence or qualification: evaluation evolving. Review note: Core bottleneck."
      },
      "atlasLinks": []
    },
    {
      "id": "r069",
      "type": "blocked_by",
      "sourceNodeId": "a08",
      "targetNodeId": "k06",
      "summary": "Synthetic/world models may overfit source environments and fail under novel conditions.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "Synthetic/world models may overfit source environments and fail under novel conditions.",
        "sourceIds": [
          "s065",
          "s066"
        ],
        "note": "Direction: application → shift. Conflicting evidence or qualification: mixed real/synthetic may help. Review note: Evidence mixed."
      },
      "atlasLinks": []
    },
    {
      "id": "r070",
      "type": "blocked_by",
      "sourceNodeId": "a01",
      "targetNodeId": "k03",
      "summary": "Image diffusion models can memorize and emit training examples.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Image diffusion models can memorize and emit training examples.",
        "sourceIds": [
          "s068"
        ],
        "note": "Direction: image → privacy. Conflicting evidence or qualification: duplication/data choices matter. Review note: Direct extraction evidence."
      },
      "atlasLinks": []
    },
    {
      "id": "r071",
      "type": "blocked_by",
      "sourceNodeId": "a03",
      "targetNodeId": "k02",
      "summary": "Space-time token count and long horizons multiply compute.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Space-time token count and long horizons multiply compute.",
        "sourceIds": [
          "s036",
          "s038",
          "s039"
        ],
        "note": "Direction: video → compute. Conflicting evidence or qualification: latent/patch methods mitigate. Review note: Persistent."
      },
      "atlasLinks": []
    },
    {
      "id": "r072",
      "type": "blocked_by",
      "sourceNodeId": "a01",
      "targetNodeId": "k07",
      "summary": "Strong rectified-flow substitutes reduce returns to diffusion-only objective work.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Strong rectified-flow substitutes reduce returns to diffusion-only objective work.",
        "sourceIds": [
          "s027"
        ],
        "note": "Direction: image → competition. Conflicting evidence or qualification: diffusion still active. Review note: No global displacement."
      },
      "atlasLinks": []
    },
    {
      "id": "r073",
      "type": "blocked_by",
      "sourceNodeId": "a01",
      "targetNodeId": "k08",
      "summary": "FID, prompt alignment and human preference need not rank models identically.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "FID, prompt alignment and human preference need not rank models identically.",
        "sourceIds": [
          "s009",
          "s020",
          "s027"
        ],
        "note": "Direction: image → evaluation. Conflicting evidence or qualification: human evaluation has variance. Review note: Saturation claims fragile."
      },
      "atlasLinks": []
    },
    {
      "id": "r074",
      "type": "blocked_by",
      "sourceNodeId": "a06",
      "targetNodeId": "k08",
      "summary": "Scientific validity can reverse rankings implied by generative metrics.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "Scientific validity can reverse rankings implied by generative metrics.",
        "sourceIds": [
          "s053",
          "s056"
        ],
        "note": "Direction: science → evaluation. Conflicting evidence or qualification: experiments expensive. Review note: Domain evaluation mandatory."
      },
      "atlasLinks": []
    },
    {
      "id": "r075",
      "type": "applied_to",
      "sourceNodeId": "c03",
      "targetNodeId": "f01",
      "summary": "DDPM's progressive compression interpretation was acknowledged as impractical with the proposed coding machinery.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM's progressive compression interpretation was acknowledged as impractical with the proposed coding machinery.",
        "sourceIds": [
          "s009"
        ],
        "note": "Direction: DDPM → stalled branch. Conflicting evidence or qualification: later compression work possible. Review note: Explicit negative result."
      },
      "atlasLinks": []
    },
    {
      "id": "r076",
      "type": "competes_with",
      "sourceNodeId": "s01",
      "targetNodeId": "c03",
      "summary": "DDPM/classifier-guided diffusion were benchmarked against GANs.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM/classifier-guided diffusion were benchmarked against GANs.",
        "sourceIds": [
          "s009",
          "s013"
        ],
        "note": "Direction: GAN ↔ diffusion. Conflicting evidence or qualification: GAN latency advantage. Review note: Competition, not ancestry."
      },
      "atlasLinks": []
    },
    {
      "id": "r077",
      "type": "retrospective_analogy",
      "sourceNodeId": "s02",
      "targetNodeId": "c03",
      "summary": "DDPM shows a special masking diffusion can be interpreted as AR decoding.",
      "status": "demonstrated",
      "evidence": {
        "type": "primary_source",
        "grade": "direct",
        "claim": "DDPM shows a special masking diffusion can be interpreted as AR decoding.",
        "sourceIds": [
          "s009"
        ],
        "note": "Direction: AR ↔ diffusion analogy. Conflicting evidence or qualification: not historical influence. Review note: Explicitly retrospective."
      },
      "atlasLinks": []
    },
    {
      "id": "r078",
      "type": "adapts_formalism_from",
      "sourceNodeId": "c04",
      "targetNodeId": "s03",
      "summary": "Flow matching includes diffusion-like probability paths but changes the learned transport objective.",
      "status": "partially_supported",
      "evidence": {
        "type": "primary_source",
        "grade": "partial",
        "claim": "Flow matching includes diffusion-like probability paths but changes the learned transport objective.",
        "sourceIds": [
          "s025",
          "s026"
        ],
        "note": "Direction: SDE landscape → flow neighbor. Conflicting evidence or qualification: terminology varies. Review note: Formal adjacency."
