mlsanityData to 14 Oct 2026

Statistical optimal transport

arXiv 2407.18163 ↗First posted 25 Jul 2024math.ST stat.ML stat.THcited by 47

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Abstract (arXiv)

We present an introduction to the field of statistical optimal transport, based on lectures given at 'Ecole d''Et'e de Probabilit'es de Saint-Flour XLIX.

Key facts. Cited by 47 papers in the map (data through 14 Oct 2026). Builds on 0 of its 325 references that are in the map. First posted on arXiv 25 Jul 2024.

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Citing papers per year: 2024: 8; 2025: 23; 2026: 16.

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  1. 2024Controlling Language and Diffusion Models by Transporting Activationscited by 68
  2. 2025Quantitative Clustering in Mean-Field Transformer Modelscited by 26
  3. 2025Multivariate Conformal Prediction using Optimal Transportcited by 22
  4. 2025Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaoscited by 21
  5. 2025Flow Matching with Semidiscrete Couplingscited by 13
  6. 2025Weighted quantization using MMD: From mean field to mean shift via gradient flowscited by 12
  7. 2024Stein transport for Bayesian inferencecited by 11
  8. 2025On Fitting Flow Models with Large Sinkhorn Couplingscited by 11
  9. 2025Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Modelscited by 9
  10. 2024Plug-in estimation of Schr"odinger bridgescited by 8
  11. 2025Variational Inference with Mixtures of Isotropic Gaussianscited by 6
  12. 2026Concept Heterogeneity-aware Representation Steeringcited by 6
35 more
  1. 2024Inclusive KL Gradient Flows: Otto-Wasserstein, Fisher-Rao-Gaussian, and Local-Estimator Dynamicscited by 4
  2. 2025DDEQs: Distributional Deep Equilibrium Models through Wasserstein Gradient Flowscited by 4
  3. 2025Beyond Uncertainty Sets: Leveraging Optimal Transport to Extend Conformal Predictive Distributions to Multivariate Settingscited by 3
  4. 2026Federate the Router: Learning Language Model Routers with Sparse and Decentralized Evaluationscited by 3
  5. 2026Diffusion Models Are Statistically Optimal for Learning Low-Dimensional Multi-Modal Distributionscited by 3
  6. 2024Stochastic variance-reduced Gaussian variational inference on the Bures-Wasserstein manifoldcited by 2
  7. 2024Optimal Robust Estimation under Local and Global Corruptions: Stronger Adversary and Smaller Errorcited by 2
  8. 2025Manifold learning in metric spacescited by 2
  9. 2025Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean spacecited by 2
  10. 2025Gradient Flow Sampler-based Distributionally Robust Optimizationcited by 2
  11. 2025On The Hidden Biases of Flow Matching Samplerscited by 2
  12. 2026Convergence Rates for Distribution Matching with Sliced Optimal Transportcited by 2
  13. 2026A Unifying View of Variational Generative Wasserstein Flowscited by 2
  14. 2024Linearized Wasserstein Barycenters: Synthesis, Analysis, Representational Capacity, and Applicationscited by 1
  15. 2025Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectivescited by 1
  16. 2025Measuring Time-Series Dataset Similarity using Wasserstein Distancecited by 1
  17. 2025Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computationcited by 1
  18. 2025Particle Dynamics for Latent-Variable Energy-Based Modelscited by 1
  19. 2025Minimax-Optimal Two-Sample Test with Sliced Wassersteincited by 1
  20. 2026Rate-Optimal Noise Annealing in Semi-Dual Neural Optimal Transport: Tangential Identifiability, Off-Manifold Ambiguity, and Guaranteed Recoverycited by 1
  21. 2026Wasserstein Parallel Transport for Predicting the Dynamics of Statistical Systemscited by 1
  22. 2026L2 over Wasserstein: Statistical Analysis for Optimal Transportcited by 1
  23. 2024Fused Gromov-Wasserstein Variance Decomposition with Linear Optimal Transportcited by 0
  24. 2025Optimal Transport with Heterogeneously Missing Datacited by 0
  25. 2025New Algorithmic Directions in Optimal Transport and Applications for Product Spacescited by 0
  26. 2025Simplifying Optimal Transport through Schatten-p Regularizationcited by 0
  27. 2025MALBO: Optimizing LLM-Based Multi-Agent Teams via Multi-Objective Bayesian Optimizationcited by 0
  28. 2026PCA of probability measures: Sparse and Dense sampling regimescited by 0
  29. 2026Geometry-Aware Optimal Transport: Fast Intrinsic Dimension and Wasserstein Distance Estimationcited by 0
  30. 2026Transport Clustering: Solving Low-Rank Optimal Transport via Clusteringcited by 0
  31. 2026Optimizing Computational-Statistical Runtime for Wasserstein Distance Estimationcited by 0
  32. 2026Sample Complexity of Transfer Learning: An Optimal Transport Approachcited by 0
  33. 2026The Score Hamiltonian: Mapping Diffusion Models to Adiabatic Transportcited by 0
  34. 2026Another Look at Log-PCA for Probability Measures: A Dynamical Formulation and Statistical Convergencecited by 0
  35. 2026Guidance Without Labels: Flow Matching from Coupled Gaussian Mixturescited by 0