Paper Citation Record · LEDGER

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization

As of 11 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2501.14635.

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

pith.paper-citation-record.v1
2501.14635 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:01:02.823324Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

verified exact0
verified fuzzy32
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 424ec715-1151-4edf-a109-8e20bee15f2c · outbound

This paper cites and Carlier, G.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Carlier, G

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.677843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 813da0ae-ce57-4057-b713-a888a704d852 · outbound

This paper cites C., Del Barrio, E., Cuesta-Albertos, J., and Matr \'a n, C.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization C., Del Barrio, E., Cuesta-Albertos, J., and Matr \'a n, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.287213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ea1ffe47-4be0-4850-955e-5b93d4dacbea · outbound

This paper cites Gradient flows: in metric spaces and in the space of probability measures.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Gradient flows: in metric spaces and in the space of probability measures

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.277833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a7c838e5-6e28-4ef6-852b-4a43c7d7276f · outbound

This paper cites and Rosenthal, J.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Rosenthal, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.269072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4789536c-b3f1-4fb0-9e9c-b424888a1ba2 · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:03.260611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 25a603c3-fb16-404f-b3ac-c1d010b16b4e · outbound

This paper cites and Rapaport, A.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Rapaport, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.252018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 206db39b-df4b-4bb3-a9fd-86fba4eb74f6 · outbound

This paper cites and Castanon, D.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Castanon, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.243774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1a6051cc-3960-4979-a281-05116065f068 · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:03.234473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1b8a1687-8097-43e7-acb1-c9960f4c811c · outbound

This paper cites Penalization of barycenters in the W asserstein space.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Penalization of barycenters in the W asserstein space

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.224736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ac5b43e1-5ce5-446c-9564-a8796ee5012c · outbound

This paper cites On the linear convergence of the multimarginal S inkhorn algorithm.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization On the linear convergence of the multimarginal S inkhorn algorithm

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.214439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f87d0fd2-c8c5-46bd-9b58-fccf96857e85 · outbound

This paper cites Numerical methods for matching for teams and wasserstein barycenters.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Numerical methods for matching for teams and wasserstein barycenters

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.204100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1867dbd9-681b-4526-b68b-5bb4dd5cdb44 · outbound

This paper cites Entropic- W asserstein barycenters: PDE characterization, regularity, and CLT.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Entropic- W asserstein barycenters: PDE characterization, regularity, and CLT

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.193428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6d55b186-e98c-44af-a443-f31506625aeb · outbound

This paper cites Wasserstein regression.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Wasserstein regression

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.182253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1a40ca8e-6ed2-4907-8992-bb01745c0c58 · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:03.171367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3e783ce2-c38c-4015-8ba3-93b98202befc · outbound

This paper cites Doubly Regularized Entropic Wasserstein Barycenters.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Doubly Regularized Entropic Wasserstein Barycenters

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.722469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e9d549f-5fc1-455f-9b91-633811a731ed · outbound

This paper cites Fast L egendre-- F enchel transform and applications to H amilton-- J acobi equations and conservation laws.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Fast L egendre-- F enchel transform and applications to H amilton-- J acobi equations and conservation laws

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.161086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c663ecbd-079b-4682-9c79-e375f0b0359e · outbound

This paper cites and Doucet, A.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Doucet, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.150908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 78b35470-904e-4124-9fee-e803225e4125 · outbound

This paper cites and M \"u ller, H.-G.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and M \"u ller, H.-G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.141379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 083284f9-95d7-4435-9f24-0dbb5092b3e9 · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.736501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cf8663d-b415-492a-8ae8-cce0f6c46db1 · outbound

This paper cites Z., Boisbunon, A., Chambon, S., Chapel, L., Corenflos, A., Fatras, K., Fournier, N., Gautheron, L., Gayraud, N.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Z., Boisbunon, A., Chambon, S., Chapel, L., Corenflos, A., Fatras, K., Fournier, N., Gautheron, L., Gayraud, N

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.125738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3225acf8-599b-49bf-8ff1-12d5949b4a8e · outbound

This paper cites Fast optimal transport averaging of neuroimaging data.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Fast optimal transport averaging of neuroimaging data

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.116978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 120e440c-1b41-413e-9fed-85d3cac95ac5 · outbound

This paper cites and Rigollet, P.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Rigollet, P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.108335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 449f4d16-c308-46be-b83a-b9049961ddd5 · outbound

