🧬Theory

Optimal Transport

Optimal transport in ML

100 papers1,590 total citations
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Feb '24 Jan '26515 papers
Also includes: optimal transport, wasserstein, earth mover distance, sinkhorn

Top Papers

#1

One-step Diffusion with Distribution Matching Distillation

Tianwei Yin, Michaël Gharbi, Richard Zhang et al.

CVPR 2024
543
citations
#2

Optimal Transport Aggregation for Visual Place Recognition

Sergio Izquierdo, Javier Civera

CVPR 2024
138
citations
#3

Decomposed Diffusion Sampler for Accelerating Large-Scale Inverse Problems

Hyungjin Chung, Suhyeon Lee, Jong Chul YE

ICLR 2024
116
citations
#4

GraphRouter: A Graph-based Router for LLM Selections

Tao Feng, Yanzhen Shen, Jiaxuan You

ICLR 2025arXiv:2410.03834
llm selectionheterogeneous graph constructioninductive graph frameworkedge prediction mechanism+3
77
citations
#5

Offline Actor-Critic for Average Reward MDPs

William Powell, Jeongyeol Kwon, Qiaomin Xie et al.

NeurIPS 2025
offline policy optimizationaverage-reward mdpspessimistic actor-criticlinear function approximation+3
73
citations
#6

NETS: A Non-equilibrium Transport Sampler

Michael Albergo, Eric Vanden-Eijnden

ICML 2025
46
citations
#7

Energy-guided Entropic Neural Optimal Transport

Petr Mokrov, Alexander Korotin, Alexander Kolesov et al.

ICLR 2024
27
citations
#8

Multi-Class Support Vector Machine with Maximizing Minimum Margin

Feiping Nie, Zhezheng Hao, Rong Wang

AAAI 2024arXiv:2312.06578
support vector machinemulti-class classificationmargin maximizationpairwise class loss+3
25
citations
#9

SimPER: A Minimalist Approach to Preference Alignment without Hyperparameters

Teng Xiao, Yige Yuan, Zhengyu Chen et al.

ICLR 2025arXiv:2502.00883
preference optimizationlanguage model alignmenthyperparameter-free traininginverse perplexity+2
23
citations
#10

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

Xiao Cui, Mo Zhu, Yulei Qin et al.

AAAI 2025
22
citations
#11

Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs

Kejun Tang, Jiayu Zhai, Xiaoliang Wan et al.

ICLR 2024
19
citations
#12

Traffic Flow Optimisation for Lifelong Multi-Agent Path Finding

Zhe Chen, Daniel Harabor, Jiaoyang Li et al.

AAAI 2024arXiv:2308.11234
multi-agent path findingtraffic flow optimizationcollision-free path planningcongestion avoidance+4
18
citations
#13

Optimal Transport for Time Series Imputation

Hao Wang, zhengnan li, Haoxuan Li et al.

ICLR 2025
17
citations
#14

BEST-Route: Adaptive LLM Routing with Test-Time Optimal Compute

Dujian Ding, Ankur Mallick, Shaokun Zhang et al.

ICML 2025
16
citations
#15

Apollo-MILP: An Alternating Prediction-Correction Neural Solving Framework for Mixed-Integer Linear Programming

Haoyang Liu, Jie Wang, Zijie Geng et al.

ICLR 2025arXiv:2503.01129
mixed-integer linear programmingneural solving frameworktrust-region searchproblem reduction+4
15
citations
#16

Optimal transport-based conformal prediction

Gauthier Thurin, Kimia Nadjahi, Claire Boyer

ICML 2025
14
citations
#17

Unsupervised Cross-Domain Image Retrieval via Prototypical Optimal Transport

Bin Li, Ye Shi, Qian Yu et al.

AAAI 2024arXiv:2402.18411
unsupervised image retrievalcross-domain alignmentoptimal transportprototype learning+4
13
citations
#18

Pareto Deep Long-Tailed Recognition: A Conflict-Averse Solution

Zhipeng Zhou, Liu Liu, Peilin Zhao et al.

ICLR 2024
12
citations
#19

Minimum-Norm Interpolation Under Covariate Shift

Neil Mallinar, Austin Zane, Spencer Frei et al.

