Optimal Transport

Neural Optimal Transport with General Cost Functionals

Arip Asadulaev, Alexander Korotin, Vage Egiazarian et al.

A Computational Framework for Solving Wasserstein Lagrangian Flows

Kirill Neklyudov, Rob Brekelmans, Alexander Tong et al.

Hierarchical Multi-Marginal Optimal Transport for Network Alignment

Zhichen Zeng, Boxin Du, Si Zhang et al.

Neural Monge Map estimation and its applications

Shaojun Ma, Yongxin Chen, Hao-Min Zhou et al.

Light and Optimal Schrödinger Bridge Matching

Nikita Gushchin, Sergei Kholkin, Evgeny Burnaev et al.

Unbalancedness in Neural Monge Maps Improves Unpaired Domain Translation

Luca Eyring, Dominik Klein, Théo Uscidda et al.

Energy-guided Entropic Neural Optimal Transport

Petr Mokrov, Alexander Korotin, Alexander Kolesov et al.

Robust Multi-Task Learning with Excess Risks

Yifei He, Shiji Zhou, Guojun Zhang et al.

Multi-Level Optimal Transport for Universal Cross-Tokenizer Knowledge Distillation on Language Models

Xiao Cui, Mo Zhu, Yulei Qin et al.

Position: Optimization in SciML Should Employ the Function Space Geometry

Johannes Müller, Marius Zeinhofer

Residual-Conditioned Optimal Transport: Towards Structure-Preserving Unpaired and Paired Image Restoration

Xiaole Tang, Hu Xin, Xiang Gu et al.

Optimal Transport for Time Series Imputation

Hao Wang, zhengnan li, Haoxuan Li et al.

Revisiting Deep Audio-Text Retrieval Through the Lens of Transportation

Tien Manh Luong, Khai Nguyen, Nhat Ho et al.

Optimal transport-based conformal prediction

Gauthier Thurin, Kimia Nadjahi, Claire Boyer

Transport meets Variational Inference: Controlled Monte Carlo Diffusions

Francisco Vargas, Shreyas Padhy, Denis Blessing et al.

P$^2$OT: Progressive Partial Optimal Transport for Deep Imbalanced Clustering

Chuyu Zhang, Hui Ren, Xuming He

Partially Observed Trajectory Inference using Optimal Transport and a Dynamics Prior

Anming Gu, Edward Chien, Kristjan Greenewald

Wasserstein Wormhole: Scalable Optimal Transport Distance with Transformer

Doron Haviv, Russell Kunes, Thomas Dougherty et al.

OTMatch: Improving Semi-Supervised Learning with Optimal Transport

Zhiquan Tan, Kaipeng Zheng, Weiran Huang

Estimating Barycenters of Distributions with Neural Optimal Transport

Alexander Kolesov, Petr Mokrov, Igor Udovichenko et al.

Integrating Efficient Optimal Transport and Functional Maps For Unsupervised Shape Correspondence Learning

Tung Le, Khai Nguyen, Shanlin Sun et al.

An Optimal Transport View for Subspace Clustering and Spectral Clustering

Yuguang Yan, Zhihao Xu, Canlin Yang et al.

Expected Sliced Transport Plans

Xinran Liu, Rocio Diaz Martin, Yikun Bai et al.

Trust Region Constrained Measure Transport in Path Space for Stochastic Optimal Control and Inference

Denis Blessing, Julius Berner, Lorenz Richter et al.

Generalized Sobolev Transport for Probability Measures on a Graph

Tam Le, Truyen Nguyen, Kenji Fukumizu

Sparsistency for inverse optimal transport

Francisco Andrade, Gabriel Peyré, Clarice Poon

Accelerating 3D Molecule Generation via Jointly Geometric Optimal Transport

Haokai Hong, Wanyu LIN, KC Tan

On the Relation between Rectified Flows and Optimal Transport

Johannes Hertrich, Antonin Chambolle, Julie Delon

Sequential Conditional Transport on Probabilistic Graphs for Interpretable Counterfactual Fairness

Agathe Fernandes Machado, Arthur Charpentier, Ewen Gallic

Double-Bounded Optimal Transport for Advanced Clustering and Classification

Liangliang Shi, Zhaoqi Shen, Junchi Yan

Variational Regularized Unbalanced Optimal Transport: Single Network, Least Action

Yuhao Sun, Zhenyi Zhang, Zihan Wang et al.

Many-Objective Multi-Solution Transport

Ziyue Li, Tian Li, Virginia Smith et al.

Analyzing and Improving Optimal-Transport-based Adversarial Networks

Jaemoo Choi, Jaewoong Choi, Myungjoo Kang

Learning Ultrametric Trees for Optimal Transport Regression

Optimal Transport for Structure Learning Under Missing Data

Vy Vo, He Zhao, Trung Le et al.