      },
      "atlasLinks": []
    },
    {
      "id": "r079",
      "type": "candidate_application",
      "sourceNodeId": "k01",
      "targetNodeId": "opp03",
      "summary": "Low-latency control motivates safety mechanisms that avoid wholesale resampling.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Low-latency control motivates safety mechanisms that avoid wholesale resampling.",
        "sourceIds": [
          "s070",
          "s071"
        ],
        "note": "Direction: constraint → hypothesis. Conflicting evidence or qualification: direct adjacent work exists. Review note: Crowded."
      },
      "atlasLinks": []
    },
    {
      "id": "r080",
      "type": "candidate_application",
      "sourceNodeId": "a02",
      "targetNodeId": "opp01",
      "summary": "Inverse problems allow direct testing of consistency plus calibrated uncertainty.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Inverse problems allow direct testing of consistency plus calibrated uncertainty.",
        "sourceIds": [
          "s032",
          "s069",
          "s075"
        ],
        "note": "Direction: application → hypothesis. Conflicting evidence or qualification: many posterior samplers exist. Review note: Narrow novelty only."
      },
      "atlasLinks": []
    },
    {
      "id": "r081",
      "type": "candidate_application",
      "sourceNodeId": "k06",
      "targetNodeId": "opp01",
      "summary": "Hallucination motivates abstention when prior dominates evidence.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Hallucination motivates abstention when prior dominates evidence.",
        "sourceIds": [
          "s075",
          "s076"
        ],
        "note": "Direction: constraint → hypothesis. Conflicting evidence or qualification: some hallucination is information-theoretic. Review note: Falsifiable."
      },
      "atlasLinks": []
    },
    {
      "id": "r082",
      "type": "candidate_application",
      "sourceNodeId": "a08",
      "targetNodeId": "opp02",
      "summary": "Long-horizon world models need persistent state beyond frame realism.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Long-horizon world models need persistent state beyond frame realism.",
        "sourceIds": [
          "s064",
          "s065",
          "s079"
        ],
        "note": "Direction: application → hypothesis. Conflicting evidence or qualification: object-centric models adjacent. Review note: Combination novelty unproven."
      },
      "atlasLinks": []
    },
    {
      "id": "r083",
      "type": "combines_with",
      "sourceNodeId": "m05",
      "targetNodeId": "opp02",
      "summary": "Explicit 3D scene/object state is the proposed persistence complement.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Explicit 3D scene/object state is the proposed persistence complement.",
        "sourceIds": [
          "s051"
        ],
        "note": "Direction: complement → hypothesis. Conflicting evidence or qualification: interface difficult. Review note: Candidate confluence."
      },
      "atlasLinks": []
    },
    {
      "id": "r084",
      "type": "candidate_application",
      "sourceNodeId": "a07",
      "targetNodeId": "opp03",
      "summary": "Robot generative policies could use path-consistent safety interventions.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Robot generative policies could use path-consistent safety interventions.",
        "sourceIds": [
          "s070",
          "s071",
          "s078"
        ],
        "note": "Direction: robotics → hypothesis. Conflicting evidence or qualification: direct 2026 work. Review note: Only narrow residual opportunity."
      },
      "atlasLinks": []
    },
    {
      "id": "r085",
      "type": "candidate_application",
      "sourceNodeId": "a06",
      "targetNodeId": "opp04",
      "summary": "Materials generation can extend from structures to executable synthesis programs.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Materials generation can extend from structures to executable synthesis programs.",
        "sourceIds": [
          "s054",
          "s077"
        ],
        "note": "Direction: science → hypothesis. Conflicting evidence or qualification: autonomous labs already exist. Review note: Novel combination unproven."
      },
      "atlasLinks": []
    },
    {
      "id": "r086",
      "type": "combines_with",
      "sourceNodeId": "m06",
      "targetNodeId": "opp04",
      "summary": "Laboratory robotics/measurement is needed for closed-loop updates.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Laboratory robotics/measurement is needed for closed-loop updates.",
        "sourceIds": [
          "s077"
        ],
        "note": "Direction: complement → hypothesis. Conflicting evidence or qualification: equipment heterogeneity. Review note: Necessary complement."
      },
      "atlasLinks": []
    },
    {
      "id": "r087",
      "type": "candidate_application",
      "sourceNodeId": "a05",
      "targetNodeId": "opp05",
      "summary": "3D generation can target native CAD/B-Rep validated by kernels.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "3D generation can target native CAD/B-Rep validated by kernels.",
        "sourceIds": [
          "s073",
          "s074",
          "pat01"
        ],
        "note": "Direction: 3D → hypothesis. Conflicting evidence or qualification: strong direct prior art. Review note: Narrow certification opportunity."
      },
      "atlasLinks": []
    },
    {
      "id": "r088",
      "type": "candidate_application",
      "sourceNodeId": "k05",
      "targetNodeId": "opp05",
      "summary": "Hard topology/tolerance constraints motivate solver-in-loop generation.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Hard topology/tolerance constraints motivate solver-in-loop generation.",
        "sourceIds": [
          "s074",
          "pat01"
        ],
        "note": "Direction: constraint → hypothesis. Conflicting evidence or qualification: classical generative design already constrained. Review note: Novelty implementation-specific."
      },
      "atlasLinks": []
    },
    {
      "id": "r089",
      "type": "candidate_application",
      "sourceNodeId": "a02",
      "targetNodeId": "opp06",
      "summary": "Medical reconstruction is a high-value test case for prospective OOD alarms.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Medical reconstruction is a high-value test case for prospective OOD alarms.",
        "sourceIds": [
          "s033",
          "s069",
          "s076"
        ],
        "note": "Direction: inverse → hypothesis. Conflicting evidence or qualification: active literature. Review note: Prospective validation differentiates."
