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Large language models often improve reasoning by sampling multiple outputs and aggregating their final answers, but precise and efficient control of error levels remains a challenging task. In particular, deciding when to stop sampling…

机器学习 · 统计学 2026-05-08 Hirofumi Ota , Naoto Iwase , Yuki Ichihara , Junpei Komiyama , Masaaki Imaizumi

Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

机器学习 · 计算机科学 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

We consider the problem of conditional independence testing of $X$ and $Y$ given $Z$ where $X,Y$ and $Z$ are three real random variables and $Z$ is continuous. We focus on two main cases - when $X$ and $Y$ are both discrete, and when $X$…

统计理论 · 数学 2021-07-05 Matey Neykov , Sivaraman Balakrishnan , Larry Wasserman

We derive independence tests by means of dependence measures thresholding in a semiparametric context. Precisely, estimates of phi-mutual informations, associated to phi-divergences between a joint distribution and the product distribution…

统计理论 · 数学 2015-08-20 Amor Keziou , Philippe Regnault

The paper introduces a novel conditional independence (CI) based method for linear and nonlinear, lagged and contemporaneous causal discovery from observational time series in the causally sufficient case. Existing CI-based methods such as…

统计方法学 · 统计学 2022-01-07 Jakob Runge

In this paper, we introduce a variation of the group testing problem capturing the idea that a positive test requires a combination of multiple ``types'' of item. Specifically, we assume that there are multiple disjoint \emph{semi-defective…

信息论 · 计算机科学 2024-05-10 Thach V. Bui , Jonathan Scarlett

Leveraging machine learning methods to solve constraint satisfaction problems has shown promising, but they are mostly limited to a static situation where the problem description is completely known and fixed from the beginning. In this…

机器学习 · 计算机科学 2025-09-23 Wook Lee , Frans A. Oliehoek

While Conformal Prediction (CP) has proven to be a powerful framework for uncertainty quantification, guaranteeing conditional coverage remains a central challenge. Although finite-sample, distribution-free conditional validity is known to…

统计方法学 · 统计学 2026-05-27 Félix Laplante

We describe a data-efficient, kernel-based approach to statistical testing of conditional independence. A major challenge of conditional independence testing is to obtain the correct test level (the specified upper bound on the rate of…

机器学习 · 计算机科学 2025-09-23 Roman Pogodin , Antonin Schrab , Yazhe Li , Danica J. Sutherland , Arthur Gretton

This article deals with the problem of testing conditional independence between two random vectors ${\bf X}$ and ${\bf Y}$ given a confounding random vector ${\bf Z}$. Several authors have considered this problem for multivariate data.…

统计理论 · 数学 2025-09-16 Bilol Banerjee

Over the last decade, the Dip-test of unimodality has gained increasing interest in the data mining community as it is a parameter-free statistical test that reliably rates the modality in one-dimensional samples. It returns a so called…

机器学习 · 计算机科学 2025-04-04 Lena G. M. Bauer , Collin Leiber , Christian Böhm , Claudia Plant

We investigate distribution testing with access to non-adaptive conditional samples. In the conditional sampling model, the algorithm is given the following access to a distribution: it submits a query set $S$ to an oracle, which returns a…

数据结构与算法 · 计算机科学 2018-11-06 Gautam Kamath , Christos Tzamos

Likelihood-free methods perform parameter inference in stochastic simulator models where evaluating the likelihood is intractable but sampling synthetic data is possible. One class of methods for this likelihood-free problem uses a…

机器学习 · 统计学 2020-12-21 Conor Durkan , Iain Murray , George Papamakarios

Standard approaches for uncertainty quantification in deep learning and physics-informed learning have persistent limitations. Indicatively, strong assumptions regarding the data likelihood are required, the performance highly depends on…

人工智能 · 计算机科学 2023-10-23 Qianli Shen , Wai Hoh Tang , Zhun Deng , Apostolos Psaros , Kenji Kawaguchi

Deep learning systems have been reported to acheive state-of-the-art performances in many applications, and one of the keys for achieving this is the existence of well trained classifiers on benchmark datasets which can be used as backbone…

机器学习 · 计算机科学 2022-10-04 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao

In this paper, we propose a general framework for testing the conditional distribution equality in a two-sample problem, which is most relevant to covariate shift and causal discovery. Our framework is built on neural network-based…

机器学习 · 计算机科学 2025-11-27 Siming Zheng , Tong Wang , Meifang Lan , Yuanyuan Lin

Due to data privacy constraints, data sharing among multiple centers is restricted. Continual learning, as one approach to peer-to-peer federated learning, can promote multicenter collaboration on deep learning algorithm development by…

Conditional-independence-based discovery uses statistical tests to identify a graphical model that represents the independence structure of variables in a dataset. These tests, however, can be unreliable, and algorithms are sensitive to…

机器学习 · 计算机科学 2026-04-21 Philipp M. Faller , Dominik Janzing

The goal of two-sample tests is to assess whether two samples, $S_P \sim P^n$ and $S_Q \sim Q^m$, are drawn from the same distribution. Perhaps intriguingly, one relatively unexplored method to build two-sample tests is the use of binary…

机器学习 · 统计学 2018-03-14 David Lopez-Paz , Maxime Oquab

We study a special case of the problem of statistical learning without the i.i.d. assumption. Specifically, we suppose a learning method is presented with a sequence of data points, and required to make a prediction (e.g., a classification)…

机器学习 · 计算机科学 2018-05-22 Steve Hanneke , Liu Yang