Paper Citation Record · LEDGER

Efficient Diffusion Models for Symmetric Manifolds

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2505.21640.

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pith.paper-citation-record.v1
2505.21640 v1

Coverage vector

measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T13:44:03.911033Z

measured 39 of 39 standing notices

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation 1ae55027-cd3a-42d2-9e53-00fee0e117bd · outbound

This paper cites Reverse-time diffusion equation models.Stochastic Processes and their Applications, 12(3):313–326, 1982.

Efficient Diffusion Models for Symmetric Manifolds Reverse-time diffusion equation models.Stochastic Processes and their Applications, 12(3):313–326, 1982

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:57.860246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4d4711d-9cdb-4627-b926-482de565e5f2 · outbound

This paper cites Number 118.

Efficient Diffusion Models for Symmetric Manifolds Number 118

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:09.791325Z

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Observation 0e757c17-270b-418d-98a8-e721a9e75ebc · outbound

This paper cites Springer, 2014.

Efficient Diffusion Models for Symmetric Manifolds Springer, 2014

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:09.602584Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e109d28f-3b30-4091-b452-5663fcbd6f4c · outbound

This paper cites Matching normalizing flows and probability paths on manifolds.

Efficient Diffusion Models for Symmetric Manifolds Matching normalizing flows and probability paths on manifolds

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:09.434006Z

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Observation f4b8704c-7bd2-4730-8951-d053ce393ffb · outbound

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

Efficient Diffusion Models for Symmetric Manifolds Nearly d-linear convergence bounds for diffusion models via stochastic localization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:09.230386Z

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Observation a9d885ad-4094-4cc4-8e0a-ff0536daffc7 · outbound

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

Efficient Diffusion Models for Symmetric Manifolds Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:09.027176Z

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Observation 76748c23-5fe1-4b3f-9972-7961acdff307 · outbound

This paper cites Flow matching on general geometries.

Efficient Diffusion Models for Symmetric Manifolds Flow matching on general geometries

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:08.828214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65ff51bc-62fa-4b27-8434-2ca8c7773960 · outbound

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

Efficient Diffusion Models for Symmetric Manifolds Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:58.942482Z

Source-reported events for the cited work

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Observation bee96693-fa82-4bb2-a29a-25e70ad7896b · outbound

This paper cites Theory and Algorithms for Diffusion Processes on Riemannian Manifolds.

Efficient Diffusion Models for Symmetric Manifolds Theory and Algorithms for Diffusion Processes on Riemannian Manifolds

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:59.104595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab5f4e32-5c4b-4ae7-8416-0229890f3c00 · outbound

This paper cites Molecular design in drug discovery: a comprehensive review of deep generative models.Briefings in bioinformatics, 22(6):bbab344, 2021.

Efficient Diffusion Models for Symmetric Manifolds Molecular design in drug discovery: a comprehensive review of deep generative models.Briefings in bioinformatics, 22(6):bbab344, 2021

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:59.242783Z

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Observation 46c80ffd-8215-424b-b543-81a33351443c · outbound

This paper cites Advances in machine-learning-based sampling motivated by lattice quantum chromody- namics.Nature Reviews Physics, 5(9):526–535, 2023.

Efficient Diffusion Models for Symmetric Manifolds Advances in machine-learning-based sampling motivated by lattice quantum chromody- namics.Nature Reviews Physics, 5(9):526–535, 2023

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:08.671944Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76c0fa06-96c5-40d5-a345-706d4effbc2e · outbound

This paper cites Riemannian score-based generative modelling.Advances in Neural In- formation Processing Systems, 35:2406–2422, 2022.

Efficient Diffusion Models for Symmetric Manifolds Riemannian score-based generative modelling.Advances in Neural In- formation Processing Systems, 35:2406–2422, 2022

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:08.487937Z

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Observation af96fef4-ed0b-4850-935b-3ed3c662e24a · outbound

This paper cites A Brownian-motion model for the eigenvalues of a random matrix.Journal of Mathematical Physics, 3(6):1191–1198, 1962.

Efficient Diffusion Models for Symmetric Manifolds A Brownian-motion model for the eigenvalues of a random matrix.Journal of Mathematical Physics, 3(6):1191–1198, 1962

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:08.320529Z

Source-reported events for the cited work

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Observation 832007c8-02dc-47f5-aa00-ad8e67e54948 · outbound

This paper cites Rigid motion estimation using mixtures of projected Gaussians.