      },
      "atlasLinks": []
    },
    {
      "id": "r090",
      "type": "candidate_application",
      "sourceNodeId": "a03",
      "targetNodeId": "opp07",
      "summary": "Shared event state may improve audiovisual synchronization and causal timing.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Shared event state may improve audiovisual synchronization and causal timing.",
        "sourceIds": [
          "s037",
          "s044"
        ],
        "note": "Direction: video → hypothesis. Conflicting evidence or qualification: multimodal systems already exist. Review note: Benchmark needed."
      },
      "atlasLinks": []
    },
    {
      "id": "r091",
      "type": "combines_with",
      "sourceNodeId": "a04",
      "targetNodeId": "opp07",
      "summary": "Audio generative models can consume the same event-state representation as video.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Audio generative models can consume the same event-state representation as video.",
        "sourceIds": [
          "s044"
        ],
        "note": "Direction: audio → hypothesis. Conflicting evidence or qualification: decoder need not be diffusion. Review note: Mechanism-neutral complement."
      },
      "atlasLinks": []
    },
    {
      "id": "r092",
      "type": "candidate_application",
      "sourceNodeId": "a08",
      "targetNodeId": "opp08",
      "summary": "Synthetic data is valuable only when real-domain utility and privacy are jointly controlled.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Synthetic data is valuable only when real-domain utility and privacy are jointly controlled.",
        "sourceIds": [
          "s066",
          "s067",
          "s068"
        ],
        "note": "Direction: application → hypothesis. Conflicting evidence or qualification: crowded area. Review note: Multi-objective test."
      },
      "atlasLinks": []
    },
    {
      "id": "r093",
      "type": "candidate_application",
      "sourceNodeId": "k03",
      "targetNodeId": "opp08",
      "summary": "Memorization motivates sample-level membership/influence auditing.",
      "status": "hypothesis",
      "evidence": {
        "type": "novelty_search",
        "grade": "hypothesis",
        "claim": "Memorization motivates sample-level membership/influence auditing.",
        "sourceIds": [
          "s068"
        ],
        "note": "Direction: constraint → hypothesis. Conflicting evidence or qualification: audits can miss leakage. Review note: High-value but hard."
      },
      "atlasLinks": []
    },
    {
      "id": "r094",
      "type": "competes_with",
      "sourceNodeId": "p06",
      "targetNodeId": "c03",
      "summary": "Energy-based models, neural generators, VAEs, flows, GANs, and autoregressive models formed the competing generative landscape around DDPM.",
      "status": "partially_supported",
      "evidence": {
        "type": "editorial_analysis",
        "grade": "contextual",
        "claim": "The broader pre-DDPM generative-model landscape is contextual and competitive rather than a single causal parent of diffusion.",
        "sourceIds": [
          "s006",
          "s007",
          "s009"
        ],
        "note": "Editorial connectivity edge derived from the report’s P06 node description; it is not one of the report’s 93 proposed relationship-table rows and does not assert direct historical influence."
      },
      "atlasLinks": []
    }
  ],
  "sources": [
    {
      "id": "s001",
      "type": "paper",
      "title": "Nonequilibrium Equality for Free Energy Differences",
      "authors": [
        "Christopher Jarzynski"
      ],
      "year": 1997,
      "url": "https://doi.org/10.1103/PhysRevLett.78.2690",
      "doi": "10.1103/PhysRevLett.78.2690"
    },
    {
      "id": "s002",
      "type": "paper",
      "title": "Annealed Importance Sampling",
      "authors": [
        "Radford M. Neal"
      ],
      "year": 2001,
      "url": "https://doi.org/10.1023/A:1008923215028",
      "doi": "10.1023/A:1008923215028"
    },
    {
      "id": "s003",
      "type": "paper",
      "title": "Estimation of Non-Normalized Statistical Models by Score Matching",
      "authors": [
        "Aapo Hyvarinen"
      ],
      "year": 2005,
      "url": "https://jmlr.org/papers/v6/hyvarinen05a.html"
    },
    {
      "id": "s004",
      "type": "paper",
      "title": "A Connection Between Score Matching and Denoising Autoencoders",
      "authors": [
        "Pascal Vincent"
      ],
      "year": 2011,
      "url": "https://doi.org/10.1162/NECO_a_00142",
      "doi": "10.1162/NECO_a_00142"
    },
    {
      "id": "s005",
      "type": "paper",
      "title": "Auto-Encoding Variational Bayes",
      "authors": [
        "Diederik P. Kingma",
        "Max Welling"
      ],
      "year": 2013,
      "url": "https://arxiv.org/abs/1312.6114",
      "doi": "10.48550/arXiv.1312.6114",
      "arxivId": "1312.6114"
    },
    {
      "id": "s006",
      "type": "paper",
      "title": "Generative Adversarial Nets",
      "authors": [
        "Ian Goodfellow et al."
