Optimal Transport

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Optimal transport is a mathematical theory at the interface between optimization and probability theory. It is a natural tool to study probability distributions in the many situations where they appear: data science, partial differential equations, statistics or shape processing.

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Optimal Transportation and Alignment Between Gaussian Measures Sanjit Dandapanthula Aleksandr Podkopaev Shiva Prasad Kasiviswanathan Aaditya Ramdas Ziv Goldfeld OT 98 0 0 03 Dec 2025
Embedding networks with the random walk first return time distribution Vedanta Thapar Renaud Lambiotte George T. Cantwell OT 176 0 0 02 Dec 2025
Optimizing Distributional Geometry Alignment with Optimal Transport for Generative Dataset Distillation Xiao Cui Yulei Qin Wengang Zhou Hongsheng Li Houqiang Li DD OT 60 0 0 29 Nov 2025
Structured Matching via Cost-Regularized Unbalanced Optimal Transport Emanuele Pardini Katerina Papagiannouli OT 68 0 0 24 Nov 2025
Efficient Transferable Optimal Transport via Min-Sliced Transport Plans Xinran Liu Elaheh Akbari Rocio Diaz Martin Navid NaderiAlizadeh Soheil Kolouri OT 167 0 0 24 Nov 2025
Connectivity-Preserving Multi-Agent Area Coverage via Optimal-Transport-Based Density-Driven Optimal Control (D2OC) Kooktae Lee Ethan Brook OT 140 0 0 23 Nov 2025
GCL-OT: Graph Contrastive Learning with Optimal Transport for Heterophilic Text-Attributed Graphs Yating Ren Yikun Ban Huobin Tan OT 16 0 0 20 Nov 2025
2D Gaussians Spatial Transport for Point-supervised Density Regression Miao Shang Xiaopeng Hong OT 120 0 0 18 Nov 2025
Departures: Distributional Transport for Single-Cell Perturbation Prediction with Neural Schrödinger Bridges Changxi Chi Yufei Huang Jun Xia Jiangbin Zheng Yunfan Liu Z. Zang Stan Z. Li OT 173 0 0 17 Nov 2025
Density-Driven Optimal Control for Non-Uniform Area Coverage in Decentralized Multi-Agent Systems Using Optimal Transport Sungjun Seo Kooktae Lee OT 36 0 0 16 Nov 2025
Low-Bit, High-Fidelity: Optimal Transport Quantization for Flow Matching Dara Varam Diaa Addeen Abuhani Imran Zualkernan Raghad AlDamani Lujain Khalil MQ OT 185 0 0 14 Nov 2025
Distributional Treatment Effect Estimation across Heterogeneous Sites via Optimal Transport Borna Bateni Yubai Yuan Qi Xu Annie Qu CML OT 269 0 0 12 Nov 2025
On the Equivalence of Optimal Transport Problem and Action Matching with Optimal Vector Fields Nikita Kornilov Alexander Korotin OT 200 0 0 31 Oct 2025
Hyperbolic Optimal TransportMathematics, Computation and Geometry of Data (MCGD), 2025 Yan Bin Ng Xianfeng Gu OT 155 0 0 31 Oct 2025
Proxemics and Permeability of the Pedestrian Group Saleh Albeaik Faisal Alsallum Mohamad Alrished OT 186 1 0 30 Oct 2025
Stochastic Optimization in Semi-Discrete Optimal Transport: Convergence Analysis and Minimax Rate Ferdinand Genans Antoine Godichon-Baggioni François-Xavier Vialard Olivier Wintenberger OT 177 0 0 29 Oct 2025
Bridging Simulators with Conditional Optimal Transport Justine Zeghal B. Remy Yashar Hezaveh F. Lanusse Laurence Perreault Levasseur OT 143 0 0 28 Oct 2025
Statistical Analysis of the Sinkhorn Iterations for Two-Sample Schrödinger Bridge Estimation Ibuki Maeda Rentian Yao Atsushi Nitanda OT 208 0 0 26 Oct 2025
Exponential Convergence Guarantees for Iterative Markovian Fitting Marta Gentiloni Silveri Giovanni Conforti Alain Durmus OT 135 0 0 23 Oct 2025
Learning Boltzmann Generators via Constrained Mass Transport Christopher von Klitzing Denis Blessing Henrik Schopmans Pascal Friederich Gerhard Neumann OT 208 0 0 21 Oct 2025
Stick-Breaking Embedded Topic Model with Continuous Optimal Transport for Online Analysis of Document Streams Federica Granese Serena Villata Charles Bouveyron OT 106 0 0 21 Oct 2025
Split-Fuse-Transport: Annotation-Free Saliency via Dual Clustering and Optimal Transport Alignment Muhammad Umer Ramzan Ali Zia Abdelwahed Khamis Noman Ali Usman Ali Wei Xiang OT 120 0 0 20 Oct 2025
