Paper Citation Record · LEDGER

Generalization in diffusion models arises from geometry-adaptive harmonic representations

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 29 inbound Pith citation observations for arXiv:2310.02557.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2310.02557 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 29 of 29 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:04:51.420958Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T01:26:43.160993Z

Reference resolution

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External citation measurements

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Outbound references

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Pith citing papers

Observation fdb82886-b5c1-47cc-afed-2c2dffe5cea8 · inbound

A solvable generative model with a linear, one-step denoiser cites this paper.

A solvable generative model with a linear, one-step denoiser Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T12:01:21.833413Z

Source-reported events for the cited work

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Observation 351cca57-84a6-4f8e-ba5e-43ece73c92bb · inbound

GMem: A Modular Approach for Ultra-Efficient Generative Models cites this paper.

GMem: A Modular Approach for Ultra-Efficient Generative Models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 9

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Source-reported events for the cited work

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Observation 234d1c11-a185-4563-83b8-78d5091996cf · inbound

The Unreasonable Effectiveness of Gaussian Score Approximation for Diffusion Models and its Applications cites this paper.

The Unreasonable Effectiveness of Gaussian Score Approximation for Diffusion Models and its Applications Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-11T16:54:56.775471Z

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Observation 89f8a532-31f9-48dc-85dc-d90f3719d8a8 · inbound

An analytic theory of creativity in convolutional diffusion models cites this paper.

An analytic theory of creativity in convolutional diffusion models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 23

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Observation a29b1f14-7036-4d01-9d5f-ed42a0faf9e5 · inbound

ConceptAttention: Diffusion Transformers Learn Highly Interpretable Features cites this paper.

ConceptAttention: Diffusion Transformers Learn Highly Interpretable Features Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-08T22:51:30.416092Z

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Observation b28cd27e-4dd6-45a2-aed8-021e6fba1154 · inbound

Shaping Inductive Bias in Diffusion Models through Frequency-Based Noise Control cites this paper.

Shaping Inductive Bias in Diffusion Models through Frequency-Based Noise Control Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T18:58:09.589714Z

Source-reported events for the cited work

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Observation 41c67642-a86a-4812-88be-c57501180a9c · inbound

From Score Matching to Diffusion: A Fine-Grained Error Analysis in the Gaussian Setting cites this paper.

From Score Matching to Diffusion: A Fine-Grained Error Analysis in the Gaussian Setting Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-23T00:12:17.761345Z

Source-reported events for the cited work

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Observation 01be6ff5-9c26-4339-a9c1-43326312a9e2 · inbound

Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models cites this paper.

Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T14:57:47.428335Z

Source-reported events for the cited work

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Observation 9b1f5f62-7c94-45b9-bce1-e00c9682067b · inbound

Navigating the Latent Space Dynamics of Neural Models cites this paper.

Navigating the Latent Space Dynamics of Neural Models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 29

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Source-reported events for the cited work

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Observation 2327e14d-a5a3-4811-9419-794179680f8d · inbound

Diffusion models under low-noise regime cites this paper.

Diffusion models under low-noise regime Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 11

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Observation 16bef3ba-3599-4be1-8783-21bc27ba01de · inbound

Deterministic diffusion models for Lagrangian turbulence: robustness and encoding of extreme events cites this paper.

Deterministic diffusion models for Lagrangian turbulence: robustness and encoding of extreme events Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T18:04:51.420958Z

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Observation f3725edc-6f49-4575-aa88-61b49cceb05e · inbound

When and how can inexact generative models still sample from the data manifold? cites this paper.

When and how can inexact generative models still sample from the data manifold? Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T22:07:58.123761Z

Source-reported events for the cited work

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Observation e6be8a45-42da-44d2-bc13-3912ba0f45eb · inbound

On the Complexity-Faithfulness Trade-off of Gradient-Based Explanations cites this paper.

On the Complexity-Faithfulness Trade-off of Gradient-Based Explanations Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T20:29:39.825195Z

Source-reported events for the cited work

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Observation 77adf2ed-9824-46a3-85f3-b2d507f73100 · inbound

Fitting Image Diffusion Models on Video Datasets cites this paper.