This paper cites and L \'e ger, F.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and L \'e ger, F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.099083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f09f3be3-92f8-465e-9bd0-865971e06c34 · outbound

This paper cites Debiased S inkhorn barycenters.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Debiased S inkhorn barycenters

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.088511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c1bebc46-455a-4284-9939-aa891d8aed0e · outbound

This paper cites Two-sample and change-point inference for non-euclidean valued time series.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Two-sample and change-point inference for non-euclidean valued time series

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.078008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eecb2b84-8686-4b0e-b178-cd412b6d86d1 · outbound

This paper cites Continuous wasserstein-2 barycenter estimation without minimax optimization.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Continuous wasserstein-2 barycenter estimation without minimax optimization

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.066819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ba738b7d-9d98-4112-9d36-455796ec0d31 · outbound

This paper cites Wasserstein iterative networks for barycenter estimation.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Wasserstein iterative networks for barycenter estimation

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.056551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 57590190-5b7e-44a6-8b9a-965357cef307 · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:03.044908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dbbb1b2b-06de-4029-bb80-b42c8f09048c · outbound

This paper cites Continuous regularized W asserstein barycenters.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Continuous regularized W asserstein barycenters

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.032791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7066bbff-25a3-4cd9-9354-55b07109e12d · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:03.021847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5cbd6544-5c40-47e4-bfeb-94a33149423e · outbound

This paper cites On gradient descent ascent for nonconvex-concave minimax problems.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization On gradient descent ascent for nonconvex-concave minimax problems

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:03.011931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e3ff4e5f-b84b-4e84-adb9-48b0eca4385c · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:03.002325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eb9bcbdc-47a3-4336-90f9-bd5e0c772572 · outbound

This paper cites an unresolved cited work.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:01:02.992943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9c74a800-f7da-40c0-9d01-1040fa6090ae · outbound

This paper cites Plugin estimation of smooth optimal transport maps.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Plugin estimation of smooth optimal transport maps

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.782851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bdba989-0916-4d97-80a4-398aca852ee0 · outbound

This paper cites and Pegon, P.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Pegon, P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.977626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e6bed3bb-f084-4a6d-8255-0f8c1713d7b8 · outbound

This paper cites Regularity as regularization: Smooth and strongly convex brenier potentials in optimal transport.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Regularity as regularization: Smooth and strongly convex brenier potentials in optimal transport

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.968460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8747fda8-16f2-4516-981a-c0f1a8c2fa25 · outbound

This paper cites and Cuturi, M.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Cuturi, M

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.791754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b10247b3-480a-477d-91e6-ece62ebc25de · outbound

This paper cites Wasserstein barycenter and its application to texture mixing.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Wasserstein barycenter and its application to texture mixing

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.953528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 101dbf7a-ed60-4b1a-afea-7849ee404b4d · outbound

This paper cites Optimal transport for applied mathematicians.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Optimal transport for applied mathematicians

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.797852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec20c460-7bc1-4d89-95aa-ca2020264f33 · outbound

This paper cites Smooth strongly convex regression.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Smooth strongly convex regression

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.937139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f255bcf5-8740-425c-b616-af483f35485c · outbound

This paper cites Convolutional W asserstein distances: Efficient optimal transportation on geometric domains.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Convolutional W asserstein distances: Efficient optimal transportation on geometric domains

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.925817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ead26118-6969-4838-a613-37de3d5fa08e · outbound

This paper cites and Panaretos, V.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Panaretos, V

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.915508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c2b59f49-4c67-4a35-8703-a857319625ed · outbound

This paper cites Wasserstein autoregressive models for density time series.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Wasserstein autoregressive models for density time series

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.905258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 865b0472-eace-4dc3-9336-5b202ebb3933 · outbound

This paper cites Geodesic Optimal Transport Regression.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Geodesic Optimal Transport Regression

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.812917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbf60cae-b964-4762-a1a8-bbc7550bc01e · outbound

This paper cites and Müller, H.-G.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization and Müller, H.-G

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.894523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1a97fa0b-2e0c-42b5-9414-c38e13323a89 · outbound

This paper cites Wasserstein k -means for clustering probability distributions.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization Wasserstein k -means for clustering probability distributions

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:01:02.883569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5c58228b-92e3-4126-86bd-3f7ab8f8f272 · outbound

This paper cites write newline.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization write newline

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-10T15:01:02.823324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.