ICML 2024
transfer learningcovariate shiftbenign overfittinglinear interpolation+3
12
citations
#20

Neural Sampling from Boltzmann Densities: Fisher-Rao Curves in the Wasserstein Geometry

Jannis Chemseddine, Christian Wald, Richard Duong et al.

ICLR 2025
11
citations
#21

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

Tung Le, Khai Nguyen, Shanlin Sun et al.

CVPR 2024
10
citations
#22

Fast training and sampling of Restricted Boltzmann Machines

Nicolas BEREUX, Aurélien Decelle, Cyril Furtlehner et al.

ICLR 2025
10
citations
#23

The ML.ENERGY Benchmark: Toward Automated Inference Energy Measurement and Optimization

Jae-Won Chung, Jeff J. Ma, Ruofan Wu et al.

NeurIPS 2025arXiv:2505.06371
inference energy consumptionenergy measurement benchmarkgenerative ai servicesautomated optimization recommendations+2
10
citations
#24

PowerMLP: An Efficient Version of KAN

Ruichen Qiu, Yibo Miao, Shiwen Wang et al.

AAAI 2025
9
citations
#25

Efficient Alternating Minimization with Applications to Weighted Low Rank Approximation

Zhao Song, Mingquan Ye, Junze Yin et al.

ICLR 2025arXiv:2306.04169
weighted low rank approximationalternating minimizationmatrix completionhadamard product+2
9
citations
#26

InPO: Inversion Preference Optimization with Reparametrized DDIM for Efficient Diffusion Model Alignment

Yunhong Lu, Qichao Wang, Hengyuan Cao et al.

CVPR 2025
9
citations
#27

Offline-to-Online Hyperparameter Transfer for Stochastic Bandits

Dravyansh Sharma, Arun Suggala

AAAI 2025
8
citations
#28

SimulPL: Aligning Human Preferences in Simultaneous Machine Translation

Donglei Yu, Yang Zhao, Jie Zhu et al.

ICLR 2025
8
citations
#29

Improved Metric Distortion via Threshold Approvals

Elliot Anshelevich, Aris Filos-Ratsikas, Christopher Jerrett et al.

AAAI 2024arXiv:2305.14024
metric distortionsocial choice theoryapproval votingdeterministic mechanisms+4
8
citations
#30

Distance-Based Tree-Sliced Wasserstein Distance

Viet-Hoang Tran, Minh-Khoi Nguyen-Nhat, Trang Pham et al.

ICLR 2025
7
citations
#31

LEAD: Exploring Logit Space Evolution for Model Selection

Zixuan Hu, Xiaotong Li, SHIXIANG TANG et al.

CVPR 2024
7
citations
#32

Universal generalization guarantees for Wasserstein distributionally robust models

Tam Le, Jerome Malick

ICLR 2025arXiv:2402.11981
distributionally robust optimizationwasserstein distancegeneralization guaranteesparametric loss functions+3
7
citations
#33

Diffeomorphic Mesh Deformation via Efficient Optimal Transport for Cortical Surface Reconstruction

Thanh-Tung Le, Khai Nguyen, shanlin sun et al.

ICLR 2024
7
citations
#34

Two-timescale Extragradient for Finding Local Minimax Points

Jiseok Chae, Kyuwon Kim, Donghwan Kim

ICLR 2024
7
citations
#35

Variational Regularized Unbalanced Optimal Transport: Single Network, Least Action

Yuhao Sun, Zhenyi Zhang, Zihan Wang et al.

NeurIPS 2025arXiv:2505.11823
optimal transportschrödinger bridgevariational inferenceunbalanced distributions+4
7
citations
#36

Towards Stable and Storage-efficient Dataset Distillation: Matching Convexified Trajectory

Wenliang Zhong, Haoyu Tang, Qinghai Zheng et al.

CVPR 2025
7
citations
#37

Flowing Datasets with Wasserstein over Wasserstein Gradient Flows

Clément Bonet, Christophe Vauthier, Anna Korba

ICML 2025
6
citations
#38

Analyzing and Improving Optimal-Transport-based Adversarial Networks

Jaemoo Choi, Jaewoong Choi, Myungjoo Kang

ICLR 2024
6
citations
#39

Time Fairness in Online Knapsack Problems

Adam Lechowicz, Rik Sengupta, Bo Sun et al.