      ],
      "year": 2014,
      "url": "https://arxiv.org/abs/1406.2661",
      "doi": "10.48550/arXiv.1406.2661",
      "arxivId": "1406.2661"
    },
    {
      "id": "s007",
      "type": "paper",
      "title": "Deep Unsupervised Learning using Nonequilibrium Thermodynamics",
      "authors": [
        "Jascha Sohl-Dickstein",
        "Eric A. Weiss",
        "Niru Maheswaranathan",
        "Surya Ganguli"
      ],
      "year": 2015,
      "url": "https://arxiv.org/abs/1503.03585",
      "doi": "10.48550/arXiv.1503.03585",
      "arxivId": "1503.03585"
    },
    {
      "id": "s008",
      "type": "paper",
      "title": "Generative Modeling by Estimating Gradients of the Data Distribution",
      "authors": [
        "Yang Song",
        "Stefano Ermon"
      ],
      "year": 2019,
      "url": "https://arxiv.org/abs/1907.05600",
      "doi": "10.48550/arXiv.1907.05600",
      "arxivId": "1907.05600"
    },
    {
      "id": "s009",
      "type": "paper",
      "title": "Denoising Diffusion Probabilistic Models",
      "authors": [
        "Jonathan Ho",
        "Ajay Jain",
        "Pieter Abbeel"
      ],
      "year": 2020,
      "url": "https://arxiv.org/abs/2006.11239",
      "doi": "10.48550/arXiv.2006.11239",
      "arxivId": "2006.11239"
    },
    {
      "id": "s010",
      "type": "paper",
      "title": "Score-Based Generative Modeling through Stochastic Differential Equations",
      "authors": [
        "Yang Song",
        "Jascha Sohl-Dickstein",
        "Diederik P. Kingma",
        "Abhishek Kumar",
        "Stefano Ermon",
        "Ben Poole"
      ],
      "year": 2021,
      "url": "https://arxiv.org/abs/2011.13456",
      "doi": "10.48550/arXiv.2011.13456",
      "arxivId": "2011.13456"
    },
    {
      "id": "s011",
      "type": "paper",
      "title": "Improved Denoising Diffusion Probabilistic Models",
      "authors": [
        "Alex Nichol",
        "Prafulla Dhariwal"
      ],
      "year": 2021,
      "url": "https://arxiv.org/abs/2102.09672",
      "doi": "10.48550/arXiv.2102.09672",
      "arxivId": "2102.09672"
    },
    {
      "id": "s012",
      "type": "paper",
      "title": "Denoising Diffusion Implicit Models",
      "authors": [
        "Jiaming Song",
        "Chenlin Meng",
        "Stefano Ermon"
      ],
      "year": 2020,
      "url": "https://arxiv.org/abs/2010.02502",
      "doi": "10.48550/arXiv.2010.02502",
      "arxivId": "2010.02502"
    },
    {
      "id": "s013",
      "type": "paper",
      "title": "Diffusion Models Beat GANs on Image Synthesis",
      "authors": [
        "Prafulla Dhariwal",
        "Alex Nichol"
      ],
      "year": 2021,
      "url": "https://arxiv.org/abs/2105.05233",
      "doi": "10.48550/arXiv.2105.05233",
      "arxivId": "2105.05233"
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            "s027",
            "s062",
            "s063"
          ],
          "note": "Evidence confidence assigned by the supplied report: direct."
        }
      ]
    },
    {
      "id": "constraint-k08",
      "title": "Evaluation and likelihood-perception mismatch",
      "summary": "Likelihood, FID, preference and downstream utility measure different things. Remaining test: Independent, task-grounded evaluations whose metrics match deployment value.",
      "category": "evaluation",
      "nodeId": "k08",
      "affectsNodeIds": [
        "a01",
        "a02",
        "a03",
        "a06",
        "a08",
        "opp08"
      ],
      "mitigatedByNodeIds": [
        "m06"
      ],
      "relationshipIds": [
        "r073",
        "r074"
      ],
      "status": {
        "state": "active",
        "scope": "Constraint assessment is limited to the applications and comparisons documented in the supplied report. Independent, task-grounded evaluations whose metrics match deployment value.",
        "evidenceGrade": "partial",
        "sourceIds": [
          "s009",
          "s010",
          "s020",
          "s069",
          "s079"
        ]
      },
      "evidence": [
        {
          "type": "primary_source",
          "grade": "partial",
          "claim": "Likelihood, FID, preference and downstream utility measure different things.",
          "sourceIds": [
            "s009",
            "s010",
            "s020",
            "s069",
            "s079"
          ],
          "note": "Evidence confidence assigned by the supplied report: partial."
        }
      ]
    }
  ],
  "openOpportunities": [
    {
      "id": "card-opp01",
      "nodeId": "opp01",
      "title": "Measurement-consistent generative reconstruction with calibrated abstention",
      "summary": "A high-value but crowded hypothesis: jointly test near-exact data consistency and calibrated abstention under prospective operator or domain shift.",
      "falsifiableQuestion": "Can a diffusion or flow posterior sampler achieve near-exact measurement consistency while producing uncertainty estimates that reliably identify pixels, voxels, or features dominated by the learned prior rather than the measurement?",
      "proposedMechanism": "Use CAP04 as a generative prior, combine it with an explicit measurement operator and likelihood, and estimate epistemic or aleatoric fragility from ensembles or posterior trajectories.",
      "unmetNeed": "Reliable MRI, CT, astronomy, microscopy, seismic, and other ill-posed reconstruction without presenting prior-dominated detail as measured fact.",
      "adjacentWorkSummary": "DPS and plug-and-play diffusion priors establish a substantial adjacent literature; InverseBench shows heterogeneous scientific settings, and the 2026 hallucination analysis sharpens the need for recognition and abstention. Broad inverse-diffusion uncertainty is not claimed as novel.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted searches for diffusion posterior sampling, measurement-consistent diffusion, inverse-problem uncertainty, hallucination, plug-and-play priors, and medical variants.",
        "result": "The broad space is crowded. The narrower joint test of constraint satisfaction and calibrated abstention under prospective shift was not established by the reviewed primary set; this is not proof of novelty.",
        "sourceIds": [
          "s032",
          "s069",
          "s075",
          "s076"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k06"
      ],
      "requiredComplementNodeIds": [
        "m06"
      ],
      "minimalExperiment": "Train or adapt on one accelerated-MRI scanner/domain A; reconstruct A and unseen B with injected operator shifts; measure data residual, reconstruction error, calibration error, and ability to abstain on hallucinated regions.",
      "baselines": [
        "Diffusion Posterior Sampling (DPS)",
        "DDRM where the operator permits it",
        "A strong deterministic reconstruction model",
        "A domain-specific iterative reconstruction method",
