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We propose a novel Wasserstein method with a distillation mechanism, yielding joint learning of word embeddings and topics. The proposed method is based on the fact that the Euclidean distance between word embeddings may be employed as the…

机器学习 · 计算机科学 2018-09-14 Hongteng Xu , Wenlin Wang , Wei Liu , Lawrence Carin

Disentangling polysemantic neurons is at the core of many current approaches to interpretability of large language models. Here we attempt to study how disentanglement can be used to understand performance, particularly under weight…

机器学习 · 计算机科学 2025-02-27 Shashata Sawmya , Linghao Kong , Ilia Markov , Dan Alistarh , Nir Shavit

Self-supervised Learning (SSL) including the mainstream contrastive learning has achieved great success in learning visual representations without data annotations. However, most methods mainly focus on the instance level information (\ie,…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Mingkai Zheng , Shan You , Fei Wang , Chen Qian , Changshui Zhang , Xiaogang Wang , Chang Xu

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

机器学习 · 统计学 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

This paper presents miCSE, a mutual information-based contrastive learning framework that significantly advances the state-of-the-art in few-shot sentence embedding. The proposed approach imposes alignment between the attention pattern of…

计算与语言 · 计算机科学 2023-05-24 Tassilo Klein , Moin Nabi

Sequential recommendation addresses the issue of preference drift by predicting the next item based on the user's previous behaviors. Recently, a promising approach using contrastive learning has emerged, demonstrating its effectiveness in…

信息检索 · 计算机科学 2023-08-08 Dongjun Lee , Donggeun Ko , Jaekwang Kim

Recently, the importance of analysing data and collecting valuable insight efficiently has been increasing in various fields. Estimating mutual information (MI) plays a critical role to investigate the relationship among multiple random…

量子物理 · 物理学 2025-03-10 Yota Maeda , Hideaki Kawaguchi , Hiroyuki Tezuka

Multi-marginal optimal transport enables one to compare multiple probability measures, which increasingly finds application in multi-task learning problems. One practical limitation of multi-marginal transport is computational scalability…

Self-supervised learning (SSL) is now a serious competitor for supervised learning, even though it does not require data annotation. Several baselines have attempted to make SSL models exploit information about data distribution, and less…

计算机视觉与模式识别 · 计算机科学 2023-07-04 Salman Mohamadi , Gianfranco Doretto , Donald A. Adjeroh

We study the robust quickest change detection under unknown pre- and post-change distributions. To deal with uncertainties in the data-generating distributions, we formulate two data-driven ambiguity sets based on the Wasserstein distance,…

统计理论 · 数学 2022-04-28 Liyan Xie

The Wasserstein distance has emerged as a key metric to quantify distances between probability distributions, with applications in various fields, including machine learning, control theory, decision theory, and biological systems.…

机器学习 · 计算机科学 2026-02-10 Eduardo Figueiredo , Steven Adams , Luca Laurenti

Existing approaches to depth or disparity estimation output a distribution over a set of pre-defined discrete values. This leads to inaccurate results when the true depth or disparity does not match any of these values. The fact that this…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Divyansh Garg , Yan Wang , Bharath Hariharan , Mark Campbell , Kilian Q. Weinberger , Wei-Lun Chao

Self-supervised Learning (SSL) including the mainstream contrastive learning has achieved great success in learning visual representations without data annotations. However, most of methods mainly focus on the instance level information…

计算机视觉与模式识别 · 计算机科学 2021-07-26 Mingkai Zheng , Shan You , Fei Wang , Chen Qian , Changshui Zhang , Xiaogang Wang , Chang Xu

Wasserstein distributionally robust optimization (WDRO) attempts to learn a model that minimizes the local worst-case risk in the vicinity of the empirical data distribution defined by Wasserstein ball. While WDRO has received attention as…

机器学习 · 统计学 2020-06-23 Yongchan Kwon , Wonyoung Kim , Joong-Ho Won , Myunghee Cho Paik

This paper deals with the estimation of a probability measure on the real line from data observed with an additive noise. We are interested in rates of convergence for the Wasserstein metric of order $p\geq 1$. The distribution of the…

统计理论 · 数学 2015-03-05 Jérôme Dedecker , Aurélie Fischer , Bertrand Michel

Coupling arguments are a central tool for bounding the deviation between two stochastic processes, but traditionally have been limited to Wasserstein metrics. In this paper, we apply the shifted composition rule--an information-theoretic…

统计理论 · 数学 2024-12-25 Jason M. Altschuler , Sinho Chewi

Wasserstein distances provide a powerful framework for comparing data distributions. They can be used to analyze processes over time or to detect inhomogeneities within data. However, simply calculating the Wasserstein distance or analyzing…

机器学习 · 计算机科学 2026-03-03 Philip Naumann , Jacob Kauffmann , Grégoire Montavon

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

计算机视觉与模式识别 · 计算机科学 2019-04-16 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

计算机视觉与模式识别 · 计算机科学 2019-04-17 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

We provide new convergence guarantees in Wasserstein distance for diffusion-based generative models, covering both stochastic (DDPM-like) and deterministic (DDIM-like) sampling methods. We introduce a simple framework to analyze…

机器学习 · 计算机科学 2025-11-14 Eliot Beyler , Francis Bach