Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors | Paper Citation Record

Observation 9a2bf95a-a13f-4c12-ab0c-40cf9ea29377 · outbound

This paper cites Lectures in Mathematics ETH Zürich.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Lectures in Mathematics ETH Zürich

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.238878Z

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Observation 68e0d08d-dbe6-4909-8ac7-d171f0e3005b · outbound

This paper cites Reverse-time diffusion equation models.Stochastic Processes and their Applications, 12(3):313–326.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Reverse-time diffusion equation models.Stochastic Processes and their Applications, 12(3):313–326

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.190279Z

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Observation 8e037650-e6fb-40b7-841a-ffc041ba880a · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.199159Z

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Observation eb89c7f5-b4fa-4836-b81a-5749f3b08007 · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.219979Z

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Observation cc9b2d35-8e7e-4077-8016-826afa48cd61 · outbound

This paper cites A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.Numerische Mathematik, 84:375–393, 2000.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.Numerische Mathematik, 84:375–393, 2000

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.284535Z

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Observation 2b748f50-e754-40a4-87fe-2242c116cfa2 · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.301013Z

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Observation ed075904-9904-4c77-88fc-7e20e3b065b3 · outbound

This paper cites Nearly d-linear convergence bounds for diffusion models via stochastic localization.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Nearly d-linear convergence bounds for diffusion models via stochastic localization

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.302781Z

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Observation 738ce750-9687-42fb-bd7f-19f999f4af4e · outbound

This paper cites The Helmholtz- Hodge decomposition—a survey.IEEE Transactions on Visualization and Computer Graphics, 19(8):1386–1404, 2013.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors The Helmholtz- Hodge decomposition—a survey.IEEE Transactions on Visualization and Computer Graphics, 19(8):1386–1404, 2013

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.306288Z

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Observation 6602ad08-d645-4b9d-bf55-b4c249829222 · outbound

This paper cites Bogachev, Nicolai V.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Bogachev, Nicolai V

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.294050Z

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Observation 055e7eac-2a9d-4078-bc37-84ed148750a7 · outbound

This paper cites Convergence of denoising diffusion models under the manifold hypothesis.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Convergence of denoising diffusion models under the manifold hypothesis

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.285242Z

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Observation 467b8cf3-adbf-47da-88f2-1d1c3e43ed92 · outbound

This paper cites Springer, 2010.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Springer, 2010

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.270335Z

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Observation c7c63d7a-d52e-4d86-b9f7-80e8d6973e6e · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.249056Z

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Observation 26483915-a383-460a-87e4-5e007abd8dbe · outbound

This paper cites Time reversal of diffusion processes under a finite entropy condition.Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 59(4):1844 – 1881.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Time reversal of diffusion processes under a finite entropy condition.Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 59(4):1844 – 1881

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.230214Z

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Observation 80a0794e-a578-4d5b-a6fd-fe93d623b936 · outbound

This paper cites On investigating the conservative property of score-based generative models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors On investigating the conservative property of score-based generative models

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.271371Z

Source-reported events for the cited work

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Observation aceea744-1eb5-4dc1-b6f7-76db696a1e20 · outbound

This paper cites Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.198463Z

Source-reported events for the cited work

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Observation 2b7fc1d3-0c8e-4f7b-83ff-773f891d23e0 · outbound

This paper cites Score approximation, estimation and distribution recovery of diffusion models on low-dimensional data.40th International Conference on Machine Learning, ICML, 2023.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Score approximation, estimation and distribution recovery of diffusion models on low-dimensional data.40th International Conference on Machine Learning, ICML, 2023

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.203542Z

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Observation df8a7347-179a-4698-9824-5e602223b56f · outbound

This paper cites Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.205827Z

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Observation 87582da6-7764-4cc9-b929-ece18e8e9cf8 · outbound

This paper cites Springer.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Springer

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.223624Z

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Observation f5e5dab2-d429-4da9-a90c-d5d1e21b3d27 · outbound

This paper cites Perception prioritized training of diffusion models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Perception prioritized training of diffusion models

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.192502Z

Source-reported events for the cited work

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Observation b474e19c-f8f3-49bc-b305-20ff9dc44f84 · outbound

This paper cites Doléans-Dade.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Doléans-Dade

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.177120Z

Source-reported events for the cited work

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Observation 24e4cdbf-868e-4f71-b7cd-01b08590011a · outbound

This paper cites From optimal score matching to optimal sampling.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors From optimal score matching to optimal sampling

