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Extensive empirical evidence demonstrates that conditional generative models are easier to train and perform better than unconditional ones by exploiting the labels of data. So do score-based diffusion models. In this paper, we analyze the…

机器学习 · 计算机科学 2022-12-02 Fan Bao , Chongxuan Li , Jiacheng Sun , Jun Zhu

Paired cluster-randomized experiments (pCRTs) are common across many disciplines because there is often natural clustering of individuals, and paired randomization can help balance baseline covariates to improve experimental precision.…

统计方法学 · 统计学 2024-07-03 Charlotte Z. Mann , Adam C. Sales , Johann A. Gagnon-Bartsch

We study properties of two resampling scenarios: Conditional Randomisation and Conditional Permutation schemes, which are relevant for testing conditional independence of discrete random variables $X$ and $Y$ given a random variable $Z$.…

统计理论 · 数学 2023-04-14 Małgorzata Łazęcka , Bartosz Kołodziejek , Jan Mielniczuk

Randomized experiments have become important tools in empirical research. In a completely randomized treatment-control experiment, the simple difference in means of the outcome is unbiased for the average treatment effect, and covariate…

统计理论 · 数学 2021-01-01 Lihua Lei , Peng Ding

Conditional generative models, particularly diffusion-based methods, have recently been applied to graph prediction by modeling the target as a conditional distribution given the input graph, yielding competitive results compared to…

人工智能 · 计算机科学 2026-05-08 Shaozhen Ma , Wei Huang , Hanchen Wang , Dong Wen , Wenjie Zhang

A randomized controlled trial (RCT) is widely regarded as the gold standard for assessing the causal effect of a treatment or intervention, assuming perfect implementation. In practice, however, randomization can be compromised for various…

统计方法学 · 统计学 2026-04-21 Yin Tang , Yanyuan Ma , Jiwei Zhao

This paper studies the problem of discriminating two multivariate Gaussian distributions in a distributed manner. Specifically, it characterizes in a special case the optimal typeII error exponent as a function of the available…

信息论 · 计算机科学 2020-05-15 Pierre Escamilla , Abdellatif Zaidi , Michèle Wigger

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

机器学习 · 统计学 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki

When in a digital control strategy there are samples lost due to limitations, diff t multirate (MR) control options can be used for solving the problem: Dual-rate inferential control (IC) and model-based dual-rate control (MBDR). The…

最优化与控制 · 数学 2024-01-19 J. Salt , J. Alcaina , A. Cuenca , A. Banyos

Invariant Causal Prediction (Peters et al., 2016) is a technique for out-of-distribution generalization which assumes that some aspects of the data distribution vary across the training set but that the underlying causal mechanisms remain…

机器学习 · 计算机科学 2021-03-30 Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we propose a linear combination of empirical distance cross-covariances. We derive the asymptotic distribution…

统计理论 · 数学 2026-01-28 Annika Betken , Herold Dehling

This paper considers the sequential composite hypothesis test with multiple sensors. The sensors observe random samples in parallel and communicate with a fusion center, who makes the global decision based on the sensor inputs. On one hand,…

应用统计 · 统计学 2018-04-17 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

We consider the problem of testing the equality of conditional distributions of a response variable given a vector of covariates between two populations. Such a hypothesis testing problem can be motivated from various machine learning and…

统计方法学 · 统计学 2023-02-24 Xiaoyu Hu , Jing Lei

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

统计方法学 · 统计学 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

In this paper we study the problem of measuring and testing joint independence for a collection of multivariate random variables. Using the emerging theory of optimal transport (OT) based multivariate ranks, we propose a distribution-free…

统计理论 · 数学 2022-12-01 Ziang Niu , Bhaswar B. Bhattacharya

Discrete diffusion models (DDMs) are a powerful class of generative models for categorical data, but they typically require many function evaluations for a single sample, making inference expensive. Existing acceleration methods either rely…

机器学习 · 计算机科学 2025-12-16 Yansong Gao , Yu Sun

The $X^2$ and $G^2$ tests are the most frequently applied tests for testing the independence of two categorical variables. However, no one, to the best of our knowledge has compared them, extensively, and ultimately answer the question of…

统计方法学 · 统计学 2020-04-03 Abdulaziz Alenazi

Latent Class Models (LCMs) are used to cluster multivariate categorical data (e.g. group participants based on survey responses). Traditional LCMs assume a property called conditional independence. This assumption can be restrictive,…

机器学习 · 统计学 2024-06-19 Jesse Bowers , Steve Culpepper

In a clinical trial, the random allocation aims to balance prognostic factors between arms, preventing true confounders. However, residual differences due to chance may introduce near-confounders. Adjusting on prognostic factors is…

统计方法学 · 统计学 2024-11-18 Joe de Keizer , Rémi Lenain , Raphaël Porcher , Sarah Zoha , Arthur Chatton , Yohann Foucher

This paper develops an asymptotic theory for two-step debiased machine learning (DML) estimators in generalised method of moments (GMM) models with general multiway clustered dependence, without relying on cross-fitting. While cross-fitting…

计量经济学 · 经济学 2026-04-07 Kaicheng Chen , Harold D. Chiang