        "Simple residual and ensemble uncertainty baselines"
      ],
      "disconfirmingResult": "The proposed uncertainty signal does not rank unsupported reconstruction errors better than simple residual or ensemble baselines.",
      "resources": [
        "Approximately 4–8 modern GPUs for adaptation and evaluation",
        "Existing medical-imaging datasets",
        "No new imaging hardware for the first experiment"
      ],
      "crowdedness": "high",
      "tractability": "high",
      "failureReasons": [
        "Posterior approximations may be miscalibrated precisely where the learned prior dominates."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s032",
        "s069",
        "s075",
        "s076"
      ]
    },
    {
      "id": "card-opp02",
      "nodeId": "opp02",
      "title": "Persistent object-centric 3D state for generative world models",
      "summary": "A crowded, medium-tractability hypothesis: separate persistent state from visual rendering and test long-horizon identity, geometry, physics, and policy utility at matched compute.",
      "falsifiableQuestion": "At fixed video-generator capacity and training data, does explicit persistent 3D or object state reduce disappearance, duplicate creation, geometric drift, and physics violations over 30–120-second action-conditioned rollouts?",
      "proposedMechanism": "Combine CAP05 rendering and CAP06 structured dynamics with M05 geometry so the system maintains world state independently of pixels rather than rediscovering identity in every frame.",
      "unmetNeed": "More reliable robotics simulators, interactive games, and planning environments with persistent objects and long-horizon physical state.",
      "adjacentWorkSummary": "GameNGen and DIAMOND establish diffusion world-model adjacency; physics and consistency benchmarks establish the gap. Direct 3D/4D-consistency systems and patent PAT02 mean that “3D-consistent generative video” is not itself an open white space.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted searches for 3D world models, persistent scene state, object-centric video world models, 4D scene diffusion, physics video generation, interactive generative video, and a targeted patent check.",
        "result": "The field is crowded and converging. Only the matched-compute persistent-state test is retained as a hypothesis; no broad novelty is asserted.",
        "sourceIds": [
          "s037",
          "s064",
          "s065",
          "s079",
          "pat02"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k04",
        "constraint-k05"
      ],
      "requiredComplementNodeIds": [
        "m05",
        "m06"
      ],
      "minimalExperiment": "Instrument a game environment with ground-truth object IDs and geometry, then compare a pixel-only world model with a same-capacity state-augmented model.",
      "baselines": [
        "A DIAMOND or GameNGen-style visual world model",
        "A non-generative structured dynamics baseline"
      ],
      "disconfirmingResult": "State augmentation fails to improve long-horizon identity or physics metrics, or downstream policy performance, at matched compute.",
      "resources": [
        "A few dozen high-end GPUs for a game-scale experiment",
        "Simulator trajectories rather than real robotics initially"
      ],
      "crowdedness": "high",
      "tractability": "medium",
      "failureReasons": [
        "Learned state extraction may be harder than direct video generation.",
        "A state bottleneck may discard relevant visual detail."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s037",
        "s064",
        "s065",
        "s079",
        "pat02"
      ]
    },
    {
      "id": "card-opp03",
      "nodeId": "opp03",
      "title": "Path-consistent safety interventions for multimodal generative robot policies",
      "summary": "Very crowded prior art narrows this to an evaluation and mechanism question about constraint guarantees, task competence, multimodality, and distribution shift.",
      "falsifiableQuestion": "Can a safety mechanism guarantee state and action constraints while keeping interventions close enough to the learned behavior manifold that task completion and multimodal recovery do not collapse under distribution shift?",
      "proposedMechanism": "Represent multimodal action distributions with diffusion or flow policies and constrain them with a barrier or predictive-safety filter designed to preserve path consistency.",
      "unmetNeed": "Safe contact-rich and mobile manipulation in dynamic environments without forcing the learned policy into out-of-distribution trajectories.",
      "adjacentWorkSummary": "Path-consistent diffusion-policy filtering, barrier-enhanced flow matching, and constricting flows directly occupy broad safe generative control. The residual opportunity is narrow; broad novelty is explicitly disconfirmed.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted primary-record review of diffusion-policy safety filters, barrier-enhanced flow matching for VLAs, and constrained generative sampling.",
        "result": "Broad “safe diffusion or flow policy” is not open white space as of the cutoff. Only a narrow comparative question about preserving multimodality, calibration, and competence remains.",
        "sourceIds": [
          "s070",
          "s071",
          "s078"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k05",
        "constraint-k06"
      ],
      "requiredComplementNodeIds": [
        "m06"
      ],
      "minimalExperiment": "Use dynamic-obstacle manipulation with at least two valid avoidance modes and controlled novelty; measure violation rate, task success, action-distribution shift, and recovery diversity.",
      "baselines": [
        "Diffusion Policy with a conventional control-barrier-function filter",
        "A path-consistent safety filter",
        "A pi0 or flow-style policy when available"
      ],
      "disconfirmingResult": "A simple reactive filter achieves equal safety and task success without a meaningful distribution-shift penalty.",
      "resources": [
        "One to four robot arms or high-quality simulation",
        "Approximately 4–8 GPUs"
      ],
      "crowdedness": "high",
      "tractability": "high",
      "failureReasons": [
        "Formal guarantees may remain impossible for the learned closed-loop system with approximate dynamics."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s070",
        "s071",
        "s078"
      ]
    },
    {
      "id": "card-opp04",
      "nodeId": "opp04",
      "title": "Joint material structure and executable synthesis-protocol generation",
      "summary": "A medium-high-crowdedness, medium-low-tractability hypothesis: generate candidate structures and executable synthesis protocols jointly, then learn from laboratory outcomes.",
