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Paper Citation Record · LEDGER

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation

As of 15 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 1 inbound Pith citation observation for arXiv:2510.04602.

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pith.paper-citation-record.v1
2510.04602 v4

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measured 80 of 80 reference resolution

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Reference resolution

80 of 80 outbound references displayed

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Outbound references

Observation 4533ecaf-472f-4bec-8731-b902684a7aa9 · outbound

This paper cites Barycen- ters in the wasserstein space.SIAM Journal on Mathematical Analysis, 43(2):904–924, 2011.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Barycen- ters in the wasserstein space.SIAM Journal on Mathematical Analysis, 43(2):904–924, 2011

Reference 1

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Observation f4e37e41-04cf-4ea6-8810-cc6a259aea3c · outbound

This paper cites Springer, 2008.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Springer, 2008

Reference 2

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Observation debc208f-4548-4cea-9a5e-82ce31a0c367 · outbound

This paper cites A geometric study of wasser- stein spaces: Euclidean spaces.Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 9(2):297–323, 2010.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation A geometric study of wasser- stein spaces: Euclidean spaces.Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 9(2):297–323, 2010

Reference 3

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Observation 235ca246-4724-4dcc-9d7f-83bcea0080c5 · outbound

This paper cites Model fu- sion via optimal transport.Advances in Neural Information Processing Systems, 33:22045–22055, 2020.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Model fu- sion via optimal transport.Advances in Neural Information Processing Systems, 33:22045–22055, 2020

Reference 4

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Observation 6d2cc5b6-4aa1-46d9-8f00-ba988f0760b5 · outbound

This paper cites A barycenter-based approach for the multi-model ensembling of subseasonal forecasts.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation A barycenter-based approach for the multi-model ensembling of subseasonal forecasts

Reference 5

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Observation 98f6ebab-6472-40ba-bcb3-d67889da841d · outbound

This paper cites Interpolation for robust learning: Data augmen- tation on wasserstein geodesics.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Interpolation for robust learning: Data augmen- tation on wasserstein geodesics

Reference 6

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Observation e5d8d50a-c524-4738-bdd1-1b6cc63e7380 · outbound

This paper cites Dataset Distillation via the Wasserstein Metric.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Dataset Distillation via the Wasserstein Metric

Reference 7

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Observation 28fc14c2-fca1-43a2-ad2c-203b995ce41f · outbound

This paper cites Wasser- stein dictionary learning: Optimal transport- based unsupervised nonlinear dictionary learning.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Wasser- stein dictionary learning: Optimal transport- based unsupervised nonlinear dictionary learning

Reference 9

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Observation e2c0570c-25e1-4393-8551-f2d13b2df767 · outbound

This paper cites Wasserstein barycenter for multi-source domain adaptation.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Wasserstein barycenter for multi-source domain adaptation

Reference 10

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This paper cites Multi-source domain adaptation through dataset dictionary learning in wasserstein space.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Multi-source domain adaptation through dataset dictionary learning in wasserstein space

Reference 11

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Observation 24aebd74-5356-4c77-a0fd-fbd71713e20c · outbound

This paper cites Lighter, bet- ter, faster multi-source domain adaptation with gaussian mixture models and optimal transport.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Lighter, bet- ter, faster multi-source domain adaptation with gaussian mixture models and optimal transport

Reference 12

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Observation 8093edf2-47a3-428d-8992-449a06d8f081 · outbound

This paper cites Scalable bayes via barycenter in wasserstein space.Journal of Machine Learning Research, 19(8):1–35, 2018.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Scalable bayes via barycenter in wasserstein space.Journal of Machine Learning Research, 19(8):1–35, 2018

Reference 13

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Observation 8d7baccb-8024-4122-9dfc-d5dd5a01c316 · outbound

This paper cites Fast computa- tion of wasserstein barycenters.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Fast computa- tion of wasserstein barycenters

Reference 14

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This paper cites Iterative bregman projections for regularized transporta- tion problems.SIAM Journal on Scientific Com- puting, 37(2):A1111–A1138, 2015.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Iterative bregman projections for regularized transporta- tion problems.SIAM Journal on Scientific Com- puting, 37(2):A1111–A1138, 2015

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Observation f3247d9c-d855-420f-8a09-cfe0da3a89d8 · outbound

This paper cites Debiased sinkhorn barycenters.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Debiased sinkhorn barycenters

Reference 16

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Observation 35e92a50-6e35-4a48-8bad-d277cdc75c9e · outbound

This paper cites Gradient descent algo- rithms for bures-wasserstein barycenters.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Gradient descent algo- rithms for bures-wasserstein barycenters

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This paper cites Statistical inference for bures–wasserstein barycenters.The Annals of Ap- plied Probability, 31(3):1264–1298, 2021.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Statistical inference for bures–wasserstein barycenters.The Annals of Ap- plied Probability, 31(3):1264–1298, 2021

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This paper cites A wasserstein- type distance in the space of gaussian mixture models.SIAM Journal on Imaging Sciences, 13(2):936–970, 2020.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation A wasserstein- type distance in the space of gaussian mixture models.SIAM Journal on Imaging Sciences, 13(2):936–970, 2020