Efficient Diffusion Models for Symmetric Manifolds Rigid motion estimation using mixtures of projected Gaussians

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:08.129033Z

Source-reported events for the cited work

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Observation f83808e1-25b7-410c-b417-53c9fecfbbe7 · outbound

This paper cites Note on the derivatives with respect to a parameter of the solutions of a system of differential equations.Annals of Mathematics, pages 292–296, 1919.

Efficient Diffusion Models for Symmetric Manifolds Note on the derivatives with respect to a parameter of the solutions of a system of differential equations.Annals of Mathematics, pages 292–296, 1919

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:07.969603Z

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Observation db2e9554-4c8b-4b64-8568-4f8eeccc13df · outbound

This paper cites Denoising diffusion probabilistic models.Advances in neural information processing systems, 33:6840–6851, 2020.

Efficient Diffusion Models for Symmetric Manifolds Denoising diffusion probabilistic models.Advances in neural information processing systems, 33:6840–6851, 2020

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T13:44:00.144755Z

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Observation f5fc8f31-f52a-46f5-b9f4-e3023c26bba2 · outbound

This paper cites Number 38.

Efficient Diffusion Models for Symmetric Manifolds Number 38

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T13:44:00.272737Z

Source-reported events for the cited work

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Observation 53a0ef6b-998b-4df8-8dd0-dad936d6ff80 · outbound

This paper cites Riemannian diffusion models.Advances in Neural Information Processing Systems, 35:2750– 2761, 2022.

Efficient Diffusion Models for Symmetric Manifolds Riemannian diffusion models.Advances in Neural Information Processing Systems, 35:2750– 2761, 2022

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T13:44:00.437004Z

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Observation 29359379-4326-4ee4-87ae-48b6cb4b15b5 · outbound

This paper cites Torsional diffusion for molecular conformer generation.Advances in neural information processing sys- tems, 35:24240–24253, 2022.

Efficient Diffusion Models for Symmetric Manifolds Torsional diffusion for molecular conformer generation.Advances in neural information processing sys- tems, 35:24240–24253, 2022

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:07.806759Z

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Observation cf014147-d77d-4a88-bf9b-11cdb5d21d9f · outbound

This paper cites Generative modeling on manifolds through mixture of Riemannian diffusion processes.

Efficient Diffusion Models for Symmetric Manifolds Generative modeling on manifolds through mixture of Riemannian diffusion processes

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:07.635580Z

Source-reported events for the cited work

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Observation 484b0542-91d0-4b79-bb2f-0f163b3d7ed9 · outbound

This paper cites Denoising diffusion probabilistic models on SO(3) for rotational alignment.

Efficient Diffusion Models for Symmetric Manifolds Denoising diffusion probabilistic models on SO(3) for rotational alignment

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:07.443908Z

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Observation 4e2cb55e-589e-442f-88e6-61bba365c380 · outbound

This paper cites Revisiting classifier two-sample tests.

Efficient Diffusion Models for Symmetric Manifolds Revisiting classifier two-sample tests

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:07.274510Z

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Observation 8cce1b2e-1841-48fa-8288-3ed4078a7761 · outbound

This paper cites Scaling Riemannian diffusion models.Advances in Neural Information Processing Systems, 36, 2024.

Efficient Diffusion Models for Symmetric Manifolds Scaling Riemannian diffusion models.Advances in Neural Information Processing Systems, 36, 2024

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:07.041965Z

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Observation 610e74b5-c94f-4542-b6af-34cb7fb4bc5a · outbound

This paper cites Private covariance approximation and eigenvalue- gap bounds for complex Gaussian perturbations.

Efficient Diffusion Models for Symmetric Manifolds Private covariance approximation and eigenvalue- gap bounds for complex Gaussian perturbations

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:06.863828Z

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Observation 613dd346-59ab-46d3-958c-51e4d618cc87 · outbound

This paper cites Private low-rank approximation for covariance matri- ces, Dyson Brownian motion, and eigenvalue-gap bounds for Gaussian perturbations.Journal of the ACM, 72(2):1–88, 2025.

Efficient Diffusion Models for Symmetric Manifolds Private low-rank approximation for covariance matri- ces, Dyson Brownian motion, and eigenvalue-gap bounds for Gaussian perturbations.Journal of the ACM, 72(2):1–88, 2025

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:06.671959Z

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Observation fb86ebe1-0fd0-432c-95fd-b64a29227ebc · outbound

This paper cites Mathieu and M.