      "falsifiableQuestion": "Does jointly modeling candidate structure and property with executable synthesis actions reduce the fraction of high-scoring generated materials that cannot be synthesized, compared with structure-only generation plus recipe retrieval?",
      "proposedMechanism": "Use scientific diffusion for continuous structures, discrete diffusion or autoregressive planning for precursor and process steps, and an autonomous laboratory for outcome feedback.",
      "unmetNeed": "Close the gap between in-silico material novelty and successful laboratory realization.",
      "adjacentWorkSummary": "MatterGen, autonomous laboratories, active learning, and synthesis planning are substantial adjacent work. The proposed residual is their coupled structure/protocol distribution with explicit learning from failed synthesis; novelty remains unassessed.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted searches for inverse materials design, generative synthesis planning, autonomous laboratories, active learning, closed-loop discovery, reaction or protocol generation, and diffusion-material variants.",
        "result": "Heavy adjacent work was found. An exhaustive chemistry and materials patent search was not completed, so novelty is unassessed rather than asserted.",
        "sourceIds": [
          "s054",
          "s077"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k05",
        "constraint-k08"
      ],
      "requiredComplementNodeIds": [
        "m06"
      ],
      "minimalExperiment": "Within one inorganic synthesis family, compare structure-only MatterGen-like proposals plus recipe retrieval against a joint model; score synthesis success, target property, and experiments-to-hit.",
      "baselines": [
        "An A-Lab-like active-learning loop plus an existing structure generator"
      ],
      "disconfirmingResult": "Joint structure/protocol modeling does not improve synthesis success or sample efficiency.",
      "resources": [
        "Approximately 4–16 GPUs",
        "Automated synthesis and characterization equipment",
        "Machine-readable synthesis protocols and failed-outcome data"
      ],
      "crowdedness": "medium",
      "tractability": "low",
      "failureReasons": [
        "Laboratory outcome noise may overwhelm model benefit.",
        "Sparse, heterogeneous negative synthesis data may be insufficient."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s054",
        "s077"
      ]
    },
    {
      "id": "card-opp05",
      "nodeId": "opp05",
      "title": "Solver-certified manufacturable B-Rep and CAD generation",
      "summary": "A high-crowdedness hypothesis focused narrowly on kernel-executable certification and tolerance or process validity, not the already-occupied broad concept of manufacturable generative design.",
      "falsifiableQuestion": "Can a generative model produce native B-Rep or CAD designs that a geometry kernel and manufacturing solver certify at substantially higher yield than unconstrained generators, without collapsing design diversity?",
      "proposedMechanism": "Combine CAP06 structured generation and M05 exact geometry with an industrial CAD kernel and explicit topology, minimum-feature, tolerance, and process constraints.",
      "unmetNeed": "Move generative 3D from plausible visual assets to editable and manufacturable engineering geometry.",
      "adjacentWorkSummary": "BRepGen-style work, Img2CADSeq, BrepForge, and longstanding Autodesk generative-design patents make the broad concept dense. The residual test makes executable certification the training and evaluation target.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted academic search for B-Rep and image-to-CAD generation plus targeted patent reconnaissance for generative design and manufacturing constraints.",
        "result": "Broad manufacturable generative CAD is not novel. Only the implementation-specific solver-in-loop certification target remains a hypothesis; the patent review is not a freedom-to-operate search.",
        "sourceIds": [
          "s073",
          "s074",
          "pat01"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k05"
      ],
      "requiredComplementNodeIds": [
        "m05"
      ],
      "minimalExperiment": "Use a constrained bracket or fitting family with known CAD-validity tests; compare an unconstrained B-Rep generator, rejection sampling, projection, and solver-in-loop training.",
      "baselines": [
        "A BrepForge or BRepGen-style structured generator with post-hoc repair",
        "Rejection sampling",
        "Constraint projection"
      ],
      "disconfirmingResult": "Solver-in-loop generation offers no validity or diversity advantage over inexpensive post-hoc repair.",
      "resources": [
        "Approximately 4–8 GPUs",
        "A large CAD dataset",
        "A commercial or open geometry kernel",
        "No physical manufacturing for the initial experiment"
      ],
      "crowdedness": "high",
      "tractability": "high",
      "failureReasons": [
        "Certification objectives may collapse shape diversity.",
        "Kernel failures and mixed discrete/continuous geometry may be too discontinuous for training."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s073",
        "s074",
        "pat01"
      ]
    },
    {
      "id": "card-opp06",
      "nodeId": "opp06",
      "title": "Prospective OOD and hallucination alarms for medical and scientific inverse diffusion",
      "summary": "A medium-high-crowdedness, high-tractability-if-data-exists hypothesis: issue an alarm before ground truth when scanner, anatomy, operator, or disease shifts make reconstruction fragile.",
      "falsifiableQuestion": "Can a system identify, before a clinician or scientist sees the reconstruction, when quality is likely to deteriorate because scanner, anatomy, acquisition operator, or disease distribution differs from training?",
      "proposedMechanism": "Use CAP04 posterior samples, measurement residuals, and domain embeddings to estimate fragility and trigger calibrated alarm or abstention.",
      "unmetNeed": "Prevent strong priors from converting uncertainty into realistic but unsupported detail in high-stakes reconstruction.",
      "adjacentWorkSummary": "Medical score-based reconstruction, scientific inverse benchmarks, hallucination analysis, and reliability-guided diffusion are direct neighbors. Novelty is limited to a preregistered prospective alarm test under meaningful shifts.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted searches for OOD diffusion MRI reconstruction, inverse-problem uncertainty, medical reconstruction hallucination, and steerable conditional diffusion under OOD shift.",
        "result": "Direct neighboring work exists. Only the prospective, preregistered alarm or abstention test is retained as a residual opportunity.",
        "sourceIds": [