Differentiable Generalized Sliced Wasserstein Plans

Laetitia Chapel, Romain Tavenard, Samuel Vaiter

The Curse of Conditions: Analyzing and Improving Optimal Transport for Conditional Flow-Based Generation

Ho Kei Cheng, Alex Schwing

Probability-Polarized Optimal Transport for Unsupervised Domain Adaptation

Yan Wang, Chuan-Xian Ren, Yi-Ming Zhai et al.

Parameter Estimation in DAGs from Incomplete Data via Optimal Transport

Vy Vo, Trung Le, Tung-Long Vuong et al.

Nonlinear Filtering with Brenier Optimal Transport Maps

Mohammad Al-Jarrah, Niyizhen Jin, Bamdad Hosseini et al.

Mahalanobis Distance-based Multi-view Optimal Transport for Multi-view Crowd Localization

Qi Zhang, Kaiyi Zhang, Antoni Chan et al.

Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport

Milena Gazdieva, Jaemoo Choi, Alexander Kolesov et al.

Hierarchical Refinement: Optimal Transport to Infinity and Beyond

Peter Halmos, Julian Gold, Xinhao Liu et al.

Universal Neural Optimal Transport

Jonathan Geuter, Gregor Kornhardt, Ingimar Tomasson et al.

On Partial Optimal Transport: Revising the Infeasibility of Sinkhorn and Efficient Gradient Methods

Anh Duc Nguyen, Tuan Dung Nguyen, Quang Nguyen et al.

Unify ML4TSP: Drawing Methodological Principles for TSP and Beyond from Streamlined Design Space of Learning and Search

Yang Li, Jiale Ma, Wenzheng Pan et al.

Exploiting Geometry for Treatment Effect Estimation via Optimal Transport

Yuguang Yan, Zeqin Yang, Weilin Chen et al.

Quantum Theory and Application of Contextual Optimal Transport

Nicola Mariella, Albert Akhriev, Francesco Tacchino et al.

Score-Based Diffusion Policy Compatible with Reinforcement Learning via Optimal Transport

Mingyang Sun, Pengxiang Ding, Weinan Zhang et al.

Lightspeed Geometric Dataset Distance via Sliced Optimal Transport

Khai Nguyen, Hai Nguyen, Tuan Pham et al.

Computing Optimal Transport Maps and Wasserstein Barycenters Using Conditional Normalizing Flows

Gabriele Visentin, Patrick Cheridito

Improving Neural Optimal Transport via Displacement Interpolation

Jaemoo Choi, Yongxin Chen, Jaewoong Choi

A Truncated Newton Method for Optimal Transport

Mete Kemertas, Amir-massoud Farahmand, Allan Jepson

Generative Conditional Distributions by Neural (Entropic) Optimal Transport

Bao Nguyen, Binh Nguyen, Trung Hieu Nguyen et al.

Unsupervised Learning for Optimal Transport plan prediction between unbalanced graphs

Sonia Mazelet, Rémi Flamary, Bertrand Thirion

TAROT: Targeted Data Selection via Optimal Transport

Lan Feng, Fan Nie, Yuejiang Liu et al.

Overcoming Spurious Solutions in Semi-Dual Neural Optimal Transport: A Smoothing Approach for Learning the Optimal Transport Plan

Jaemoo Choi, Jaewoong Choi, Dohyun Kwon

Linear Spherical Sliced Optimal Transport: A Fast Metric for Comparing Spherical Data

Xinran Liu, Yikun Bai, Rocio Diaz Martin et al.

Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization

Kaheon Kim, Rentian Yao, Changbo Zhu et al.

LCOT: Linear Circular Optimal Transport

ROCIO DIAZ MARTIN, Ivan Medri, Yikun Bai et al.

Towards Prospective Medical Image Reconstruction via Knowledge-Informed Dynamic Optimal Transport

Taoran Zheng, Yan Yang, Xing Li et al.

On the Private Estimation of Smooth Transport Maps

Clément Lalanne, Franck Iutzeler, Loubes Jean-Michel et al.

Submodular framework for structured-sparse optimal transport

Piyushi Manupriya, Pratik Kumar Jawanpuria, Karthik Gurumoorthy et al.

Generalized Variational Inference via Optimal Transport

Jinjin Chi, Zhichao Zhang, Zhiyao Yang et al.

Tightening Causal Bounds via Covariate-Aware Optimal Transport

Sirui Lin, Zijun Gao, Jose Blanchet et al.

Optimizing Distributional Geometry Alignment with Optimal Transport for Generative Dataset Distillation

Xiao Cui, Yulei Qin, Wengang Zhou et al.

A Novel Skip Orthogonal List for Dynamic Optimal Transport Problem

Efficient Training-Free Online Routing for High-Volume Multi-LLM Serving

Fangzhou Wu, Sandeep Silwal

Learning Structured Representations by Embedding Class Hierarchy with Fast Optimal Transport

Siqi Zeng, Sixian Du, Makoto Yamada et al.

