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Paper Citation Record · LEDGER

Wasserstein gradient flows for Coulomb discrepancies

As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2607.12579.

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pith.paper-citation-record.v1
2607.12579 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:36:09.404340Z

measured 37 of 37 standing notices

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:26.299958Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:16:14.067578Z

Reference resolution

36 of 36 outbound references displayed

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Outbound references

Observation 9c2ae9e8-c4b0-4b5d-a15a-dbdad6aab809 · outbound

This paper cites Uniqueness of signed measures solving the continuity equation for O sgood vector fields.

Wasserstein gradient flows for Coulomb discrepancies Uniqueness of signed measures solving the continuity equation for O sgood vector fields

Reference 1

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source=arxiv_source observed=2026-08-02T06:36:05.732671Z digest=sha256:94721e2f8b381180b4e193a7841009c2e3ae9c93b8c44e18ab5ae22b38670cce

Observation cc27a368-8929-4631-90d1-70a0e5ff3c32 · outbound

This paper cites Functions of Bounded Variation and Free Discontinuity Problems.

Wasserstein gradient flows for Coulomb discrepancies Functions of Bounded Variation and Free Discontinuity Problems

Reference 2

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source=arxiv_source observed=2026-08-02T06:36:05.945464Z digest=sha256:fc4905d0bcb77be3ffe68a6b1dd0474561e6ee7d2d60ec5c76f592bbb9e57bb9

Observation 16588718-bf51-4127-b2de-881a2b59e63f · outbound

This paper cites u rich. Birkh \.

Wasserstein gradient flows for Coulomb discrepancies u rich. Birkh \

Reference 3

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source=arxiv_source observed=2026-08-02T06:36:06.139893Z digest=sha256:7c506cbf9b08cee26248865c1927cc71d612ca8cd19b651c070c65e30a010863

Observation 83ba6d75-61e0-484d-9948-ceba05f4d3a9 · outbound

This paper cites Neural Wasserstein gradient flows for discrepancies with R iesz kernels.

Wasserstein gradient flows for Coulomb discrepancies Neural Wasserstein gradient flows for discrepancies with R iesz kernels

Reference 4

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source=arxiv_source observed=2026-08-02T06:36:06.276891Z digest=sha256:50222bf420ccff1da543a01e0250b77265f061d3ab780478dfe5a5f00a5e19af

Observation f2d0b995-f521-4c42-8695-6f6a26d8ba2e · outbound

This paper cites Maximum Mean Discrepancy gradient flow.

Wasserstein gradient flows for Coulomb discrepancies Maximum Mean Discrepancy gradient flow

Reference 5

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source=arxiv_source observed=2026-08-02T06:36:06.416512Z digest=sha256:ce7bfd456650bce1eeeada1d7afdbc214936b7a5bc7a5d41f5470dbd81163189

Observation 23ef9592-61cb-44d9-81a4-2fcfc2df0472 · outbound

This paper cites Ponce, and R \'e my Rodiac.

Wasserstein gradient flows for Coulomb discrepancies Ponce, and R \'e my Rodiac

Reference 6

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source=arxiv_source observed=2026-08-02T06:36:06.633095Z digest=sha256:fad2d53d313141d972c2147ec7990487748faec9bde24558770bd016052a38ae

Observation 7db4421f-af3d-4a5a-b619-1eaf212ea591 · outbound

This paper cites Bertozzi, Thomas Laurent, and Flavien L \'e ger.

Wasserstein gradient flows for Coulomb discrepancies Bertozzi, Thomas Laurent, and Flavien L \'e ger

Reference 7

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source=arxiv_source observed=2026-08-02T06:36:06.748810Z digest=sha256:b93f75b869f33e380345f5b0ba677e96cd3ae2b2a25bb602288d83baefe81c7b

Observation 7560d0ce-b09c-4780-a378-8bfe68add34c · outbound

This paper cites On the global convergence of Wasserstein gradient flow of the C oulomb discrepancy.