          "s033",
          "s069",
          "s075",
          "s076"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k06"
      ],
      "requiredComplementNodeIds": [
        "m06"
      ],
      "minimalExperiment": "Train on one institution and acquisition protocol, then prospectively evaluate two unseen sites or protocols; issue the alarm before using ground truth.",
      "baselines": [
        "A measurement-residual threshold",
        "Deterministic uncertainty quantification",
        "A deep ensemble",
        "Diffusion posterior variance"
      ],
      "disconfirmingResult": "Diffusion-derived uncertainty performs no better than ordinary residual or domain-shift detectors.",
      "resources": [
        "Approximately 4–8 GPUs",
        "Multi-site retrospective data",
        "Clinical governance before any deployment"
      ],
      "crowdedness": "high",
      "tractability": "high",
      "failureReasons": [
        "Generative uncertainty can itself be miscalibrated.",
        "Multi-site data access may be the binding constraint."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s033",
        "s069",
        "s075",
        "s076"
      ]
    },
    {
      "id": "card-opp07",
      "nodeId": "opp07",
      "title": "Causal audiovisual event-state generation",
      "summary": "A medium-crowdedness, medium-tractability hypothesis: make object contacts, material interactions, and event times explicit, then test synchronization and causal interventions.",
      "falsifiableQuestion": "Does a shared latent event state for objects, contacts, material interactions, and event times improve audiovisual synchronization and causal correctness beyond direct joint or separate perceptual generation?",
      "proposedMechanism": "Couple stochastic audio and video decoders through an explicit shared physical or event state before rendering.",
      "unmetNeed": "Better film and game simulation, robotics simulation, and audiovisual synthetic data with synchronized causal events.",
      "adjacentWorkSummary": "Diffusion-based synchronized video-to-audio and newer joint media systems make this adjacent rather than empty. The narrower target is explicit event-level state evaluated under interventions; the supplied registry lacks a fully transcribed Diff-Foley source record, so it is not added as a new citation here.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted searches for video-to-audio diffusion, audiovisual generation, synchronization, sound-event generation, physics-conditioned sound, and joint audio-video diffusion.",
        "result": "Substantial perceptual-generation work exists. Explicit causal event state under controlled intervention remains a hypothesis, not a novelty claim.",
        "sourceIds": [
          "s037",
          "s044"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k05",
        "constraint-k08"
      ],
      "requiredComplementNodeIds": [
        "m06"
      ],
      "minimalExperiment": "Generate controlled collisions, footsteps, and object interactions from a simulator with known event timing and physical parameters; compare a shared-state model with direct audiovisual generation.",
      "baselines": [
        "A Diff-Foley-style video-to-audio system",
        "A modern joint audiovisual generator"
      ],
      "disconfirmingResult": "Explicit state does not improve event timing, source localization, or out-of-distribution causal interventions.",
      "resources": [
        "Approximately 8–32 GPUs",
        "A large audiovisual dataset",
        "A modest simulator corpus with event ground truth"
      ],
      "crowdedness": "medium",
      "tractability": "medium",
      "failureReasons": [
        "Perceptual encoders may already capture enough event information, making explicit state redundant.",
        "Event labels and physical ground truth are scarce."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s037",
        "s044"
      ]
    },
    {
      "id": "card-opp08",
      "nodeId": "opp08",
      "title": "Audited synthetic data with per-sample privacy, provenance, and utility control",
      "summary": "A crowded but tractable hypothesis: select generated examples with joint privacy, coverage, and downstream-utility audits rather than assuming that more synthetic data helps.",
      "falsifiableQuestion": "Can a diffusion or flow synthetic-data pipeline select generated examples that improve real-domain downstream performance while meeting memorization or privacy thresholds and covering underrepresented real-data modes?",
      "proposedMechanism": "Condition generators on requested concepts, screen samples with influence or membership tests, and estimate real-domain gap and coverage with embeddings plus downstream evaluation.",
      "unmetNeed": "Useful shareable training data for domains with expensive labels or redistribution limits without silently leaking examples or widening domain gaps.",
      "adjacentWorkSummary": "StableRep and diffusion augmentation demonstrate downstream utility, while extraction work demonstrates memorization. Privacy-preserving synthetic data is crowded; the residual question is whether sample-level multi-objective auditing predicts real-domain value.",
      "noveltySearch": {
        "status": "partial",
        "asOf": "2026-08-19",
        "scope": "Targeted searches for diffusion synthetic training data, privacy-preserving synthetic data, membership inference, memorization-aware generation, and synthetic-data attribution.",
        "result": "The literature is crowded. The multi-objective sample-selection test is retained as a falsifiable question, not a broad novelty claim.",
        "sourceIds": [
          "s066",
          "s067",
          "s068"
        ]
      },
      "blockerConstraintIds": [
        "constraint-k03",
        "constraint-k06",
        "constraint-k08"
      ],
      "requiredComplementNodeIds": [
        "m06"
      ],
      "minimalExperiment": "With a fixed real-data budget for ImageNet-like or medical classification, compare real-only training, unfiltered synthetic augmentation, privacy-only filtering, and joint privacy/coverage/utility selection.",
      "baselines": [
        "StableRep or Azizi-style synthetic augmentation",
        "Simple deduplication",
        "Confidence-only filtering",
        "Diversity-only filtering"
      ],
      "disconfirmingResult": "Joint auditing fails to outperform simple confidence or diversity filtering, or its utility loss negates the privacy gain.",
      "resources": [
        "Approximately 8–32 GPUs depending on generator scale",
        "No special equipment"
      ],
      "crowdedness": "high",
      "tractability": "high",
      "failureReasons": [
        "Attribution and membership metrics may not track true privacy.",
        "Audit metrics may not predict downstream usefulness."
