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Autoregressive sampling from large language models has led to state-of-the-art results in several natural language tasks. However, autoregressive sampling generates tokens one at a time making it slow, and even prohibitive in certain tasks.…

Machine Learning · Computer Science 2024-01-19 Ziteng Sun , Ananda Theertha Suresh , Jae Hun Ro , Ahmad Beirami , Himanshu Jain , Felix Yu

The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning. In this paper, we focus on circular probability measures, i.e.,…

Machine Learning · Computer Science 2023-10-11 Rocio Diaz Martin , Ivan Medri , Yikun Bai , Xinran Liu , Kangbai Yan , Gustavo K. Rohde , Soheil Kolouri

In past work on fairness in machine learning, the focus has been on forcing the prediction of classifiers to have similar statistical properties for people of different demographics. To reduce the violation of these properties, fairness…

Machine Learning · Computer Science 2022-12-02 Maarten Buyl , Tijl De Bie

Optimal Transport (OT) has recently emerged as a central tool in data sciences to compare in a geometrically faithful way point clouds and more generally probability distributions. The wide adoption of OT into existing data analysis and…

Machine Learning · Statistics 2023-01-18 Thibault Séjourné , Gabriel Peyré , François-Xavier Vialard

Our work reveals a structured shortcoming of the existing mainstream self-supervised learning methods. Whereas self-supervised learning frameworks usually take the prevailing perfect instance level invariance hypothesis for granted, we…

Machine Learning · Computer Science 2021-12-16 Yu Wang , Jingyang Lin , Jingjing Zou , Yingwei Pan , Ting Yao , Tao Mei

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…

Machine Learning · Computer Science 2026-03-05 Henri Schmidt , Peter Halmos , Ben Raphael

Structured pruning is a commonly used technique in deploying deep neural networks (DNNs) onto resource-constrained devices. However, the existing pruning methods are usually heuristic, task-specified, and require an extra fine-tuning…

Machine Learning · Computer Science 2021-11-15 Tianyi Chen , Bo Ji , Tianyu Ding , Biyi Fang , Guanyi Wang , Zhihui Zhu , Luming Liang , Yixin Shi , Sheng Yi , Xiao Tu

Mini-batch optimal transport (m-OT) has been widely used recently to deal with the memory issue of OT in large-scale applications. Despite their practicality, m-OT suffers from misspecified mappings, namely, mappings that are optimal on the…

Machine Learning · Statistics 2022-06-08 Khai Nguyen , Dang Nguyen , The-Anh Vu-Le , Tung Pham , Nhat Ho

To deploy machine learning models in the real world, researchers have proposed many OOD detection algorithms to help models identify unknown samples during the inference phase and prevent them from making untrustworthy predictions. Unlike…

Machine Learning · Computer Science 2025-02-25 Heng Gao , Zhuolin He , Jian Pu

Optimal Transport (OT) based distances are powerful tools for machine learning to compare probability measures and manipulate them using OT maps. In this field, a setting of interest is semi-discrete OT, where the source measure $\mu$ is…

Semidiscrete optimal transport is a challenging generalization of the classical transportation problem in linear programming. The goal is to design a joint distribution for two random variables (one continuous, one discrete) with fixed…

Econometrics · Economics 2026-01-22 Yinchu Zhu , Ilya O. Ryzhov

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

Under the prevalent potential outcome model in causal inference, each unit is associated with multiple potential outcomes but at most one of which is observed, leading to many causal quantities being only partially identified. The inherent…

Methodology · Statistics 2024-09-16 Zijun Gao , Shu Ge , Jian Qian

Unsupervised domain adaptation (UDA) aims to estimate a transferable model for unlabeled target domains by exploiting labeled source data. Optimal Transport (OT) based methods have recently been proven to be a promising solution for UDA…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Yingxue Xu , Guihua Wen , Yang Hu , Pei Yang

Optimal transport (OT) has profoundly impacted machine learning by providing theoretical and computational tools to realign datasets. In this context, given two large point clouds of sizes $n$ and $m$ in $\mathbb{R}^d$, entropic OT (EOT)…

With elementary means, we prove a stronger run time guarantee for the univariate marginal distribution algorithm (UMDA) optimizing the LeadingOnes benchmark function in the desirable regime with low genetic drift. If the population size is…

Neural and Evolutionary Computing · Computer Science 2020-04-13 Benjamin Doerr , Martin Krejca

Neural networks that are trained on limited category samples often mispredict out-of-distribution (OOD) objects. We observe that features of the same category are more tightly clustered in feature space, while those of different categories…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Junkun Chen , Jilin Mei , Liang Chen , Fangzhou Zhao , Yan Xing , Yu Hu

Optimal transport (OT) is a widely used technique in machine learning, graphics, and vision that aligns two distributions or datasets using their relative geometry. In symmetry-rich settings, however, OT alignments based solely on pairwise…

Machine Learning · Computer Science 2025-09-26 Annabel Ma , Kaiying Hou , David Alvarez-Melis , Melanie Weber

Short text clustering has gained significant attention in the data mining community. However, the limited valuable information contained in short texts often leads to low-discriminative representations, increasing the difficulty of…

Machine Learning · Computer Science 2026-03-16 Zhihao Yao

Optimal transport (OT) has an important role in transforming data distributions in a manner which engenders fairness. Typically, the OT operators are learnt from the unfair attribute-labelled data, and then used for their repair. Two…

Machine Learning · Computer Science 2026-03-11 Abigail Langbridge , Anthony Quinn , Robert Shorten