Wasserstein gradient flows for Coulomb discrepancies On the global convergence of Wasserstein gradient flow of the C oulomb discrepancy

Reference 8

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source=arxiv_source observed=2026-08-02T06:36:06.862157Z digest=sha256:c1d08fda9fa385caba2f6c88f9f5b430a7d5962b153e51da41a06e2d0e80c30e

Observation ae4303b2-a032-4707-915d-e13c218d5ba3 · outbound

This paper cites On the global convergence of gradient descent for over-parameterized models using optimal transport.

Wasserstein gradient flows for Coulomb discrepancies On the global convergence of gradient descent for over-parameterized models using optimal transport

Reference 9

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Observation dd9df414-2a99-4cab-9a93-8026ced1e443 · outbound

This paper cites Quantitative convergence of Wasserstein gradient flows of Kernel Mean Discrepancies , 2026.

Wasserstein gradient flows for Coulomb discrepancies Quantitative convergence of Wasserstein gradient flows of Kernel Mean Discrepancies , 2026

Reference 10

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source=arxiv_source observed=2026-08-02T06:36:07.096917Z digest=sha256:35376854e96edefd886eacff11040df6d4d970a20148fb0bbde593707754377a

Observation 6e70fa24-5886-4014-947a-5ef9af995af3 · outbound

This paper cites Propagation of chaos: A review of models, methods and applications.

Wasserstein gradient flows for Coulomb discrepancies Propagation of chaos: A review of models, methods and applications

Reference 11

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Observation e1cfd6a6-8907-4aea-8058-6bd82c723892 · outbound

This paper cites The gradient flows of sub- Coulomb Riesz energies.

Wasserstein gradient flows for Coulomb discrepancies The gradient flows of sub- Coulomb Riesz energies

Reference 12

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source=arxiv_source observed=2026-08-02T06:36:07.285375Z digest=sha256:b3d676ce394a84b70393091dfa725125aa89f8c73c74dcffbd90daa9a8618d27

Observation 2116e2b3-416e-42c1-b43f-23b10b8e0f96 · outbound

This paper cites Sharp uniform-in-time mean-field convergence for singular periodic R iesz flows.

Wasserstein gradient flows for Coulomb discrepancies Sharp uniform-in-time mean-field convergence for singular periodic R iesz flows

Reference 13

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Observation 030460d8-58f8-487d-be2a-e673ee310019 · outbound

This paper cites Sharp Rates of MMD Empirical Estimation with Power Kernels.

Wasserstein gradient flows for Coulomb discrepancies Sharp Rates of MMD Empirical Estimation with Power Kernels

Reference 14

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source=arxiv_source observed=2026-08-02T06:36:07.434801Z digest=sha256:2fe6f587133804255342b7d01d0de3ed56ec48c1f4e3b516e4a5093a89859521

Observation d3158b29-b6dd-4ce6-95ce-ae909be5a17f · outbound

This paper cites Carrillo, Rishabh S.

Wasserstein gradient flows for Coulomb discrepancies Carrillo, Rishabh S

Reference 15

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source=arxiv_source observed=2026-08-02T06:36:07.478627Z digest=sha256:d9854405990abb799edf33d1a25f4860cc9aa1cd493b89ef98006cc98d976ec4

Observation b0936f92-feb2-4fbd-aa79-f5c120b418ca · outbound

This paper cites Generative Modeling via Drifting.

Wasserstein gradient flows for Coulomb discrepancies Generative Modeling via Drifting

Reference 16

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source=arxiv_source observed=2026-08-02T06:36:07.618674Z digest=sha256:89696d4484f972c483702168b2b5f6f75f31dc0807bb204cd1ce9ab0586380c0

Observation 7e81707a-a155-41ca-bcef-6cb697c76ef2 · outbound

This paper cites Wasserstein gradient flows of MMD functionals with distance kernel and Cauchy problems on quantile functions.

Wasserstein gradient flows for Coulomb discrepancies Wasserstein gradient flows of MMD functionals with distance kernel and Cauchy problems on quantile functions

Reference 17

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source=arxiv_source observed=2026-08-02T06:36:07.747579Z digest=sha256:4dbf95a3440e64afb4dab5cb0e8e7b82c2142cbcdbe94c848f9760c9c95006f1

Observation 7f2d5bf5-f42e-4812-97b6-987f7cca1e54 · outbound

This paper cites Evans and Ronald F.