      ],
      "evidenceGrade": "hypothesis",
      "status": "hypothesis",
      "sourceIds": [
        "s066",
        "s067",
        "s068"
      ]
    }
  ],
  "unresolvedClaims": [
    {
      "id": "claim-u01",
      "claim": "Exact historical influence of denoising autoencoders on the 2015 diffusion-model conception.",
      "reason": "influence_not_verified",
      "status": "open",
      "relatedNodeIds": [
        "p04",
        "c01",
        "c03"
      ],
      "relatedRelationshipIds": [
        "r005"
      ],
      "sourceIds": [
        "s004",
        "s007",
        "s009"
      ],
      "notes": "DDPM explicitly invokes Vincent’s result, but the reviewed 2015 primary text does not justify upgrading this to direct historical influence."
    },
    {
      "id": "claim-u02",
      "claim": "Whether flow matching and rectified flow should taxonomically be called diffusion.",
      "reason": "scope_unclear",
      "status": "open",
      "relatedNodeIds": [
        "c03",
        "c04",
        "s03"
      ],
      "relatedRelationshipIds": [
        "r038",
        "r078"
      ],
      "sourceIds": [
        "s025",
        "s026",
        "s027"
      ],
      "notes": "Shared probability-path and SDE connections coexist with distinct objectives and deterministic transport formulations; the alpha treats flow as a formal neighbor and partial substitute."
    },
    {
      "id": "claim-u03",
      "claim": "Global image-generation saturation.",
      "reason": "conflicting_evidence",
      "status": "resolved",
      "relatedNodeIds": [
        "a01",
        "r06",
        "s03",
        "k07",
        "k08"
      ],
      "relatedRelationshipIds": [
        "r033",
        "r039",
        "r072",
        "r073"
      ],
      "sourceIds": [
        "s020",
        "s027"
      ],
      "notes": "Rejected as unsupported at the report cutoff; scaling results are counterevidence, while only particular engineering dimensions show mature returns."
    },
    {
      "id": "claim-u04",
      "claim": "DiffDock establishes general superiority of diffusion for docking.",
      "reason": "conflicting_evidence",
      "status": "partially_resolved",
      "relatedNodeIds": [
        "a06",
        "f03"
      ],
      "relatedRelationshipIds": [
        "r059"
      ],
      "sourceIds": [
        "s052",
        "s056"
      ],
      "notes": "Later conventional-docking comparisons materially alter the ranking; matched replication remains a manual-review requirement."
    },
    {
      "id": "claim-u05",
      "claim": "Diffusion video models are genuine general-purpose world models.",
      "reason": "scope_unclear",
      "status": "open",
      "relatedNodeIds": [
        "a03",
        "a08",
        "k04",
        "k05",
        "k06"
      ],
      "relatedRelationshipIds": [
        "r045",
        "r048",
        "r067",
        "r068",
        "r069"
      ],
      "sourceIds": [
        "s037",
        "s064",
        "s065",
        "s079"
      ],
      "notes": "Interactive demonstrations exist, but long-horizon physical, causal, and domain-transfer evidence remains insufficient."
    },
    {
      "id": "claim-u06",
      "claim": "Standardized diffusion energy inefficiency relative to competing paradigms.",
      "reason": "other",
      "status": "open",
      "relatedNodeIds": [
        "k02",
        "k07"
      ],
      "relatedRelationshipIds": [
        "r071",
        "r072"
      ],
      "sourceIds": [
        "s009",
        "s012",
        "s022",
        "s027",
        "s038",
        "s039"
      ],
      "notes": "The report found compute, memory, model-size, and step-count evidence but insufficient comparable joules-level measurements across model families."
    },
    {
      "id": "claim-u07",
      "claim": "Broad novelty of safe diffusion or flow robot policies.",
      "reason": "novelty_unverified",
      "status": "resolved",
      "relatedNodeIds": [
        "a07",
        "opp03"
      ],
      "relatedRelationshipIds": [
        "r079",
        "r084"
      ],
      "sourceIds": [
        "s070",
        "s071",
        "s078"
      ],
      "notes": "Broad novelty is disconfirmed by direct 2025–2026 work; only the narrower intervention-quality hypothesis remains."
    },
    {
      "id": "claim-u08",
      "claim": "Broad novelty of generative manufacturable CAD.",
      "reason": "novelty_unverified",
      "status": "resolved",
      "relatedNodeIds": [
        "a05",
        "opp05"
      ],
      "relatedRelationshipIds": [
        "r087",
        "r088"
      ],
      "sourceIds": [
        "s073",
        "s074",
        "pat01"
      ],
      "notes": "Direct B-Rep generation work and generative-design patents occupy the broad concept; patent reconnaissance was not a freedom-to-operate search."
    },
    {
      "id": "claim-u09",
      "claim": "Bibliographic completeness for selected 2025–2026 primary records.",
      "reason": "other",
      "status": "open",
      "relatedNodeIds": [
        "r08",
        "a02",
        "a05",
        "a06",
        "a07",
        "opp03",
        "opp05",
        "opp06"
      ],
      "relatedRelationshipIds": [],
      "sourceIds": [
        "s055",
        "s056",
        "s061",
        "s063",
        "s069",
        "s070",
        "s071",
        "s073",
        "s074",
        "s075",
        "s076",
        "s078",
        "s079"
      ],
      "notes": "Stable identifiers and titles were supplied, but several author lists or final publication details require manual transcription and current-version review before public ingestion."
    }
  ]
}
