Paper Citation Record · LEDGER

Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 28 inbound Pith citation observations for arXiv:2409.18804.

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

pith.paper-citation-record.v1
2409.18804 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 28 of 28 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:03:33.457126Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:49:52.498904Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 77beb34d-7ae2-4913-b5d2-42092dfd63b7 · inbound

Low-dimensional adaptation of diffusion models: Convergence in total variation cites this paper.

Low-dimensional adaptation of diffusion models: Convergence in total variation Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T16:42:26.272564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df76071a-4f9c-46f6-95a3-a688a574a1b9 · inbound

Adaptivity and Convergence of Probability Flow ODEs in Diffusion Generative Models cites this paper.

Adaptivity and Convergence of Probability Flow ODEs in Diffusion Generative Models Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-09T22:27:37.374400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcdfc762-fa95-4a98-9e47-3421431e264e · inbound

Resolving Memorization in Empirical Diffusion Model for Manifold Data in High-Dimensional Spaces cites this paper.

Resolving Memorization in Empirical Diffusion Model for Manifold Data in High-Dimensional Spaces Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:33.457126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebbc430f-6932-43a3-a456-214ea9ae070c · inbound

Assessing the Quality of Denoising Diffusion Models in Wasserstein Distance: Noisy Score and Optimal Bounds cites this paper.

Assessing the Quality of Denoising Diffusion Models in Wasserstein Distance: Noisy Score and Optimal Bounds Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T04:51:16.580890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c46298c-6d55-4a35-af66-ed7d47514f84 · inbound

Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models cites this paper.

Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T00:49:43.063830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c38d1631-e576-43eb-9573-30acae01a2f5 · inbound

Generative model for optimal density estimation on unknown manifold cites this paper.

Generative model for optimal density estimation on unknown manifold Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:44.789705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74e011cf-8938-4d64-9676-24a83a04fca6 · inbound

Faster Diffusion Models via Higher-Order Approximation cites this paper.

Faster Diffusion Models via Higher-Order Approximation Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T21:45:12.399236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00cb1544-b0b2-4974-90f6-df1c0d567569 · inbound

Implicit Regularisation in Diffusion Models: An Algorithm-Dependent Generalisation Analysis cites this paper.

Implicit Regularisation in Diffusion Models: An Algorithm-Dependent Generalisation Analysis Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T20:15:02.178672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9c142e2-377a-462e-a619-ad3e9ec5a6eb · inbound

Generalization bounds for score-based generative models: a synthetic proof cites this paper.

Generalization bounds for score-based generative models: a synthetic proof Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1982

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:28.161064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b3283b0-8492-46ce-b9bf-8544f606a05c · inbound

Diffusion and Flow-based Copulas: Forgetting and Remembering Dependencies cites this paper.

Diffusion and Flow-based Copulas: Forgetting and Remembering Dependencies Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5ac679d9-b798-4618-b7af-24080ac65c1e · inbound

Fast Score-Based Sampling via Log-Concave Reductions cites this paper.

Fast Score-Based Sampling via Log-Concave Reductions Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T13:36:13.734744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65f92eb8-dda2-453e-a1f7-a1842c682250 · inbound

Diffusion Model for Manifold Data: Score Decomposition, Curvature, and Statistical Complexity cites this paper.

Diffusion Model for Manifold Data: Score Decomposition, Curvature, and Statistical Complexity Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a02f17ff-0b29-4f60-ac97-fbe71cf117b4 · inbound

Transformers Learn the Optimal DDPM Denoiser for Multi-Token GMMs cites this paper.

Transformers Learn the Optimal DDPM Denoiser for Multi-Token GMMs Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a60d9849-604d-402f-b2fc-85ffd0e40c4a · inbound

Simultaneous CNN Approximation on Manifolds with Applications to Boundary Value Problems cites this paper.

Simultaneous CNN Approximation on Manifolds with Applications to Boundary Value Problems Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 59e69ddf-db31-443e-92f7-eb8dc03a996b · inbound

Simultaneous CNN Approximation on Manifolds with Applications to Boundary Value Problems cites this paper.

Simultaneous CNN Approximation on Manifolds with Applications to Boundary Value Problems Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9794aee9-dbd3-424c-97de-cd12e0ea3db2 · inbound

Understanding diffusion models requires rethinking (again) generalization cites this paper.

Understanding diffusion models requires rethinking (again) generalization Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1f452728-9513-438e-9951-079956ea0105 · inbound

Statistical Convergence of Spherical First Hitting Diffusion Models cites this paper.

Statistical Convergence of Spherical First Hitting Diffusion Models Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b5e133c2-4fe3-43bc-96ee-c730d7907e98 · inbound

On the Limits of Latent Reuse in Diffusion Models cites this paper.

On the Limits of Latent Reuse in Diffusion Models Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 99f0057b-e034-4b1b-9c44-2737be0a572a · inbound

Finite Sample Bounds for Learning with Score Matching cites this paper.

Finite Sample Bounds for Learning with Score Matching Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e5bc095e-5de1-4a83-ac9f-ae2a1042f7a2 · inbound

Intrinsic Wasserstein Rates for Score-Based Generative Models on Smooth Manifolds cites this paper.

Intrinsic Wasserstein Rates for Score-Based Generative Models on Smooth Manifolds Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e8fddc97-875a-4442-8719-024c3a83f121 · inbound

A note on connections between the F\"ollmer process and the denoising diffusion probabilistic model cites this paper.

A note on connections between the F\"ollmer process and the denoising diffusion probabilistic model Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6e06263e-b4be-4825-b77d-7fb9a2a94f2c · inbound

Provably Learning Diffusion Models under the Manifold Hypothesis: Collapse and Refine cites this paper.

Provably Learning Diffusion Models under the Manifold Hypothesis: Collapse and Refine Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 92461ffc-0615-4f4b-8a0b-496fd4ab3863 · inbound

Diffusion-based Denoising Beats Vanilla Score Matching in Parameter Estimation: A Theoretical Explanation cites this paper.

Diffusion-based Denoising Beats Vanilla Score Matching in Parameter Estimation: A Theoretical Explanation Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 128cfbfa-5d5e-4c1d-ae41-24363166be5b · inbound

Diffusion Image Generation with Explicit Modeling of Data Manifold Geometry cites this paper.

Diffusion Image Generation with Explicit Modeling of Data Manifold Geometry Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2d04dca9-5393-4b0e-842d-c77aff8803b4 · inbound

Diffusion Image Generation with Explicit Modeling of Data Manifold Geometry cites this paper.

Diffusion Image Generation with Explicit Modeling of Data Manifold Geometry Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ff22a3b5-76c4-419b-9cd5-61ccedffc64a · inbound

Optimal score function estimation via derivatives constraints cites this paper.

Optimal score function estimation via derivatives constraints Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3ef4ef5c-9b70-42d3-a573-48d443b2fe5e · inbound

Diffusion Models Adapt to Low-Dimensional Structure Under Flexible Coefficient Choices cites this paper.

Diffusion Models Adapt to Low-Dimensional Structure Under Flexible Coefficient Choices Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-08-10T01:08:57.685143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 38c1bf84-c394-4025-ab96-2bd50ef099ef · inbound

Exact simulation of diffusions and improved algorithms for log-concave sampling cites this paper.

Exact simulation of diffusions and improved algorithms for log-concave sampling Convergence of Diffusion Models Under the Manifold Hypothesis in High-Dimensions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T11:25:21.022952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.