ICLR 2024
6
citations
#40

Entropy-MCMC: Sampling from Flat Basins with Ease

Bolian Li, Ruqi Zhang

ICLR 2024
6
citations
#41

Momentum Multi-Marginal Schrödinger Bridge Matching

Panagiotis Theodoropoulos, Augustinos Saravanos, Evangelos Theodorou et al.

NeurIPS 2025arXiv:2506.10168
schrödinger bridge matchingmulti-marginal optimal controlmeasure-valued splinesstochastic bridges+4
6
citations
#42

Probability-Polarized Optimal Transport for Unsupervised Domain Adaptation

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

AAAI 2024
6
citations
#43

Enhancing Privacy-Utility Trade-offs to Mitigate Memorization in Diffusion Models

Chen Chen, Daochang Liu, Mubarak Shah et al.

CVPR 2025
6
citations
#44

Optimizing ADMM and Over-Relaxed ADMM Parameters for Linear Quadratic Problems

Song Jintao, Wenqi Lu, Yunwen Lei et al.

AAAI 2024arXiv:2401.00657
admm parameter optimizationover-relaxation techniquelinear quadratic problemspenalty parameter selection+3
6
citations
#45

E2E-AT: A Unified Framework for Tackling Uncertainty in Task-Aware End-to-End Learning

8445 Wangkun Xu, Jianhong Wang, Fei Teng

AAAI 2024arXiv:2312.10587
end-to-end learningconstrained optimizationadversarial trainingrobust optimization+4
5
citations
#46

Many-Objective Multi-Solution Transport

Ziyue Li, Tian Li, Virginia Smith et al.

ICLR 2025
5
citations
#47

Flavors of Margin: Implicit Bias of Steepest Descent in Homogeneous Neural Networks

Nikolaos Tsilivis, Gal Vardi, Julia Kempe

ICLR 2025
5
citations
#48

Accelerating 3D Molecule Generation via Jointly Geometric Optimal Transport

Haokai Hong, Wanyu LIN, KC Tan

ICLR 2025arXiv:2405.15252
3d molecule generationgeometric optimal transportflow-matching objectiveequivariant networks+3
5
citations
#49

uniINF: Best-of-Both-Worlds Algorithm for Parameter-Free Heavy-Tailed MABs

Yu Chen, Jiatai Huang, Yan Dai et al.

ICLR 2025
5
citations
#50

POT: Prototypical Optimal Transport for Weakly Supervised Semantic Segmentation

Jian Wang, Tianhong Dai, Bingfeng Zhang et al.

CVPR 2025
5
citations
#51

Expected Sliced Transport Plans

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

ICLR 2025
5
citations
#52

Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport

Milena Gazdieva, Jaemoo Choi, Alexander Kolesov et al.

ICLR 2025
5
citations
#53

Stationary Representations: Optimally Approximating Compatibility and Implications for Improved Model Replacements

Niccolò Biondi, Federico Pernici, Simone Ricci et al.

CVPR 2024
5
citations
#54

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.

ICLR 2025
5
citations
#55

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

Qi Zhang, Kaiyi Zhang, Antoni Chan et al.

ECCV 2024
5
citations
#56

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

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

AAAI 2024arXiv:2312.13970
partial optimal transportunbalanced measuressinkhorn algorithmgradient descent methods+4
5
citations
#57

From Alexnet to Transformers: Measuring the Non-linearity of Deep Neural Networks with Affine Optimal Transport

Quentin Bouniot, Ievgen Redko, Anton Mallasto et al.

CVPR 2025
5
citations
#58

Effectiveness of Constant Stepsize in Markovian LSA and Statistical Inference

Dongyan Huo, Yudong Chen, Qiaomin Xie

AAAI 2024arXiv:2312.10894
linear stochastic approximationmarkovian dataconstant stepsizestatistical inference+4
4
citations
#59

Metamizer: A Versatile Neural Optimizer for Fast and Accurate Physics Simulations

Nils Wandel, Stefan Schulz, Reinhard Klein

ICLR 2025
4
citations
#60

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

Mingyang Sun, Pengxiang Ding, Weinan Zhang et al.