Wasserstein gradient flows for Coulomb discrepancies Evans and Ronald F

Reference 18

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Observation ea39f897-c059-49a2-b377-7fdb869b75fa · outbound

This paper cites An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows.

Wasserstein gradient flows for Coulomb discrepancies An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows

Reference 19

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Observation ba5920b0-d24f-4a18-92a2-6a0fcabe4517 · outbound

This paper cites Borgwardt, Malte J.

Wasserstein gradient flows for Coulomb discrepancies Borgwardt, Malte J

Reference 20

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Observation 5411174e-fca6-4c0c-a3e5-46158bc5e3a8 · outbound

This paper cites Foundations of Quantization for Probability Distributions , volume 1730 of Lecture Notes in Mathematics.

Wasserstein gradient flows for Coulomb discrepancies Foundations of Quantization for Probability Distributions , volume 1730 of Lecture Notes in Mathematics

Reference 21

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Observation 1c5936e8-e843-4610-97d7-fb872864acc5 · outbound

This paper cites Mean-Field Limits in Statistical Dynamics.

Wasserstein gradient flows for Coulomb discrepancies Mean-Field Limits in Statistical Dynamics

Reference 22

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Observation 6248f0cc-dd92-438c-a84f-8e50ca10c258 · outbound

This paper cites On the Wasserstein Gradient Flow Interpretation of Drifting Models.

Wasserstein gradient flows for Coulomb discrepancies On the Wasserstein Gradient Flow Interpretation of Drifting Models

Reference 23

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source=arxiv_source observed=2026-08-02T06:36:08.400452Z digest=sha256:47d54ca111f786ae675d1c388e31974d0cf142270242fed32fffe52d0b7fd6bb

Observation 76bd64c6-7c8e-4a95-8286-b2deacda3bfe · outbound

This paper cites Optimal quantization for Riesz MMDs.

Wasserstein gradient flows for Coulomb discrepancies Optimal quantization for Riesz MMDs

Reference 24

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Observation aa939d5f-6d47-4375-b188-2139a1ee0055 · outbound

This paper cites Wasserstein steepest descent flows of discrepancies with R iesz kernels.

Wasserstein gradient flows for Coulomb discrepancies Wasserstein steepest descent flows of discrepancies with R iesz kernels

Reference 25

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source=arxiv_source observed=2026-08-02T06:36:08.593709Z digest=sha256:b33080cbdde1f5f85fa64955470f01ca762b0dc9d272ee2fd842e9e9e82dd6fb

Observation b757f3da-abb1-4a4f-b88c-5e243a1dc76f · outbound

This paper cites One-Step Generative Modeling via Wasserstein Gradient Flows.

Wasserstein gradient flows for Coulomb discrepancies One-Step Generative Modeling via Wasserstein Gradient Flows

Reference 26

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source=arxiv_source observed=2026-08-02T06:36:08.722573Z digest=sha256:08c6f2ba2f666a2af99510bd0fd7f3157d3d871b026428acb8223a080ce763a8

Observation b00196ec-21b8-4eaa-b4e7-86d1030e6816 · outbound

This paper cites On the hydrodynamic limit of Ginzburg-Landau vortices.

Wasserstein gradient flows for Coulomb discrepancies On the hydrodynamic limit of Ginzburg-Landau vortices

Reference 27

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source=arxiv_source observed=2026-08-02T06:36:08.805443Z digest=sha256:dda6e6cfc52f06fa3672b70ef182c437ec5f4cc4828d93ebb2d8e0932a5222ae

Observation 122b8ef2-6388-4506-96f8-2eb3d1b66e93 · outbound

This paper cites A mean field view of the landscape of two-layer neural networks.

Wasserstein gradient flows for Coulomb discrepancies A mean field view of the landscape of two-layer neural networks

Reference 28

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source=arxiv_source observed=2026-08-02T06:36:08.924122Z digest=sha256:f98cc5116a77ea0cfc8bd4d1b3cc320ba20fc234a3e53c7c4d3a8b5e25e76a50

Observation 3a470d4d-21f2-4371-95ee-91eaaf140a36 · outbound

This paper cites Diffeomorphic measure matching with kernels for generative modeling.