A Geometric Approach to Optimal Experimental Design Gavin Kerrigan C. A. Naesseth Tom Rainforth OT 167 0 0 16 Oct 2025
AlignFlow: Improving Flow-based Generative Models with Semi-Discrete Optimal Transport Lingkai Kong Molei Tao Yang Liu Bryan Wang Jinmiao Fu Chien Wang Huidong Liu OT 179 0 0 16 Oct 2025
Nash Flows Over Time with Tolls Shaul Rosner Marc Schröder Laura Vargas Koch OT 156 0 0 15 Oct 2025
Simplifying Optimal Transport through Schatten- $p$ Regularization Tyler Maunu OT 156 0 0 13 Oct 2025
An Eulerian Perspective on Straight-Line Sampling Panos Tsimpos Youssef Marzouk OT 104 0 0 13 Oct 2025
Counterfactual Identifiability via Dynamic Optimal Transport Fabio De Sousa Ribeiro Ainkaran Santhirasekaram Ben Glocker OT 268 0 0 09 Oct 2025
Differentially Private Wasserstein Barycenters Anming Gu Sasidhar Kunapuli Mark Bun Edward Chien Kristjan Greenewald OT 186 0 0 03 Oct 2025
Representational Alignment Across Model Layers and Brain Regions with Hierarchical Optimal Transport Shaan Shah Meenakshi Khosla OT 126 0 0 02 Oct 2025
Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport Yesom Park Shu Liu Mo Zhou Stanley Osher OT 120 0 0 30 Sep 2025
Noise-Guided Transport for Imitation Learning Lionel Blondé Joao A. Candido Ramos Alexandros Kalousis OT 125 0 0 30 Sep 2025
Exact Solutions to the Quantum Schrödinger Bridge Problem Mykola Bordyuh Djork-Arné Clevert Marco Bertolini OT 120 0 0 30 Sep 2025
Reweighted Flow Matching via Unbalanced OT for Label-free Long-tailed Generation Hyunsoo Song Minjung Gim Jaewoong Choi OT 121 0 0 30 Sep 2025
OAT-FM: Optimal Acceleration Transport for Improved Flow Matching Angxiao Yue Anqi Dong Hongteng Xu OT 104 0 0 29 Sep 2025
Flow Matching with Semidiscrete Couplings Alireza Mousavi-Hosseini Stephen Zhang Michal Klein Marco Cuturi OT 208 2 0 29 Sep 2025
Conditional Risk Minimization with Side Information: A Tractable, Universal Optimal Transport Framework Xinqiao Xie Jonathan Yu-Meng Li OT 88 0 0 27 Sep 2025
Entering the Era of Discrete Diffusion Models: A Benchmark for Schrödinger Bridges and Entropic Optimal Transport Xavier Aramayo Carrasco Grigoriy Ksenofontov Aleksei Leonov Iaroslav Koshelev Alexander Korotin OT 143 0 0 27 Sep 2025
New Algorithmic Directions in Optimal Transport and Applications for Product Spaces Salman Beigi O. Etesami Mohammad Mahmoody Amir Najafi OT 163 0 0 25 Sep 2025
Bispectral OT: Dataset Comparison using Symmetry-Aware Optimal Transport Annabel Ma Kaiying Hou David Alvarez-Melis Melanie Weber OT 129 0 0 25 Sep 2025
Optimal Transport Based Hyperspectral Unmixing for Highly Mixed ObservationsWorkshop on Hyperspectral Image and Signal Processing (WHISPERS), 2024 D. Doutsas B. Figliuzzi OT 145 0 0 24 Sep 2025
Fast Estimation of Wasserstein Distances via Regression on Sliced Wasserstein Distances Khai Nguyen Hai Nguyen N. Ho OT 3DPC 3DV 126 1 0 24 Sep 2025
Neighbor Embeddings Using Unbalanced Optimal Transport Metrics Muhammad Rana Keaton Hamm OT 109 0 0 23 Sep 2025
Discrete optimal transport is a strong audio adversarial attack Anton Selitskiy Akib Shahriyar Jishnuraj Prakasan OT 117 0 0 18 Sep 2025
Towards Pre-trained Graph Condensation via Optimal Transport Yeyu Yan Shuai Zheng Wenjun Hui Xiangkai Zhu Dong Chen Zhenfeng Zhu Yao Zhao Kunlun He OT 188 0 0 18 Sep 2025
Masked Diffusion Models as Energy Minimization Sitong Chen Shen Nie Jiacheng Sun Zijin Feng Zhenguo Li Ji-Rong Wen Chongxuan Li DiffM OT 301 0 0 17 Sep 2025
StegOT: Trade-offs in Steganography via Optimal Transport Chengde Lin Xuezhu Gong Shuxue Ding Mingzhe Yang Xijun Lu Chengjun Mo OT 211 0 0 14 Sep 2025
Optimal Multimarginal Schrödinger Bridge: Minimum Spanning Tree over Measure-valued Vertices Georgiy A. Bondar Abhishek Halder OT 149 0 0 12 Sep 2025
A transport approach to the cutoff phenomenon Francesco Pedrotti Justin Salez OT 184 1 0 10 Sep 2025
Gromov-Wasserstein and optimal transport: from assignment problems to probabilistic numeric Iman Seyedi Antonio Candelieri Enza Messina Francesco Archetti OT 136 1 0 04 Sep 2025

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