ICML 2025
4
citations
#61

Lightspeed Geometric Dataset Distance via Sliced Optimal Transport

Khai Nguyen, Hai Nguyen, Tuan Pham et al.

ICML 2025
4
citations
#62

Flow-based Variational Mutual Information: Fast and Flexible Approximations

Caleb Dahlke, Jason Pacheco

ICLR 2025
4
citations
#63

Optimal Spectral Transitions in High-Dimensional Multi-Index Models

Leonardo Defilippis, Yatin Dandi, Pierre Mergny et al.

NeurIPS 2025
4
citations
#64

Causal LLM Routing: End-to-End Regret Minimization from Observational Data

Asterios Tsiourvas, Wei Sun, Georgia Perakis

NeurIPS 2025
4
citations
#65

INS-MMBench: A Comprehensive Benchmark for Evaluating LVLMs' Performance in Insurance

Chenwei Lin, Hanjia Lyu, Xian Xu et al.

ICCV 2025
4
citations
#66

Exploiting Geometry for Treatment Effect Estimation via Optimal Transport

Yuguang Yan, Zeqin Yang, Weilin Chen et al.

AAAI 2024
4
citations
#67

Universal Approximation of Mean-Field Models via Transformers

Shiba Biswal, Karthik Elamvazhuthi, Rishi Sonthalia

ICML 2025
3
citations
#68

LancBiO: Dynamic Lanczos-aided Bilevel Optimization via Krylov Subspace

Yan Yang, Bin Gao, Ya-xiang Yuan

ICLR 2025
3
citations
#69

Implicit Riemannian Optimism with Applications to Min-Max Problems

Christophe Roux, David Martinez-Rubio, Sebastian Pokutta

ICML 2025
3
citations
#70

Hierarchical Refinement: Optimal Transport to Infinity and Beyond

Peter Halmos, Julian Gold, Xinhao Liu et al.

ICML 2025
3
citations
#71

Approximation algorithms for combinatorial optimization with predictions

Antonios Antoniadis, Marek Elias, Adam Polak et al.

ICLR 2025arXiv:2411.16600
approximation algorithmscombinatorial optimizationprediction-augmented algorithmsonline algorithms with predictions+4
3
citations
#72

Improving Generalization of Neural Combinatorial Optimization for Vehicle Routing Problems via Test-Time Projection Learning

Yuanyao Chen, Rongsheng Chen, Fu Luo et al.

NeurIPS 2025arXiv:2506.02392
neural combinatorial optimizationvehicle routing problemsdistributional shifttest-time adaptation+4
3
citations
#73

A Unified Framework for the Transportability of Population-Level Causal Measures

Ahmed Boughdiri, Clément Berenfeld, Julie Josse et al.

NeurIPS 2025
3
citations
#74

Towards Stabilized and Efficient Diffusion Transformers through Long-Skip-Connections with Spectral Constraints

Guanjie Chen, Xinyu Zhao, Yucheng Zhou et al.

ICCV 2025
3
citations
#75

Optimistic Query Routing in Clustering-based Approximate Maximum Inner Product Search

Sebastian Bruch, Aditya Krishnan, Franco Maria Nardini

NeurIPS 2025arXiv:2405.12207
maximum inner product searchclustering-based indexingquery routingsequential decision making+3
3
citations
#76

Decoupling Training-Free Guided Diffusion by ADMM

Youyuan Zhang, Zehua Liu, Zenan Li et al.

CVPR 2025
3
citations
#77

Optimising Spatial Teamwork Under Uncertainty

Gregory Everett, Ryan J. Beal, Tim Matthews et al.

AAAI 2025
2
citations
#78

Out-of-distribution Generalization for Total Variation based Invariant Risk Minimization

Yuanchao Wang, Zhao-Rong Lai, Tianqi Zhong

ICLR 2025arXiv:2502.19665
invariant risk minimizationout-of-distribution generalizationtotal variation modelprimal-dual optimization+2
2
citations
#79

Langevin Monte Carlo Beyond Lipschitz Gradient Continuity

Matej Benko, Iwona Chlebicka, Jorgen Endal et al.

