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Contrastive learning is a recent promising approach in unsupervised representation learning where a feature representation of data is learned by solving a pseudo classification problem from unlabelled data. However, it is not…

机器学习 · 计算机科学 2022-08-10 Hiroaki Sasaki , Takashi Takenouchi

This paper introduces an innovative method for conducting conditional independence testing in high-dimensional data, facilitating the automated discovery of significant associations within distinct subgroups of a population, all while…

统计方法学 · 统计学 2023-09-19 Matteo Sesia , Tianshu Sun

We propose a deep generative approach to sampling from a conditional distribution based on a unified formulation of conditional distribution and generalized nonparametric regression function using the noise-outsourcing lemma. The proposed…

统计理论 · 数学 2021-10-22 Xingyu Zhou , Yuling Jiao , Jin Liu , Jian Huang

The test of independence is a crucial component of modern data analysis. However, traditional methods often struggle with the complex dependency structures found in high-dimensional data. To overcome this challenge, we introduce a novel…

统计方法学 · 统计学 2024-09-13 Mingshuo Liu , Doudou Zhou , Hao Chen

We present a sound and complete algorithm for recovering causal graphs from observed, non-interventional data, in the possible presence of latent confounders and selection bias. We rely on the causal Markov and faithfulness assumptions and…

人工智能 · 计算机科学 2020-12-25 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

We initiate a systematic investigation of distribution testing in the framework of algorithmic replicability. Specifically, given independent samples from a collection of probability distributions, the goal is to characterize the sample…

机器学习 · 计算机科学 2025-07-04 Ilias Diakonikolas , Jingyi Gao , Daniel Kane , Sihan Liu , Christopher Ye

Imitation learning addresses the challenge of learning by observing an expert's demonstrations without access to reward signals from environments. Most existing imitation learning methods that do not require interacting with environments…

机器学习 · 计算机科学 2024-06-04 Shang-Fu Chen , Hsiang-Chun Wang , Ming-Hao Hsu , Chun-Mao Lai , Shao-Hua Sun

Given samples from an unknown multivariate distribution $p$, is it possible to distinguish whether $p$ is the product of its marginals versus $p$ being far from every product distribution? Similarly, is it possible to distinguish whether…

数据结构与算法 · 计算机科学 2019-07-12 Constantinos Daskalakis , Nishanth Dikkala , Gautam Kamath

Reliable uncertainty quantification is crucial for the trustworthiness of machine learning applications. Inductive Conformal Prediction (ICP) offers a distribution-free framework for generating prediction sets or intervals with…

机器学习 · 计算机科学 2025-06-25 A. A. Balinsky , A. D. Balinsky

While Large Language Models (LLMs) have emerged with remarkable capabilities in complex tasks through Chain-of-Thought reasoning, practical resource constraints have sparked interest in transferring these abilities to smaller models.…

计算与语言 · 计算机科学 2026-01-08 Jin Cui , Jiaqi Guo , Jiepeng Zhou , Ruixuan Yang , Jiayi Lu , Jiajun Xu , Jiangcheng Song , Boran Zhao , Pengju Ren

We consider a linear regression model and propose an omnibus test to simultaneously check the assumption of independence between the error and the predictor variables, and the goodness-of-fit of the parametric model. Our approach is based…

统计方法学 · 统计学 2014-05-06 Arnab Sen , Bodhisattva Sen

Conditional independence tests (CITs) test for conditional dependence between random variables. As existing CITs are limited in their applicability to complex, high-dimensional variables such as images, we introduce deep nonparametric CITs…

机器学习 · 统计学 2024-11-12 Marco Simnacher , Xiangnan Xu , Hani Park , Christoph Lippert , Sonja Greven

Conformal prediction provides rigorous distribution-free finite-sample guarantees for marginal coverage under the assumption of exchangeability, but may exhibit systematic undercoverage or overcoverage for specific subpopulations. Assessing…

统计方法学 · 统计学 2026-04-24 Zheng Zhou , Xiangfei Zhang , Chongguang Tao , Yuhong Yang

Imitation learning has enabled robots to perform complex, long-horizon tasks in challenging dexterous manipulation settings. As new methods are developed, they must be rigorously evaluated and compared against corresponding baselines…

Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual information clustering (MIC) algorithm. It uses mutual information…

定量方法 · 定量生物学 2007-05-23 Alexander Kraskov , Harald Stögbauer , Ralph G. Andrzejak , Peter Grassberger

Many high-dimensional hypothesis tests aim to globally examine marginal or low-dimensional features of a high-dimensional joint distribution, such as testing of mean vectors, covariance matrices and regression coefficients. This paper…

统计理论 · 数学 2020-02-04 Yinqiu He , Gongjun Xu , Chong Wu , Wei Pan

Atomistic simulations are widely used to investigate reactive processes but are often limited by the rare event problem due to kinetic bottlenecks. We recently introduced an enhanced sampling approach based on the committor function,…

计算物理 · 物理学 2026-03-02 Enrico Trizio , Giorgia Rossi , Michele Parrinello

To combine explicit and implicit generative models, we introduce semi-implicit generator (SIG) as a flexible hierarchical model that can be trained in the maximum likelihood framework. Both theoretically and experimentally, we demonstrate…

机器学习 · 统计学 2019-07-30 Mingzhang Yin , Mingyuan Zhou

Information-theoretic generalization bounds based on the supersample construction are a central tool for algorithm-dependent generalization analysis in the batch i.i.d.~setting. However, existing supersample conditional mutual information…

机器学习 · 统计学 2026-05-13 Futoshi Futami , Masahiro Fujisawa

In multiple classification, one aims to determine whether a testing sequence is generated from the same distribution as one of the M training sequences or not. Unlike most of existing studies that focus on discrete-valued sequences with…

机器学习 · 统计学 2024-10-30 Lina Zhu , Lin Zhou