Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:11:51.670833Z
Paper Citation Record · LEDGER
The Monge optimal transport barycenter problem
As of 7 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2507.03669.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T14:15:02.832043Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
50 of 50 outbound references displayed
- verified exact1
- verified fuzzy28
- unresolved21
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f6a5b3fe-d2b6-4c2b-af18-00c2531ffe34 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.711831Z
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 f048eb8c-085e-41cb-a825-5f9b53f93062 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.695208Z
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 0b3d33f2-45e7-464c-a2a6-5b485141f0f0 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.679574Z
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 9b45c576-311c-44c3-b376-acadafa9f51d · outbound
This paper cites Optimal transport for applied mathematicians.Birk¨ auser, NY, 55(58-63):94, 2015.
The Monge optimal transport barycenter problem Optimal transport for applied mathematicians.Birk¨ auser, NY, 55(58-63):94, 2015
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:50.543806Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ff73126-7b1d-4774-9502-1b196f86971a · outbound
This paper cites Barycenter in the Wasserstein space.SIAM J.
The Monge optimal transport barycenter problem Barycenter in the Wasserstein space.SIAM J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.639080Z
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 cd4babca-ddf3-4e41-8308-e7f5789d74bf · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.623454Z
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 d90f1c3f-d4cd-4712-bf71-f7450d821258 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.608074Z
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 c59e020e-99ef-4ad7-a7f8-7928f6924af3 · outbound
This paper cites Traversing the schr¨ odinger bridge strait: Robert fortet’s marvelous proof redux.Journal of Optimization Theory and Applications, 181(1):23–60, 2019.
The Monge optimal transport barycenter problem Traversing the schr¨ odinger bridge strait: Robert fortet’s marvelous proof redux.Journal of Optimization Theory and Applications, 181(1):23–60, 2019
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.592919Z
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 5bdb800f-a41e-4cf4-87d6-291be6fe29b4 · outbound
This paper cites A relationship between arbitrary positive matrices and doubly stochastic matrices.The annals of mathematical statistics, 35(2):876–879, 1964.
The Monge optimal transport barycenter problem A relationship between arbitrary positive matrices and doubly stochastic matrices.The annals of mathematical statistics, 35(2):876–879, 1964
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:51.001610Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f667d47d-f8f0-4b4f-80ad-137b9d7c5bf3 · outbound
This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.
The Monge optimal transport barycenter problem Sinkhorn distances: Lightspeed computation of optimal transport
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.565471Z
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 9f18180e-27b8-4a9a-b887-56cc984a22a0 · outbound
This paper cites Auricchio, F.
The Monge optimal transport barycenter problem Auricchio, F
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.550589Z
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 5f5645e8-ba17-496a-920d-63124255558d · outbound
This paper cites An efficient linear programming method for Optimal Transportation.
The Monge optimal transport barycenter problem An efficient linear programming method for Optimal Transportation
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:51.044398Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ed4218e-5f91-4881-b5b0-a8d05baafcb4 · outbound
This paper cites Sample-based optimal transport and barycenter problems.Communications on Pure and Applied Mathematics, 72(8):1581–1630, 2019.
The Monge optimal transport barycenter problem Sample-based optimal transport and barycenter problems.Communications on Pure and Applied Mathematics, 72(8):1581–1630, 2019
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.535242Z
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 002085b0-0613-44d9-a18b-e33b7e3407cf · outbound
This paper cites Continuous regularized wasserstein barycenters.Advances in Neural Information Processing Systems, 33:17755–17765, 2020.
The Monge optimal transport barycenter problem Continuous regularized wasserstein barycenters.Advances in Neural Information Processing Systems, 33:17755–17765, 2020
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.519998Z
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 a2a4bca8-0254-4e9c-908b-6ed4497358e4 · outbound
This paper cites Taghvaei, B.
