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We address the computational and theoretical limitations of current distributional alignment methods for source-free unsupervised domain adaptation (SFUDA) using source class-mean features. In particular, we focus on estimating…

机器学习 · 计算机科学 2026-04-30 Yiming Zhang , Sitong Liu , Alex Cloninger

Optimal Transport (OT) has proven effective for domain adaptation (DA) by aligning distributions across domains with differing statistical properties. Building on the approach of Courty et al. (2016), who mapped source data to the target…

机器学习 · 统计学 2025-05-15 Brian Britos , Mathias Bourel

Optimal transport (OT) finds a least cost transport plan between two probability distributions using a cost matrix defined on pairs of points. Unlike standard OT, which infers unstructured pointwise mappings, low-rank optimal transport…

机器学习 · 计算机科学 2026-03-05 Henri Schmidt , Peter Halmos , Ben Raphael

Learning with noisy labels (LNL) poses a significant challenge in training a well-generalized model while avoiding overfitting to corrupted labels. Recent advances have achieved impressive performance by identifying clean labels and…

计算机视觉与模式识别 · 计算机科学 2023-12-12 Wanxing Chang , Ye Shi , Jingya Wang

Optimal transport (OT) is a powerful geometric tool for comparing two distributions and has been employed in various machine learning applications. In this work, we propose a novel OT formulation that takes feature correlations into account…

机器学习 · 计算机科学 2021-10-08 Pratik Jawanpuria , N T V Satyadev , Bamdev Mishra

We introduce optimal transport (OT) as a physics-based intermediate event representation for weakly supervised anomaly detection. With only $0.5\%$ injection of resonant signals in the LHC Olympics benchmark datasets, the OT-augmented…

高能物理 - 唯象学 · 物理学 2026-03-20 Tianji Cai , Aditya Bhargava , Benjamin Nachman

Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applications impose elementwise constraints on the transport plan…

最优化与控制 · 数学 2022-06-28 Zixuan Cang , Qing Nie , Yanxiang Zhao

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer science community due to its potency and relevance in modeling and machine learning. It introduces means that serve as powerful ways to compare…

机器学习 · 计算机科学 2021-06-04 Luis Caicedo Torres , Luiz Manella Pereira , M. Hadi Amini

With the advent of large datasets, offline reinforcement learning (RL) is a promising framework for learning good decision-making policies without the need to interact with the real environment. However, offline RL requires the dataset to…

机器学习 · 计算机科学 2023-03-27 Yicheng Luo , Zhengyao Jiang , Samuel Cohen , Edward Grefenstette , Marc Peter Deisenroth

It is common in computer vision to be confronted with domain shift: images which have the same class but different acquisition conditions. In domain adaptation (DA), one wants to classify unlabeled target images using source labeled images.…

计算机视觉与模式识别 · 计算机科学 2022-06-23 Kilian Fatras , Hiroki Naganuma , Ioannis Mitliagkas

We develop a fast and reliable method for solving large-scale optimal transport (OT) problems at an unprecedented combination of speed and accuracy. Built on the celebrated Douglas-Rachford splitting technique, our method tackles the…

最优化与控制 · 数学 2021-10-25 Vien V. Mai , Jacob Lindbäck , Mikael Johansson

We address the convergence problem in learning the Optimal Transport (OT) map, where the OT Map refers to a map from one distribution to another while minimizing the transport cost. Semi-dual Neural OT, a widely used approach for learning…

机器学习 · 计算机科学 2026-02-03 Jaemoo Choi , Jaewoong Choi , Dohyun Kwon

Given a $d$-dimensional continuous (resp. discrete) probability distribution $\mu$ and a discrete distribution $\nu$, the semi-discrete (resp. discrete) Optimal Transport (OT) problem asks for computing a minimum-cost plan to transport mass…

计算几何 · 计算机科学 2023-11-07 Pankaj K. Agarwal , Sharath Raghvendra , Pouyan Shirzadian , Keegan Yao

Optimal transport distances (OT) have been widely used in recent work in Machine Learning as ways to compare probability distributions. These are costly to compute when the data lives in high dimension. Recent work by Paty et al., 2019,…

机器学习 · 计算机科学 2021-11-10 Patric M. Fulop , Vincent Danos

This thesis examines self-attention training through the lens of Optimal Transport (OT) and develops an OT-based alternative for tabular classification. The study tracks intermediate projections of the self-attention layer during training…

机器学习 · 统计学 2026-02-19 Alessandro Quadrio , Antonio Candelieri

Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution. Recently, several approaches have emerged for learning the optimal transport map for a given cost…

机器学习 · 计算机科学 2025-04-01 Jaemoo Choi , Yongxin Chen , Jaewoong Choi

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

最优化与控制 · 数学 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

We propose a novel approach based on optimal transport (OT) for tackling the problem of highly mixed data in blind hyperspectral unmixing. Our method constrains the distribution of the estimated abundance matrix to resemble a targeted…

图像与视频处理 · 电气工程与系统科学 2025-09-26 D. Doutsas , B. Figliuzzi

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another in the most efficient way possible by minimizing a specified…

统计理论 · 数学 2025-06-25 Sivaraman Balakrishnan , Tudor Manole , Larry Wasserman

Optimal transport (OT) is a framework that can be used to guide the optimal allocation of a limited amount of resources. The classical OT paradigm does not consider malicious attacks in its formulation and thus the designed transport plan…

系统与控制 · 电气工程与系统科学 2021-06-15 Jason Hughes , Juntao Chen