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Dataset distillation seeks to synthesize a compact distilled dataset, enabling models trained on it to achieve performance comparable to models trained on the full dataset. Recent methods for large-scale datasets focus on matching global…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Xiao Cui , Yulei Qin , Wengang Zhou , Hongsheng Li , Houqiang Li

Test-time adaptation (TTA) seeks to tackle potential distribution shifts between training and testing data by adapting a given model w.r.t. any testing sample. This task is particularly important for deep models when the test environment…

Machine Learning · Computer Science 2022-06-01 Shuaicheng Niu , Jiaxiang Wu , Yifan Zhang , Yaofo Chen , Shijian Zheng , Peilin Zhao , Mingkui Tan

We study sampling problems associated with non-convex potentials that meanwhile lack smoothness. In particular, we consider target distributions that satisfy either logarithmic-Sobolev inequality or Poincar\'e inequality. Rather than…

Machine Learning · Computer Science 2023-02-21 Jiaming Liang , Yongxin Chen

Test-time adaptation (TTA) aims to improve model generalizability when test data diverges from training distribution, offering the distinct advantage of not requiring access to training data and processes, especially valuable in the context…

Machine Learning · Computer Science 2024-02-28 Yige Yuan , Bingbing Xu , Liang Hou , Fei Sun , Huawei Shen , Xueqi Cheng

Traditionally, in supervised machine learning, (a significant) part of the available data (usually 50% to 80%) is used for training and the rest for validation. In many problems, however, the data is highly imbalanced in regard to different…

Machine Learning · Computer Science 2020-04-21 Xiaowei Gu , Plamen P Angelov , Eduardo Almeida Soares

This study designs an adaptive experiment for efficiently estimating average treatment effects (ATEs). In each round of our adaptive experiment, an experimenter sequentially samples an experimental unit, assigns a treatment, and observes…

Methodology · Statistics 2024-06-21 Masahiro Kato , Akihiro Oga , Wataru Komatsubara , Ryo Inokuchi

Given samples from two distributions over an $n$-element set, we wish to test whether these distributions are statistically close. We present an algorithm which uses sublinear in $n$, specifically, $O(n^{2/3}\epsilon^{-8/3}\log n)$,…

Data Structures and Algorithms · Computer Science 2010-11-05 Tugkan Batu , Lance Fortnow , Ronitt Rubinfeld , Warren D. Smith , Patrick White

We introduce a notion called entropic independence that is an entropic analog of spectral notions of high-dimensional expansion. Informally, entropic independence of a background distribution $\mu$ on $k$-sized subsets of a ground set of…

Data Structures and Algorithms · Computer Science 2021-11-08 Nima Anari , Vishesh Jain , Frederic Koehler , Huy Tuan Pham , Thuy-Duong Vuong

This paper provides an elementary, self-contained analysis of diffusion-based sampling methods for generative modeling. In contrast to existing approaches that rely on continuous-time processes and then discretize, our treatment works…

Machine Learning · Statistics 2025-06-25 Galen Reeves , Henry D. Pfister

Conventional test-time adaptation (TTA) approaches typically adapt the model using only a small fraction of test samples, often those with low-entropy predictions, thereby failing to fully leverage the available information in the test…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Nam Nguyen Phuong , Duc Nguyen The Minh , Phi Le Nguyen , Ehsan Abbasnejad , Minh Hoai

A common obstruction to efficient sampling from high-dimensional distributions with Markov chains is the multimodality of the target distribution because they may get trapped far from stationarity. Still, one hopes that this is only a…

Probability · Mathematics 2025-09-05 Antonio Blanca , Reza Gheissari , Xusheng Zhang

Time series forecasting under distribution shift remains challenging, as existing deep learning models often rely on local statistical normalization (e.g., mean and variance) that fails to capture global distribution shift. Methods like…

Machine Learning · Computer Science 2025-11-18 Yujie Li , Zezhi Shao , Chengqing Yu , Yisong Fu , Tao Sun , Yongjun Xu , Fei Wang

Recently, Miller et al. (2021) and Baek et al. (2022) empirically demonstrated strong linear correlations between in-distribution (ID) versus out-of-distribution (OOD) accuracy and agreement. These trends, coined accuracy-on-the-line (ACL)…

Machine Learning · Computer Science 2024-11-11 Eungyeup Kim , Mingjie Sun , Christina Baek , Aditi Raghunathan , J. Zico Kolter

Test-time adaptation (TTA) has shown to be effective at tackling distribution shifts between training and testing data by adapting a given model on test samples. However, the online model updating of TTA may be unstable and this is often a…

Machine Learning · Computer Science 2023-02-27 Shuaicheng Niu , Jiaxiang Wu , Yifan Zhang , Zhiquan Wen , Yaofo Chen , Peilin Zhao , Mingkui Tan

Test-Time adaptation (TTA) aims to enhance model robustness against distribution shifts through rapid model adaptation during inference. While existing TTA methods often rely on entropy-based unsupervised training and achieve promising…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Zixuan Hu , Yichun Hu , Ling-Yu Duan

Understanding the dimension dependency of computational complexity in high-dimensional sampling problem is a fundamental problem, both from a practical and theoretical perspective. Compared with samplers with unbiased stationary…

Machine Learning · Computer Science 2024-03-12 Xunpeng Huang , Hanze Dong , Difan Zou , Tong Zhang

Selection, mutation and random drift affect the dynamics of allele frequencies and consequently of quantitative traits. While the macroscopic dynamics of quantitative traits can be measured, the underlying allele frequencies are typically…

Populations and Evolution · Quantitative Biology 2016-03-15 Katarína Boďová , Gašper Tkačik , Nicholas H. Barton

The Improved Cross-Entropy (ICE) method is a powerful tool for estimating failure probabilities in reliability analysis. Its core idea is to approximate the optimal importance-sampling density by minimizing the forward Kullback-Leibler…

Numerical Analysis · Mathematics 2025-09-10 Zhiwei Gao , George Karniadakis

Modeling distributions of covariates, or density estimation, is a core challenge in unsupervised learning. However, the majority of work only considers the joint distribution, which has limited utility in practical situations. A more…

Machine Learning · Computer Science 2021-10-28 Ryan R. Strauss , Junier B. Oliva

A wide class of binary-state dynamics on networks---including, for example, the voter model, the Bass diffusion model, and threshold models---can be described in terms of transition rates (spin-flip probabilities) that depend on the number…

Physics and Society · Physics 2013-05-08 James P. Gleeson