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-06-30T11:04:37.639229Z

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Observation 4acfa81e-9cfb-4341-840f-14b96a37328b · outbound

This paper cites Springer Nature, 2021.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Springer Nature, 2021

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.196742Z

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Observation 0fb7ce06-a704-4379-a102-c05233917d2d · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.231108Z

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Observation 99438518-6b04-49ce-9d9e-809e46f832f4 · outbound

This paper cites Divergence-free diffusion models for incompressible fluid flows, 2026.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Divergence-free diffusion models for incompressible fluid flows, 2026

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.214427Z

Source-reported events for the cited work

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Observation a95c0637-3731-4425-9741-9f9b2f352424 · outbound

This paper cites On transforming a certain class of stochastic processes by absolutely con- tinuous substitution of measures.Theory of Probability & Its Applications, 5(3):285–301, 1960.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors On transforming a certain class of stochastic processes by absolutely con- tinuous substitution of measures.Theory of Probability & Its Applications, 5(3):285–301, 1960

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.225457Z

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Observation c16564e0-1d86-4aad-9d62-19b94a7227d3 · outbound

This paper cites Solving high-dimensional partial differential equations using deep learning.Proceedings of the National Academy of Sciences, 115(34):8505– 8510.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Solving high-dimensional partial differential equations using deep learning.Proceedings of the National Academy of Sciences, 115(34):8505– 8510

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.232913Z

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Observation ef5d7094-932b-43ea-b8e7-d77e5ebbf4af · outbound

This paper cites Maddix, Shima Alizadeh, Gaurav Gupta, and Michael W.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Maddix, Shima Alizadeh, Gaurav Gupta, and Michael W

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.300779Z

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Observation 7809589c-4016-4dbf-a84b-f6e63c12e7bc · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.182609Z

Source-reported events for the cited work

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Observation 82fb540b-3a6c-4a82-9879-567daea24a1a · outbound

This paper cites Gans trained by a two time-scale update rule converge to a local nash equilibrium.Advances in Neural Information Processing Systems 30 (NIPS 2017), 2017.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Gans trained by a two time-scale update rule converge to a local nash equilibrium.Advances in Neural Information Processing Systems 30 (NIPS 2017), 2017

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.179257Z

Source-reported events for the cited work

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Observation 8076774d-ffc1-4647-ac71-304e55361834 · outbound

This paper cites Denoising diffusion probabilistic models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Denoising diffusion probabilistic models

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.264356Z

Source-reported events for the cited work

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Observation b9d52dc4-7aab-4e42-b2b7-82ad59e8a96b · outbound

This paper cites Multilayer feedforward networks are universal approximators.Neural Networks, 2, 1989.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Multilayer feedforward networks are universal approximators.Neural Networks, 2, 1989

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.228338Z

Source-reported events for the cited work

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Observation bd757eb4-fc6b-4f4b-9d37-e11595ce1b03 · outbound

This paper cites On gauge freedom, conservativity and intrinsic dimensionality estimation in diffusion models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors On gauge freedom, conservativity and intrinsic dimensionality estimation in diffusion models

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.218343Z

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Observation 6bf4f38a-423e-4faf-a18a-08d3ef5d274c · outbound

This paper cites Estimation of non-normalized statistical models by score matching.Journal of Machine Learning Research, 6:695–709, 2005.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Estimation of non-normalized statistical models by score matching.Journal of Machine Learning Research, 6:695–709, 2005

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.293856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c1bfbe80-a165-4107-bc95-468ab85b0739 · outbound

This paper cites Some extensions of score matching.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Some extensions of score matching

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.292370Z

Source-reported events for the cited work

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Observation b5b55f45-bce4-4913-9a7b-e3850f575ac5 · outbound

This paper cites The variational formulation of the fokker– planck equation.SIAM Journal on Mathematical Analysis, 29(1):1–17.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors The variational formulation of the fokker– planck equation.SIAM Journal on Mathematical Analysis, 29(1):1–17

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.295783Z

Source-reported events for the cited work

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Observation 89791941-be1a-47b3-b286-e24fee09c3f2 · outbound

This paper cites Springer.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Springer

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.304239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 07b07e01-0f4b-4bbf-a400-6c893866b977 · outbound

This paper cites Quantifying Error Propagation and Model Collapse in Diffusion Models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Quantifying Error Propagation and Model Collapse in Diffusion Models

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-06-30T11:04:37.641611Z

Source-reported events for the cited work

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Observation 8f1a0faf-732b-488f-8a13-4ad827a3514e · outbound

