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Test of independence is of fundamental importance in modern data analysis, with broad applications in variable selection, graphical models, and causal inference. When the data is high dimensional and the potential dependence signal is…

统计方法学 · 统计学 2023-06-13 Zhanrui Cai , Jing Lei , Kathryn Roeder

We propose a network structure discovery model for continuous observations that generalizes linear causal models by incorporating a Gaussian process (GP) prior on a network-independent component, and random sparsity and weight matrices as…

机器学习 · 计算机科学 2017-03-01 Amir Dezfouli , Edwin V. Bonilla , Richard Nock

The network data has attracted considerable attention in modern statistics. In research on complex network data, one key issue is finding its underlying connection structure given a network sample. The methods that have been proposed in…

统计方法学 · 统计学 2024-08-09 Kang Fu , Jianwei Hu , Seydou Keita

We introduce a novel probabilistic group testing framework, termed Poisson group testing, in which the number of defectives follows a right-truncated Poisson distribution. The Poisson model has a number of new applications, including…

信息论 · 计算机科学 2023-07-19 Amin Emad , Olgica Milenkovic

We introduce a method for computation of exact conditional efficiency robust enumeration p-values for detection of genotype--phenotype associations at a single bi-allelic genetic locus. Our method can be based on any arbitrary ranking test…

统计方法学 · 统计学 2015-05-14 Max Moldovan , Mette Langaas

We propose a novel and easy-to-implement joint location-scale association testing procedure that can account for complex genetic architecture without explicitly modeling interaction effects, and is suitable for large-scale whole-genome…

统计方法学 · 统计学 2014-11-14 David Soave , Andrew Paterson , Lisa Strug , Lei Sun

Standard approaches to analysing data in genome-wide association studies (GWAS) ignore any potential functional relationships between genetic markers. In contrast gene pathways analysis uses prior information on functional structure within…

统计方法学 · 统计学 2013-02-26 M. Silver , P. Chen , L. Ruoying , C. Y. Cheng , T. Y. Wong , E. Tai , Y. Y. Teo , G. Montana

Probabilistic graphical models (PGMs) are powerful tools for representing statistical dependencies through graphs in high-dimensional systems. However, they are limited to pairwise interactions. In this work, we propose the simplicial…

机器学习 · 统计学 2025-10-16 Lorenzo Marinucci , Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa

We develop a unified $L$-statistic testing framework for high-dimensional regression coefficients that adapts to unknown sparsity. The proposed statistics rank coordinate-wise evidence measures and aggregate the top $k$ signals, bridging…

应用统计 · 统计学 2026-02-10 Ping Zhao , Fengyi Song , Huifang Ma

We propose a new class of semiparametric exponential family graphical models for the analysis of high dimensional mixed data. Different from the existing mixed graphical models, we allow the nodewise conditional distributions to be…

机器学习 · 统计学 2015-10-16 Zhuoran Yang , Yang Ning , Han Liu

The problems of large-scale multiple testing are often encountered in modern scientific researches. Conventional multiple testing procedures usually suffer considerable loss of testing efficiency due to the lack of consideration of…

统计方法学 · 统计学 2022-12-21 Pengfei Wang , Zhaofeng Tian

Network analysis is often focused on characterizing the dependencies between network relations and node-level attributes. Potential relationships are typically explored by modeling the network as a function of the nodal attributes or by…

统计方法学 · 统计学 2013-06-21 Bailey K. Fosdick , Peter D. Hoff

We present a novel data-oriented statistical framework that assesses the presumed Gaussian dependence structure in a pairwise setting. This refers to both multivariate normality and normal copula goodness-of-fit testing. The proposed test…

统计方法学 · 统计学 2024-04-23 Jakub Woźny , Piotr Jaworski , Damian Jelito , Marcin Pitera , Agnieszka Wyłomańska

Tens of thousands of simultaneous hypothesis tests are routinely performed in genomic studies to identify differentially expressed genes. However, due to unmeasured confounders, many standard statistical approaches may be substantially…

统计方法学 · 统计学 2025-03-18 Jin-Hong Du , Larry Wasserman , Kathryn Roeder

The Gaussian graphical model is routinely employed to model the joint distribution of multiple random variables. The graph it induces is not only useful for describing the relationship between random variables but also critical for…

统计方法学 · 统计学 2022-12-15 Thien-Minh Le , Ping-Shou Zhong , Chenlei Leng

Understanding and developing a correlation measure that can detect general dependencies is not only imperative to statistics and machine learning, but also crucial to general scientific discovery in the big data age. In this paper, we…

机器学习 · 统计学 2024-06-27 Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

In large scale genetic association studies, a primary aim is to test for association between genetic variants and a disease outcome. The variants of interest are often rare, and appear with low frequency among subjects. In this situation,…

统计方法学 · 统计学 2017-12-20 Arjun Sondhi , Kenneth Martin Rice

We introduce the coverage correlation coefficient, a novel nonparametric measure of statistical association designed to quantifies the extent to which two random variables have a joint distribution concentrated on a singular subset with…

统计方法学 · 统计学 2025-08-18 Xuzhi Yang , Mona Azadkia , Tengyao Wang

In genome wide association studies (GWAS), researchers are often dealing with non-normally distributed traits or a mixture of discrete-continuous traits. However, most of the current region-based methods rely on multivariate linear mixed…

统计方法学 · 统计学 2021-09-30 Julien St-Pierre , Karim Oualkacha

We study the problem of testing, using only a single sample, between mean field distributions (like Curie-Weiss, Erd\H{o}s-R\'enyi) and structured Gibbs distributions (like Ising model on sparse graphs and Exponential Random Graphs). Our…

统计理论 · 数学 2018-05-24 Guy Bresler , Dheeraj Nagaraj