Wasserstein gradient flows for Coulomb discrepancies Diffeomorphic measure matching with kernels for generative modeling

Reference 29

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source=arxiv_source observed=2026-08-02T06:36:08.972746Z digest=sha256:080de1be8f13fb9330efa8bffcffd7ff13ef8afb50684cc98c2fbb40f5275e72

Observation 91dea37b-c219-4ea8-b69b-3ad11095fe4b · outbound

This paper cites Sharp commutator estimates of all order for C oulomb and R iesz modulated energies.

Wasserstein gradient flows for Coulomb discrepancies Sharp commutator estimates of all order for C oulomb and R iesz modulated energies

Reference 30

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source=arxiv_source observed=2026-08-02T06:36:09.019178Z digest=sha256:a2537c8e7946a7a9f302e1a382f41a71a744404c5b1e5dc092d3d405059dab2a

Observation eaba6b18-7238-47a0-9e87-d05d525212c9 · outbound

This paper cites Wasserstein gradient flow of Maximum Mean Discrepancy with energy kernels.

Wasserstein gradient flows for Coulomb discrepancies Wasserstein gradient flow of Maximum Mean Discrepancy with energy kernels

Reference 31

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source=arxiv_source observed=2026-08-02T06:36:09.101652Z digest=sha256:3e53ed4a2a34d4b1aade58bfe8069fa1983756eb1b884b1d215c13f1204c448e

Observation e0d4f2e7-d5fa-496e-b347-c6f472727f9c · outbound

This paper cites Optimal Transport for Applied Mathematicians.

Wasserstein gradient flows for Coulomb discrepancies Optimal Transport for Applied Mathematicians

Reference 32

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source=arxiv_source observed=2026-08-02T06:36:09.158093Z digest=sha256:730d4592809c0112cb8e646315785c596b2114d72a0caedf462b0c4ddb4b7367

Observation dc2a7668-2f73-40e0-97bc-1f41f88f30da · outbound

This paper cites Lectures on Coulomb and Riesz gases.

Wasserstein gradient flows for Coulomb discrepancies Lectures on Coulomb and Riesz gases

Reference 33

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source=arxiv_source observed=2026-08-02T06:36:09.204217Z digest=sha256:cb7333bc821e3ba7748f30061bfc83486430b9467754623e11bcd57130951f6f

Observation f8e3e95a-5f00-43ef-9b17-d12254247e1a · outbound

This paper cites Compact sets in the space L^p(0,T;B).

Wasserstein gradient flows for Coulomb discrepancies Compact sets in the space L^p(0,T;B)

Reference 34

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source=arxiv_source observed=2026-08-02T06:36:09.290738Z digest=sha256:33dae9e2405d2a3f0d32ee62ab114abd92949d2c63c471e30c24a383e7dc641d

Observation bd9588ca-99cd-4c31-a93c-687a76da75aa · outbound

This paper cites A mean field equation as limit of nonlinear diffusions with fractional L aplacian operators.

Wasserstein gradient flows for Coulomb discrepancies A mean field equation as limit of nonlinear diffusions with fractional L aplacian operators

Reference 35

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source=arxiv_source observed=2026-08-02T06:36:09.351169Z digest=sha256:a97ccac3aba57d72d65cbe252493a3c4c9495d1084c5c70eb3142dbef8380d05

Observation c8dabe52-fa0b-4f00-b29a-cf11dec5dfd6 · outbound

This paper cites an unresolved cited work.

Wasserstein gradient flows for Coulomb discrepancies Unresolved cited work

Reference 36

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source=arxiv_source observed=2026-08-02T06:36:09.404340Z digest=sha256:f0aee5beb49b533cafb7a85da5ef3e5d23b3413f73d19fe87e0f354027736dd6

Pith citing papers

Observation b3dd6b24-e079-45fd-874f-b53bea07f964 · inbound

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels cites this paper.

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels Wasserstein gradient flows for Coulomb discrepancies

Reference 6

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