This paper cites Understanding diffusion objectives as the ELBO with simple data augmentation.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Understanding diffusion objectives as the ELBO with simple data augmentation

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.290767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 59037032-748e-47b8-9d76-b209dd6a0eef · outbound

This paper cites Variational diffusion models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Variational diffusion models

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.283457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ae496866-55f1-4134-a5cd-e406498ef0c5 · outbound

This paper cites Kingma and Jimmy Ba.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Kingma and Jimmy Ba

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.289012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b382251e-99f3-4a48-af29-d68efab4ec04 · outbound

This paper cites Learning multiple layers of features from tiny images.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Learning multiple layers of features from tiny images

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.297599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 735192e7-07a0-467b-88cd-b8ebb28b537c · outbound

This paper cites Springer Publishing Company, Incorporated, 2018.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Springer Publishing Company, Incorporated, 2018

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.309810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 33274b76-c4cb-477f-9059-1adc8379307b · outbound

This paper cites Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11), 1998.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11), 1998

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.277873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation df6723cd-82a8-452d-ac58-084eb40b61d0 · outbound

This paper cites A tutorial on energy-based learning.Predicting Structured Data, 1(0), 2006.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors A tutorial on energy-based learning.Predicting Structured Data, 1(0), 2006

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.308040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8ecbad6b-6368-4fa9-88ea-f3b644fadeca · outbound

This paper cites Beta Sampling is All You Need: Efficient Image Generation Strategy for Diffusion Models Using Stepwise Spectral Analysis.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Beta Sampling is All You Need: Efficient Image Generation Strategy for Diffusion Models Using Stepwise Spectral Analysis

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.241153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e57e7154-5728-4a69-8dd5-de85fb4bd62b · outbound

This paper cites Convergence for score-based generative modeling with polynomial complexity.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Convergence for score-based generative modeling with polynomial complexity

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.236792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ec446d4c-4c8d-42d2-8f56-de1bfb8532ce · outbound

This paper cites Lewis, Oliver Y.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Lewis, Oliver Y

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-06-30T11:04:37.644035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9142dead-6a20-4187-ae03-5463fb2221d2 · outbound

This paper cites Project and generate: Divergence-free neural operators for incompress- ible flows, 2026.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Project and generate: Divergence-free neural operators for incompress- ible flows, 2026

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-06-30T11:04:37.646774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0c466448-cbfb-4858-be38-b0abe1655e80 · outbound

This paper cites Decoupled weight decay regularization.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Decoupled weight decay regularization

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.231871Z

Source-reported events for the cited work

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Observation 728c8906-e92e-4a91-b682-6658073aac15 · outbound

This paper cites The expressive power of neural networks: A view from the width.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors The expressive power of neural networks: A view from the width

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.235355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ba3a211-8f5a-4691-8aad-c45b3e2848bd · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.255763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c653a10-4b9f-4878-bd9e-e446ce7d57f7 · outbound

This paper cites Diffusion models are minimax optimal distribution estimators.International Conference on Machine Learning, 2023.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Diffusion models are minimax optimal distribution estimators.International Conference on Machine Learning, 2023

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.313415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 30345ff1-fd48-4812-92a1-667b99be91e7 · outbound

This paper cites The geometry of dissipative evolution equations: The porous medium equation.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors The geometry of dissipative evolution equations: The porous medium equation

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.226505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0f39fa37-989b-4afc-a8df-7559550d1b61 · outbound

This paper cites Pavliotis.Stochastic Processes and Applications: Diffusion Processes, the Fokker- Planck and Langevin Equations.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Pavliotis.Stochastic Processes and Applications: Diffusion Processes, the Fokker- Planck and Langevin Equations

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.261805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1d53aa2-a4ef-4d05-8fc2-75e1e5cec411 · outbound

This paper cites Peebles and Saining Xie.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Peebles and Saining Xie

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.219275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 37cfc715-4770-4875-943c-b2c9d951a8cc · outbound

This paper cites Score-based generative models detect manifolds.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Score-based generative models detect manifolds

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.311634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9ae0571a-61c2-44b9-86ca-b853eb9a9c91 · outbound

This paper cites an unresolved cited work.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-07-09T12:06:14.217603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d090e781-00d4-4850-b5a8-d7821234d1b2 · outbound

This paper cites U-net: Convolutional networks for biomedical image segmentation.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors U-net: Convolutional networks for biomedical image segmentation

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.221016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6c48a93e-bdb8-4ede-b2d2-30cc47fc026f · outbound