The Monge optimal transport barycenter problem Taghvaei, B
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.504898Z
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 13effaba-9ca5-401c-9dba-437fa38ae42f · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.488832Z
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 f9ab79cd-293d-4845-be51-447c652ab6af · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.474142Z
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 da8602c3-b9a4-4778-8359-f9cdfa2e1400 · outbound
This paper cites Trigila, E.
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.459585Z
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 7e1be35b-ab4e-4904-b667-479d8192eeb1 · outbound
This paper cites On Finding Local Nash Equilibria (and Only Local Nash Equilibria) in Zero-Sum Games.
The Monge optimal transport barycenter problem On Finding Local Nash Equilibria (and Only Local Nash Equilibria) in Zero-Sum Games
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:51.500932Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d7fbf54-03fe-4d57-b497-f598ba1f4ebd · outbound
This paper cites An implicit gradient-descent procedure for minimax problems.Mathematical Methods of Operations Research, 97(1):57–89, 2023.
The Monge optimal transport barycenter problem An implicit gradient-descent procedure for minimax problems.Mathematical Methods of Operations Research, 97(1):57–89, 2023
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.445168Z
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 a66b055b-3073-40f4-9974-540a2dd3cfda · outbound
This paper cites Stochastic wasserstein barycenters.
The Monge optimal transport barycenter problem Stochastic wasserstein barycenters
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.429849Z
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 5b365866-a13a-4498-8742-2029f4dfeb09 · outbound
This paper cites Vector quantile regression: An optimal transport approach.Ann.
The Monge optimal transport barycenter problem Vector quantile regression: An optimal transport approach.Ann
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.414975Z
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 ad7e7293-fdab-470b-b0f3-661546ab3d32 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.398790Z
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 4abcddcd-e14b-4417-8b36-dd3b351a5ba3 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.383577Z
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 061e2f48-dae8-4716-9573-41258325d079 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.368074Z
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 935ebfb1-9fb4-4094-bf45-74e7909fe2b2 · outbound
This paper cites Gretton, A.
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.352777Z
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 23347a2e-0923-421d-9ec6-9340227366da · outbound
This paper cites Parallel streaming wasserstein barycenters.Advances in Neural Information Processing Systems, 30, 2017.
The Monge optimal transport barycenter problem Parallel streaming wasserstein barycenters.Advances in Neural Information Processing Systems, 30, 2017
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.337148Z
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 91c1be75-9e67-4aae-bef1-594fb47828ca · outbound
This paper cites Gromov-wasserstein averaging of kernel and distance ma- trices.
The Monge optimal transport barycenter problem Gromov-wasserstein averaging of kernel and distance ma- trices
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.320334Z
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 74d96d3c-f4c4-4e07-b09d-e6f3a7d6e9c6 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.302797Z
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 f0bbaeb9-6332-4420-a21e-0c014718188e · outbound
This paper cites De l’Imprimerie Royale, 1781.
The Monge optimal transport barycenter problem De l’Imprimerie Royale, 1781
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.284496Z
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 39af5007-e9ab-4b14-9e5f-41da323eddbe · outbound
This paper cites Polar factorization and monotone rearrangement of vector-valued functions.Communica- tions in Pure and Applied Mathematics, 44:371–417, 1991.
The Monge optimal transport barycenter problem Polar factorization and monotone rearrangement of vector-valued functions.Communica- tions in Pure and Applied Mathematics, 44:371–417, 1991
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.267084Z
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 b30ddde4-0753-4ae7-b73b-b473f2ecf104 · outbound
This paper cites Springer Science & Business Media, 2012.
The Monge optimal transport barycenter problem Springer Science & Business Media, 2012
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.250197Z
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 399ea1e0-b9d6-42c1-bf12-3b22f8f762ea · outbound
This paper cites Gretton, O.
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.232879Z
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 f14479c9-83ea-4ea0-87af-51a0d1056f01 · outbound
This paper cites Experiments with a new boosting algorithm.