Fitting Image Diffusion Models on Video Datasets Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T10:46:05.951165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 423b9e48-ee78-4515-bc79-e12055d95159 · inbound

Generation Properties of Stochastic Interpolation under Finite Training Set cites this paper.

Generation Properties of Stochastic Interpolation under Finite Training Set Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T15:55:55.300263Z

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Observation 6ac80833-7c35-4a85-84a3-3d7c6b9abd8d · inbound

On the Separability of Information in Diffusion Models cites this paper.

On the Separability of Information in Diffusion Models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T14:47:36.886658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2253a467-f80e-4afa-ba55-67a03aa6c313 · inbound

BADiff: Bandwidth Adaptive Diffusion Model cites this paper.

BADiff: Bandwidth Adaptive Diffusion Model Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-18T04:32:23.180249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3f530f76-887c-407b-8581-b0320044dc68 · inbound

Diffusion Models Memorize in Training -- and Generalize in Inference cites this paper.

Diffusion Models Memorize in Training -- and Generalize in Inference Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-21T10:54:07.933541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 33a9dcc4-fe42-40e8-9d00-99400762bcd2 · inbound

Generalization and Memorization in Rectified Flow cites this paper.

Generalization and Memorization in Rectified Flow Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-15T12:03:26.994509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c49c630-8a21-451f-ab25-0c6b1b5633ce · inbound

Grokking of Diffusion Models: Case Study on Modular Addition cites this paper.

Grokking of Diffusion Models: Case Study on Modular Addition Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-10T06:56:47.853650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f7409b4e-d6b5-4a98-b600-559a023dbb30 · inbound

Language Diffusion Models are Associative Memories Capable of Retrieving Unseen Data cites this paper.

Language Diffusion Models are Associative Memories Capable of Retrieving Unseen Data Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:11:27.301537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 31a0d23b-dfc9-4949-beb5-84c644246257 · inbound

Mechanisms of Misgeneralization in Physical Sequence Modeling cites this paper.

Mechanisms of Misgeneralization in Physical Sequence Modeling Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 130

Resolution: verified exact; arxiv_id, observed 2026-05-21T07:44:48.774868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 52d68964-e95f-4717-9e34-5540825f95c2 · inbound

Generating quantum ensembles via reverse-time quantum diffusions cites this paper.

Generating quantum ensembles via reverse-time quantum diffusions Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T03:46:32.893385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5ca0710c-dfc5-412f-908e-fc94f7be7259 · inbound

A Theoretical Analysis of Memory and Overfitting Phenomena in Stochastic Interpolation Models cites this paper.

A Theoretical Analysis of Memory and Overfitting Phenomena in Stochastic Interpolation Models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 4

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T22:57:26.197249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3d54e5da-fce2-4b5d-b51e-c8b5a91e0c99 · inbound

Diffusion Model Attribution via Spectral Coupling of Denoiser Responses cites this paper.

Diffusion Model Attribution via Spectral Coupling of Denoiser Responses Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-01T17:05:50.981372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 66b0988b-0f5a-4032-8f7f-3f4d2a0affa2 · inbound

An exact information theory of generalization phase transitions in Bayesian diffusion models cites this paper.

An exact information theory of generalization phase transitions in Bayesian diffusion models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-10T01:26:43.162361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 26071ca3-9e83-44b8-974b-a4882c45c50a · inbound

Toward a mechanistic understanding of inference in visual cortex and diffusion models cites this paper.

Toward a mechanistic understanding of inference in visual cortex and diffusion models Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-01T22:40:53.327655Z

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Observation 066bd68e-88e9-4b5b-98f8-7b0183d3f226 · inbound

Explorative Modeling: Unlocking a Third Pretraining Axis and End-to-End Generation cites this paper.

Explorative Modeling: Unlocking a Third Pretraining Axis and End-to-End Generation Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-01T08:41:09.550212Z

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Observation ef20cd42-dc0d-4a34-92ab-de6f321da31b · inbound

Trajectory inference via Acceleration Matching cites this paper.

Trajectory inference via Acceleration Matching Generalization in diffusion models arises from geometry-adaptive harmonic representations

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T14:51:55.784203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.