This paper cites Should EBMs model the energy or the score? InEnergy Based Models Workshop - ICLR 2021, 2021.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Should EBMs model the energy or the score? InEnergy Based Models Workshop - ICLR 2021, 2021

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.224775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 10d0b8f1-c06a-4747-b1d6-758cbc61a227 · outbound

This paper cites Optimal Transport for Applied Mathematicians.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Optimal Transport for Applied Mathematicians

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.233582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1dde1e42-69aa-4cf5-8b29-7fb8f2ea5588 · outbound

This paper cites On approximating $\nabla f$ with neural networks.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors On approximating $\nabla f$ with neural networks

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-06-30T11:04:37.634221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5af83189-9a8e-4694-9ac3-fba5e2e5586a · outbound

This paper cites Deep unsuper- vised learning using nonequilibrium thermodynamics.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Deep unsuper- vised learning using nonequilibrium thermodynamics

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.253764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8b78153f-2688-40ca-8414-e7f697c41aca · outbound

This paper cites Maximum likelihood training of score-based diffusion models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Maximum likelihood training of score-based diffusion models

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.297370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 297f36a2-132d-4ead-9fa0-ab93f7f00249 · outbound

This paper cites Generative modeling by estimating gradients of the data distribution.Advances in Neural Information Processing Systems, 32.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Generative modeling by estimating gradients of the data distribution.Advances in Neural Information Processing Systems, 32

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.299411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e40a9dee-0b40-4bb0-a4ba-ef763d2fc892 · outbound

This paper cites Sliced score matching: A scalable approach to density and score estimation.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Sliced score matching: A scalable approach to density and score estimation

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.304464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 255d9260-e06b-43bf-9eee-a1064efc82c9 · outbound

This paper cites Score-based generative modeling through stochastic differential equations.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Score-based generative modeling through stochastic differential equations

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.282727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 68b0a068-7cec-45d3-892f-695e3feccc75 · outbound

This paper cites Stroock and S.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Stroock and S

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.292111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6d23b2c0-d49a-4274-8dd5-f33d01fffb27 · outbound

This paper cites Efficient diffusion training via min-snr weighting strategy.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Efficient diffusion training via min-snr weighting strategy

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.299098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 67324f7d-c6d3-4198-854b-765e975f5a6e · outbound

This paper cites Learning flow distributions via projection- constrained diffusion on manifolds, 2026.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Learning flow distributions via projection- constrained diffusion on manifolds, 2026

Reference 69

Resolution: verified exact; arxiv_id, observed 2026-06-30T11:04:37.631623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9e2b839f-ad5b-4dcc-8ad0-79cefd2a4031 · outbound

This paper cites Attention is all you need.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Attention is all you need

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.272077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 74b334fd-c1f1-456d-a82d-a02948fb939a · outbound

This paper cites Springer, 2009.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Springer, 2009

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.265227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 52ca9e89-4315-4d1b-a768-a98ab5b5f478 · outbound

This paper cites A connection between score matching and denoising autoencoders.Neural Computation, 23(7):1661–1674.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors A connection between score matching and denoising autoencoders.Neural Computation, 23(7):1661–1674

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.267064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 87295fd5-e7be-4c13-8954-039d16c818c8 · outbound

This paper cites Santos, and Yen Ting Lin.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Santos, and Yen Ting Lin

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.268635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a24607b6-5ab2-417b-969f-c987a1e7015c · outbound

This paper cites An analytical theory of spectral bias in the learning dynamics of diffusion models.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors An analytical theory of spectral bias in the learning dynamics of diffusion models

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.263652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1ba3e30-f590-48e4-9d84-575ebf7731bb · outbound

This paper cites Optimal score estimation via empirical Bayes smoothing.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Optimal score estimation via empirical Bayes smoothing

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.281754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d5f43d5f-eda3-46ed-8837-8dd8866bf157 · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 76

Resolution: verified exact; local_arxiv, observed 2026-06-30T11:04:37.636707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f94c8c50-6f3f-4dbe-8877-628b4fd4f777 · outbound

This paper cites Yin, Feng Liang, and Jingbo Liu.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Yin, Feng Liang, and Jingbo Liu

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.259831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 227dc8c5-82af-4ec3-b6ca-1ae9c126036d · outbound

This paper cites Z T t0 σs es ·d ¯BP⋆ s # + 1 2 EP⋆.

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors Z T t0 σs es ·d ¯BP⋆ s # + 1 2 EP⋆

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T12:06:14.257884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Reference resolution

Outbound references

Pith citing papers