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This paper cites Multi-marginal optimal transport: theory and applications.ESAIM: Mathematical Modelling and Numerical Analysis, 49(6):1771– 1790, 2015.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Multi-marginal optimal transport: theory and applications.ESAIM: Mathematical Modelling and Numerical Analysis, 49(6):1771– 1790, 2015

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Observation d76886cc-b512-4366-bfa0-e43b1460b907 · outbound

This paper cites Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization

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This paper cites Input convex neural networks.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Input convex neural networks

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Observation 45583179-6852-442f-9d7b-059ef6bd4ed8 · outbound

This paper cites Estimating Barycenters of Distributions with Neural Optimal Transport.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Estimating Barycenters of Distributions with Neural Optimal Transport

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport

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This paper cites Computing Optimal Transport Maps and Wasserstein Barycenters Using Conditional Normalizing Flows.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Computing Optimal Transport Maps and Wasserstein Barycenters Using Conditional Normalizing Flows

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This paper cites Wasserstein itera- tive networks for barycenter estimation.Ad- vances in Neural Information Processing Systems, 35:15672–15686, 2022.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Wasserstein itera- tive networks for barycenter estimation.Ad- vances in Neural Information Processing Systems, 35:15672–15686, 2022

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This paper cites Springer Science & Business Media, 2008.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Springer Science & Business Media, 2008

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Unresolved cited work

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This paper cites Computa- tional optimal transport: With applications to data science.Foundations and Trends®in Ma- chine Learning, 11(5-6):355–607, 2019.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Computa- tional optimal transport: With applications to data science.Foundations and Trends®in Ma- chine Learning, 11(5-6):355–607, 2019

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Re- cent advances in optimal transport for machine learning.IEEE Transactions on Pattern Analysis and Machine Intelligence, 47(2):1161–1180, 2025

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation M´ emoire sur la th´ eorie des d´ eblais et des remblais.Histoire de l’Acad´ emie Royale des Sciences de Paris, 1781

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation On the transfer of masses (in russian)

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Wasserstein geometry of gaussian measures.Osaka Journal of Mathematics, 2011

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Les ´ el´ ements al´ eatoires de na- ture quelconque dans un espace distanci´ e

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Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Multi- source domain adaptation meets dataset distil- lation through dataset dictionary learning

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Observation bb771123-9a82-42cb-a2ad-c3424f6585c4 · outbound

This paper cites Sample complexity of optimal transport barycenters with discrete support.arXiv preprint arXiv:2505.21274, 2025.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Sample complexity of optimal transport barycenters with discrete support.arXiv preprint arXiv:2505.21274, 2025

Reference 73

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Observation 25866f59-fa3d-44b7-bad6-5319fea38731 · outbound

This paper cites Optimal transport for domain adaptation through gaussian mixture models.Transactions on Ma- chine Learning Research, 2025.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Optimal transport for domain adaptation through gaussian mixture models.Transactions on Ma- chine Learning Research, 2025

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Observation db033d1b-9881-4546-95f8-90a4e57a902e · outbound

This paper cites Adap- tiope: A modern benchmark for unsupervised domain adaptation.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Adap- tiope: A modern benchmark for unsupervised domain adaptation

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Observation d44694de-7cad-4e4b-877d-ac80ae6bd58f · outbound

This paper cites An extended tennessee eastman simula- tion dataset for fault-detection and decision sup- port systems.Computers & chemical engineering, 149:107281, 2021.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation An extended tennessee eastman simula- tion dataset for fault-detection and decision sup- port systems.Computers & chemical engineering, 149:107281, 2021

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Observation 4aae64ae-ae07-4af7-bb73-775e44cd4195 · outbound

This paper cites However, the softmax operation for getting the labels, i.e.,y= softmax(ℓ), is not invertible.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation However, the softmax operation for getting the labels, i.e.,y= softmax(ℓ), is not invertible

Reference 77

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Observation 14545bd5-6f16-480e-bda8-52a22c373ed8 · outbound

This paper cites However, applying the softmax breaks the convexity requirement.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation However, applying the softmax breaks the convexity requirement

Reference 78

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Observation 851c01bd-7a3f-444f-9dc1-7e08560fabfa · outbound

This paper cites an unresolved cited work.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Unresolved cited work

Reference 79

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Observation e866f037-86c1-4f5b-9e34-758881562edf · outbound

This paper cites These results are available, respectively, in [42] and [73].

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation These results are available, respectively, in [42] and [73]

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Observation f268f1bb-2689-4bd1-b6fa-d8fdd85b3531 · outbound

This paper cites Our goal here is to perform cross-subjectadaptation, namely, we use data from a given set of source subjects, and try to predict on a target subject.

Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation Our goal here is to perform cross-subjectadaptation, namely, we use data from a given set of source subjects, and try to predict on a target subject

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Pith citing papers

Observation c94e8004-0602-45bc-9cc9-28c618c19a11 · inbound

Provably convergent stochastic fixed-point algorithm for free-support Wasserstein barycenter of continuous non-parametric measures cites this paper.

Provably convergent stochastic fixed-point algorithm for free-support Wasserstein barycenter of continuous non-parametric measures Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation

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