Efficient Diffusion Models for Symmetric Manifolds Mathieu and M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:06.441127Z

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Observation a04ce76f-4420-49d9-ab31-18b6195d2e26 · outbound

This paper cites The imbedding problem for Riemannian manifolds.Annals of mathematics, 63(1):20–63, 1956.

Efficient Diffusion Models for Symmetric Manifolds The imbedding problem for Riemannian manifolds.Annals of mathematics, 63(1):20–63, 1956

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:06.259749Z

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Observation 625b31c7-f250-4a0f-8143-6961f54b1984 · outbound

This paper cites Video generation models as world simulators, 2023.

Efficient Diffusion Models for Symmetric Manifolds Video generation models as world simulators, 2023

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:06.003870Z

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Observation 0fca8b96-1806-4b33-87e1-5ad63155e905 · outbound

This paper cites Springer, 2006.

Efficient Diffusion Models for Symmetric Manifolds Springer, 2006

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T13:44:01.847874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e695be33-53b9-493f-bb77-1f0a5d7f1aa1 · outbound

This paper cites A contribution to differential geometry in the large.Annals of Mathe- matics, 54(1):38–55, 1951.

Efficient Diffusion Models for Symmetric Manifolds A contribution to differential geometry in the large.Annals of Mathe- matics, 54(1):38–55, 1951

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:05.844489Z

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Observation 2a2ea6d9-f441-4c2e-8a61-a35500217514 · outbound

This paper cites High-resolution image synthesis with latent diffusion models.

Efficient Diffusion Models for Symmetric Manifolds High-resolution image synthesis with latent diffusion models

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:05.569623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 70f42541-c061-4fa4-b92e-6fc3c7d003fb · outbound

This paper cites Moser flow: Divergence- based generative modeling on manifolds.Advances in Neural Information Processing Systems, 34:17669–17680, 2021.

Efficient Diffusion Models for Symmetric Manifolds Moser flow: Divergence- based generative modeling on manifolds.Advances in Neural Information Processing Systems, 34:17669–17680, 2021

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:05.377232Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b24c71e6-db5a-43b8-8934-81f9fa74b6c0 · outbound

This paper cites Hanson-Wright inequality and sub-Gaussian concen- tration.Electronic Communications in Probability, 8(82):1–9, 2013.

Efficient Diffusion Models for Symmetric Manifolds Hanson-Wright inequality and sub-Gaussian concen- tration.Electronic Communications in Probability, 8(82):1–9, 2013

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:05.212351Z

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Observation 817e2306-e991-4704-b8fc-701f7a1c06e2 · outbound

This paper cites Geodesic Convex Optimization: Differentiation on Manifolds, Geodesics, and Convexity.

Efficient Diffusion Models for Symmetric Manifolds Geodesic Convex Optimization: Differentiation on Manifolds, Geodesics, and Convexity

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:44:04.361351Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e31bde57-3ec6-4081-8dc9-43be4087f846 · outbound

This paper cites De novo design of protein structure and function with rfdiffusion.Nature, 620(7976):1089–1100, 2023.

Efficient Diffusion Models for Symmetric Manifolds De novo design of protein structure and function with rfdiffusion.Nature, 620(7976):1089–1100, 2023

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T13:44:03.080283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5bd4753-0cac-4c36-8e59-063c6d1c908c · outbound

This paper cites Se (3) diffusion model with application to protein backbone generation.

Efficient Diffusion Models for Symmetric Manifolds Se (3) diffusion model with application to protein backbone generation

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T13:44:03.252769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4c707bb-fba3-4292-80e9-6067f5a42841 · outbound

This paper cites Triv- ialized momentum facilitates diffusion generative modeling on Lie groups.

Efficient Diffusion Models for Symmetric Manifolds Triv- ialized momentum facilitates diffusion generative modeling on Lie groups

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:05.044488Z

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Observation 559850a0-a0cd-45e6-a0aa-8c33026d89a1 · outbound

This paper cites an unresolved cited work.

Efficient Diffusion Models for Symmetric Manifolds Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:44:04.851558Z

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Observation 71378fe8-ea12-4122-a494-29670f875f79 · outbound

This paper cites smooth out.

Efficient Diffusion Models for Symmetric Manifolds smooth out

Reference 39

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:44:04.737991Z

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