Paper Citation Record · LEDGER

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives

As of 20 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 3 inbound Pith citation observations for arXiv:2506.19025.

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

pith.paper-citation-record.v1
2506.19025 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:49:09.924363Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:52:53.172778Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T21:00:09.120540Z

Reference resolution

38 of 38 outbound references displayed

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External citation measurements

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Outbound references

Observation bfc214dd-534d-47e3-92f4-93109c14c82e · outbound

This paper cites Pitman Efficiency Lower Bounds for Multivariate Distribution-Free Tests Based on Optimal Transport.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Pitman Efficiency Lower Bounds for Multivariate Distribution-Free Tests Based on Optimal Transport

Reference 7

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Observation 4d4b94ad-5e52-44ea-9bf2-4df5cfa77152 · outbound

This paper cites Tight stability bounds for entropic Brenier maps.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Tight stability bounds for entropic Brenier maps

Reference 10

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Observation 3e8933a1-5642-46a9-b96e-0cd2fe44cabe · outbound

This paper cites Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation

Reference 12

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Observation 5a7d312c-e400-4f80-9a3e-b2eb9423ce7b · outbound

This paper cites doi: 10.1214/21-AOP1562.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives doi: 10.1214/21-AOP1562

Reference 13

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Observation 59eabe5c-7f0e-4675-9df8-9ef50f41177a · outbound

This paper cites Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs

Reference 14

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Observation 33fc6999-d0a2-4e56-8425-886bf24323de · outbound

This paper cites González-Sanz and M.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives González-Sanz and M

Reference 15

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Observation e8f7f0fc-46c6-4b24-a5b4-2f62b54eb6fb · outbound

This paper cites Sparse Regularized Optimal Transport without Curse of Dimensionality.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Sparse Regularized Optimal Transport without Curse of Dimensionality

Reference 17

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Observation 9f818747-af37-4931-ab9c-4275d41ba367 · outbound

This paper cites Matching for causal effects via multimarginal unbalanced optimal transport.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Matching for causal effects via multimarginal unbalanced optimal transport

Reference 19

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Observation 8e0ff0fc-5810-47df-80da-b7bd55010b9c · outbound

This paper cites Asymptotics of Discrete Schr\"odinger Bridges via Chaos Decomposition.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Asymptotics of Discrete Schr\"odinger Bridges via Chaos Decomposition

Reference 20

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Observation f215e552-67ed-4966-9ed4-3fc44caf3c28 · outbound

This paper cites Asymptotics for Random Quadratic Transportation Costs.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Asymptotics for Random Quadratic Transportation Costs

Reference 22

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Observation 4b154f79-5c7b-45da-8ca7-2f8b830acb3c · outbound

This paper cites Gluing methods for quantitative stability of optimal transport maps.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Gluing methods for quantitative stability of optimal transport maps

Reference 25

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Observation 21688914-9170-47f4-9af6-0376bf35ec30 · outbound

This paper cites Beyond entropic regularization: Debiased Gaussian estimators for discrete optimal transport and general linear programs.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Beyond entropic regularization: Debiased Gaussian estimators for discrete optimal transport and general linear programs

Reference 26

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Observation a0afa7d0-6f62-421d-a560-1926a7a6c819 · outbound

This paper cites Central Limit Theorems for Smooth Optimal Transport Maps.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Central Limit Theorems for Smooth Optimal Transport Maps

Reference 27

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Observation dc4a4974-5e2e-4ad8-9711-b3821e2e2bae · outbound

This paper cites Manole, S.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Manole, S

Reference 28

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Observation 119d5943-905d-43a0-b267-a40327497c7e · outbound

This paper cites Quantitative stability in optimal transport for general power costs.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Quantitative stability in optimal transport for general power costs

Reference 29

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Observation 31cf9217-9e58-40a4-9ae0-58e05eeb99e1 · outbound

This paper cites The Earth Mover's Correlation.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives The Earth Mover's Correlation

Reference 31

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Observation a2aba6bc-6adc-4354-b9a8-a7467d2c95bf · outbound

This paper cites Near-optimal estimation of smooth transport maps with kernel sums-of-squares.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Near-optimal estimation of smooth transport maps with kernel sums-of-squares