AAAI 2025
2
citations
#80

Efficient Diffusion Models for Symmetric Manifolds

Oren Mangoubi, Neil He, Nisheeth K. Vishnoi

ICML 2025
2
citations
#81

Differentiable Quadratic Optimization For the Maximum Independent Set Problem

Ismail Alkhouri, Cedric Le Denmat, Yingjie Li et al.

ICML 2025
2
citations
#82

Prices, Bids, Values: One ML-Powered Combinatorial Auction to Rule Them All

Ermis Soumalias, Jakob Heiss, Jakob Weissteiner et al.

ICML 2025
2
citations
#83

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

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

ICLR 2025
2
citations
#84

Fast unsupervised ground metric learning with tree-Wasserstein distance

Kira Michaela Düsterwald, Samo Hromadka, Makoto Yamada

ICLR 2025
2
citations
#85

Can Neural Networks Achieve Optimal Computational-statistical Tradeoff? An Analysis on Single-Index Model

Siyu Chen, Beining Wu, Miao Lu et al.

ICLR 2025
2
citations
#86

Improving Diffusion-based Inverse Algorithms under Few-Step Constraint via Linear Extrapolation

Jiawei Zhang, Ziyuan Liu, Leon Yan et al.

NeurIPS 2025
2
citations
#87

Stable Matching with Ties: Approximation Ratios and Learning

Shiyun Lin, Simon Mauras, Nadav Merlis et al.

NeurIPS 2025arXiv:2411.03270
stable matchingmatching marketspreference tiesutility maximization+3
2
citations
#88

A High-Dimensional Statistical Method for Optimizing Transfer Quantities in Multi-Source Transfer Learning

Qingyue Zhang, Haohao Fu, Guanbo Huang et al.

NeurIPS 2025
2
citations
#89

Stabilizing Backpropagation Through Time to Learn Complex Physics

Patrick Schnell, Nils Thuerey

ICLR 2024
2
citations
#90

On the Provable Separation of Scales in Maximal Update Parameterization

Letong Hong, Zhangyang “Atlas” Wang

ICML 2025
2
citations
#91

Treatment Effect Estimation for Optimal Decision-Making

Dennis Frauen, Valentyn Melnychuk, Jonas Schweisthal et al.

NeurIPS 2025arXiv:2505.13092
treatment effect estimationconditional average treatment effectsoptimal decision-makingtwo-stage estimators+4
2
citations
#92

Learning-Augmented Online Algorithm for Two-Level Ski-Rental Problem

Keyuan Zhang, Zhongdong Liu, Nakjung Choi et al.

AAAI 2024arXiv:2402.06715
ski-rental problemonline algorithmslearning-augmented algorithmsworst-case guarantees+3
2
citations
#93

Balanced Rate-Distortion Optimization in Learned Image Compression

Yichi Zhang, Zhihao Duan, Yuning Huang et al.

CVPR 2025
2
citations
#94

Derivative-Free Diffusion Manifold-Constrained Gradient for Unified XAI

Won Jun Kim, Hyungjin Chung, Jaemin Kim et al.

CVPR 2025
2
citations
#95

Neural Network Approximators for Marginal MAP in Probabilistic Circuits

Shivvrat Arya, Tahrima Rahman, Vibhav Gogate

AAAI 2024arXiv:2402.03621
probabilistic circuitsmarginal map inferenceneural network approximatorssum-product networks+4
2
citations
#96

Monte-Carlo Tree Search with Uncertainty Propagation via Optimal Transport

Tuan Dam, Pascal Stenger, Lukas Schneider et al.

ICML 2025
2
citations
#97

Approximate Bilevel Difference Convex Programming for Bayesian Risk Markov Decision Processes

Yifan Lin, Enlu Zhou

AAAI 2025
1
citations
#98

Differential Private Stochastic Optimization with Heavy-tailed Data: Towards Optimal Rates

Puning Zhao, Jiafei Wu, Zhe Liu et al.

AAAI 2025
1
citations
#99

Binary Losses for Density Ratio Estimation

Werner Zellinger

ICLR 2025
1
citations
#100

Continual Optimization with Symmetry Teleportation for Multi-Task Learning

Zhipeng Zhou, Ziqiao Meng, Pengcheng Wu et al.

NeurIPS 2025
1
citations