Optimal Flow Transport and its Entropic Regularization: a GPU-friendly Matrix Iterative Algorithm for Flow Balance Satisfaction

Liangliang Shi, Yufeng Li, Kaipeng Zeng et al.

Finally Rank-Breaking Conquers MNL Bandits: Optimal and Efficient Algorithms for MNL Assortment

Aadirupa Saha, Pierre Gaillard

Continual Optimization with Symmetry Teleportation for Multi-Task Learning

Zhipeng Zhou, Ziqiao Meng, Pengcheng Wu et al.

Transfer Faster, Price Smarter: Minimax Dynamic Pricing under Cross-Market Preference Shift

Yi Zhang, Elynn Chen, Yujun Yan

Optimal Transport with Cyclic Symmetry

Shoichiro Takeda, Yasunori Akagi, Naoki Marumo et al.

Counterfactual Identifiability via Dynamic Optimal Transport

Fabio De Sousa Ribeiro, Ainkaran Santhirasekaram, Ben Glocker

Feature Distribution Matching by Optimal Transport for Effective and Robust Coreset Selection

Tree-Sliced Entropy Partial Transport

Viet-Hoang Tran, Thanh Tran, Thanh Chu et al.

Estimation of Stochastic Optimal Transport Maps

Sloan Nietert, Ziv Goldfeld

Continual Unsupervised Generative Modelling via Online Optimal Transport

Fei Ye, Adrian G. Bors, Kun Zhang

Hierarchical Optimization via LLM-Guided Objective Evolution for Mobility-on-Demand Systems

Yi Zhang, Yushen Long, Yun Ni et al.

Pairwise Optimal Transports for Training All-to-All Flow-Based Condition Transfer Model

Kotaro Ikeda, Masanori Koyama, Jinzhe Zhang et al.

Stochastic Optimization in Semi-Discrete Optimal Transport: Convergence Analysis and Minimax Rate

Ferdinand Genans, Antoine Godichon-Baggioni, François-Xavier Vialard et al.

Targeted Maximum Likelihood Learning: An Optimization Perspective

Diyang Li, Kyra Gan

Improved Confidence Regions and Optimal Algorithms for Online and Offline Linear MNL Bandits

Yuxuan Han, Jose Blanchet, Zhengyuan Zhou

Hypergraph Learning for Unsupervised Graph Alignment via Optimal Transport

Yuguang Yan, Canlin Yang, Yuanlin Chen et al.

Cross-Domain Offline Policy Adaptation with Optimal Transport and Dataset Constraint

Jiafei Lyu, Mengbei Yan, Zhongjian Qiao et al.

Unbalanced Optimal Total Variation Transport: A Theoretical Approach to Spatial Resource Allocation Problems

Nhan-Phu Chung, Jinhui Han, Bohan Li et al.

Non-exchangeable Conformal Prediction with Optimal Transport: Tackling Distribution Shift with Unlabeled Data

Alvaro Correia, Christos Louizos

Unsupervised Gene-Cell Collective Representation Learning with Optimal Transport

Jixiang Yu, Nanjun Chen, Ming Gao et al.

MMD-Regularized Unbalanced Optimal Transport

SakethaNath Jagarlapudi, Pratik Jawanpuria, Piyushi Manupriya

GiLOT: Interpreting Generative Language Models via Optimal Transport

Xuhong Li, Jiamin Chen, Yekun Chai et al.

LaCoOT: Layer Collapse through Optimal Transport

Victor Quétu, Zhu LIAO, Nour Hezbri et al.

One for all and all for one: Efficient computation of partial Wasserstein distances on the line

Laetitia Chapel, Romain Tavenard

Intra- and Inter-group Optimal Transport for User-Oriented Fairness in Recommender Systems

Zhongxuan Han, Chaochao Chen, Xiaolin Zheng et al.

An Optimal Transport-based Latent Mixer for Robust Multi-modal Learning

Fengjiiao Gong, Angxiao Yue, Hongteng Xu

Visual Prompting via Partial Optimal Transport

MENGYU ZHENG, Zhiwei Hao, Yehui Tang et al.

Optimal Transport for Brain-Image Alignment: Unveiling Redundancy and Synergy in Neural Information Processing

Yang Xiao, Wang Lu, Jie Ji et al.

Joint Metric Space Embedding by Unbalanced Optimal Transport with Gromov–Wasserstein Marginal Penalization

Florian Beier, Moritz Piening, Robert Beinert et al.

The Sparse-Plus-Low-Rank Quasi-Newton Method for Entropic-Regularized Optimal Transport

Chenrui Wang, Yixuan Qiu

Reducing Confounding Bias without Data Splitting for Causal Inference via Optimal Transport

Yuguang Yan, Zongyu Li, Haolin Yang et al.