The Monge optimal transport barycenter problem Experiments with a new boosting algorithm
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.217341Z
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 34f145be-69b3-4357-98e8-79cb3ce1345a · outbound
This paper cites A randomized algorithm for principal component analysis.
The Monge optimal transport barycenter problem A randomized algorithm for principal component analysis
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.200301Z
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 99c6e987-ff0d-4431-afe0-a2d0f799732f · outbound
This paper cites Incremental pca for on-line visual learning and recognition.
The Monge optimal transport barycenter problem Incremental pca for on-line visual learning and recognition
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.182957Z
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 81ccc60e-1ccc-4dfe-bbc1-c2faca16f157 · outbound
This paper cites El Moselhy, Youssef M.
The Monge optimal transport barycenter problem El Moselhy, Youssef M
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.165183Z
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 ae5131f4-7587-43fd-908b-52cd918547c6 · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.148550Z
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 40836ff3-8320-4237-b068-ae274b27c818 · outbound
This paper cites Fitting models to data: Residual analysis, a primer.Uncertainty quantification and model calibration, 133, 2017.
The Monge optimal transport barycenter problem Fitting models to data: Residual analysis, a primer.Uncertainty quantification and model calibration, 133, 2017
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.132599Z
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 f3892ca3-4f83-48de-a165-a4b33e8d4f37 · outbound
This paper cites Hannachi, I.
The Monge optimal transport barycenter problem Hannachi, I
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.115481Z
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 67998351-73c2-49ed-a967-1afc913b6a4f · outbound
This paper cites Takahashi, A.
The Monge optimal transport barycenter problem Takahashi, A
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.097184Z
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 129d6f3e-81dc-438f-b119-512b8824550f · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 43
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T20:11:51.978220Z
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 9cdf0025-fdf6-49cb-8925-ea3ef462fc37 · outbound
This paper cites Conditional simulation via entropic optimal transport: Toward non-parametric estimation of conditional Brenier maps.
The Monge optimal transport barycenter problem Conditional simulation via entropic optimal transport: Toward non-parametric estimation of conditional Brenier maps
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:51.633279Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cfa8e25-f857-4080-b1dd-6081f6d7848e · outbound
This paper cites Hosseini, A.
The Monge optimal transport barycenter problem Hosseini, A
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.081086Z
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 60a0585f-1dd7-4a05-a9f9-ca681a3e591d · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.064640Z
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 7c790fe5-7283-4f6e-ad06-b5ece083287b · outbound
This paper cites Alfonso, et al.
The Monge optimal transport barycenter problem Alfonso, et al
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.047962Z
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 ce1bc32f-a397-4655-ba1a-87af7e660f7b · outbound
This paper cites Essid, E.
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:11:52.031791Z
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 be72d0b6-8f43-44a9-a7d7-c86bc869761c · outbound
This paper cites an unresolved cited work.
The Monge optimal transport barycenter problem Unresolved cited work
Reference 49
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:11:52.664545Z
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 7c0f99d8-d1de-434d-b440-bba1fe838294 · outbound
This paper cites Triangular monotonic generative models can perform causal dis- covery.Causal Representation Learning Workshop at NeurIPS 2023.2023.
The Monge optimal transport barycenter problem Triangular monotonic generative models can perform causal dis- covery.Causal Representation Learning Workshop at NeurIPS 2023.2023
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:51.665962Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e27ad248-028c-4de4-bbe1-3f2e4b979e47 · outbound
This paper cites Counterfactual cocycles: A framework for robust and coherent counterfactual transports.
The Monge optimal transport barycenter problem Counterfactual cocycles: A framework for robust and coherent counterfactual transports
Reference 51
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:11:51.670833Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 60aba1c3-ef7c-4b44-933b-ee896234c14a · inbound
Learning sufficient low-dimensional structures through conditional optimal transport cites this paper.
Learning sufficient low-dimensional structures through conditional optimal transport The Monge optimal transport barycenter problem
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T14:15:02.832043Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.