Reference 32

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Observation da17a8e5-1a14-49db-ae1f-7eb2914b576b · outbound

This paper cites Transport Dependency: Optimal Transport Based Dependency Measures.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Transport Dependency: Optimal Transport Based Dependency Measures

Reference 33

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Observation c8e5f6e5-7535-4c71-9986-a7fe729277c4 · outbound

This paper cites Entropic estimation of optimal transport maps.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Entropic estimation of optimal transport maps

Reference 34

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Observation 7df99ffd-974c-4c46-bb17-54bebe4bc8ce · outbound

This paper cites Sparsity of Quadratically Regularized Optimal Transport: Bounds on concentration and bias.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Sparsity of Quadratically Regularized Optimal Transport: Bounds on concentration and bias

Reference 37

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Observation 09c5d672-8774-4993-ab4e-83c1f58326d2 · outbound

This paper cites Disentangled Representation Learning with Wasserstein Total Correlation.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Disentangled Representation Learning with Wasserstein Total Correlation

Reference 38

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Observation 059412c3-e0ee-446a-a78f-10ee8116296f · outbound

This paper cites The entropic optimal (self-)transport problem: Limit distributions for decreasing regularization with application to score function estimation.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives The entropic optimal (self-)transport problem: Limit distributions for decreasing regularization with application to score function estimation

Reference 1781

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Observation 1c3b310c-c5fa-4c75-92d3-09453f8c78c8 · outbound

This paper cites Graphical and uniform consistency of estimated optimal transport plans.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Graphical and uniform consistency of estimated optimal transport plans

Reference 1931

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Observation 20c5aa0d-b6d9-4a49-9ea7-4ad4ef6ab831 · outbound

This paper cites Multivariate Symmetry: Distribution-Free Testing via Optimal Transport.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Multivariate Symmetry: Distribution-Free Testing via Optimal Transport

Reference 1948

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Observation 7aabb66b-52a2-438f-828b-be2a13d8e320 · outbound

This paper cites Approximation rates of entropic maps in semidiscrete optimal transport.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Approximation rates of entropic maps in semidiscrete optimal transport

Reference 1952

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Observation 10684878-6bf6-463c-b4ed-7923f04788c7 · outbound

This paper cites A survey of some recent developments in measures of association.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives A survey of some recent developments in measures of association

Reference 2009

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This paper cites Concentration bounds for linear Monge mapping estimation and optimal transport domain adaptation.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Concentration bounds for linear Monge mapping estimation and optimal transport domain adaptation

Reference 2010

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Observation 6d526905-6431-4414-9231-795f31d86b4e · outbound

This paper cites A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications

Reference 2013

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Unresolved cited work

Reference 2015

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Observation 7929e65a-e0aa-44ed-a644-e73f8e86950e · outbound

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Statistical optimal transport

Reference 2017

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This paper cites Statistical Convergence Rates of Optimal Transport Map Estimation between General Distributions.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Statistical Convergence Rates of Optimal Transport Map Estimation between General Distributions

Reference 2018

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Stability of optimal transport maps on Riemannian manifolds

Reference 2019

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Letrouit

Reference 2020

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Stability Bounds for Smooth Optimal Transport Maps and their Statistical Implications

Reference 2021

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Optimal transport map estimation in general function spaces

Reference 2022

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This paper cites On Optimal Transport Maps Between 1 /d-Concave Densities.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives On Optimal Transport Maps Between 1 /d-Concave Densities

Reference 2023

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Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives González-Sanz and S

Reference 2024

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This paper cites Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences.

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences

Reference 2025

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Pith citing papers

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Statistical Estimation of Monge Transport Maps via Brenier Potentials cites this paper.

Statistical Estimation of Monge Transport Maps via Brenier Potentials Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives

Reference 5

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Finite-sample bounds for regularized optimal transport cites this paper.

Finite-sample bounds for regularized optimal transport Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives

Reference 1

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Sharp Asymptotics for Regularized Optimal Transport cites this paper.

Sharp Asymptotics for Regularized Optimal Transport Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives

Reference 1

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