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We consider the problem of estimating high-dimensional Gaussian graphical models corresponding to a single set of variables under several distinct conditions. This problem is motivated by the task of recovering transcriptional regulatory…

Machine Learning · Statistics 2014-01-24 Karthik Mohan , Palma London , Maryam Fazel , Daniela Witten , Su-In Lee

Some effort has been undertaken over the last decade to provide conditions for the control of the false discovery rate by the linear step-up procedure (LSU) for testing $n$ hypotheses when test statistics are dependent. In this paper we…

Statistics Theory · Mathematics 2007-10-18 Helmut Finner , Thorsten Dickhaus , Markus Roters

We introduce a sufficient graphical model by applying the recently developed nonlinear sufficient dimension reduction techniques to the evaluation of conditional independence. The graphical model is nonparametric in nature, as it does not…

Machine Learning · Statistics 2023-07-11 Bing Li , Kyongwon Kim

This paper proposes a penalized composite likelihood method for model selection in colored graphical Gaussian models. The method provides a sparse and symmetry-constrained estimator of the precision matrix, and thus conducts model selection…

Methodology · Statistics 2020-04-06 Qiong Li , Xiaoying Sun , Nanwei Wang

Studying conditional independence among many variables with few observations is a challenging task. Gaussian Graphical Models (GGMs) tackle this problem by encouraging sparsity in the precision matrix through $l_q$ regularization with…

Machine Learning · Computer Science 2023-11-17 Marcello Massimo Negri , F. Arend Torres , Volker Roth

The horseshoe prior, a widely used handy alternative to the spike-and-slab prior, has proven to be an exceptional default global-local shrinkage prior in Bayesian inference and machine learning. However, designing tests with frequentist…

Methodology · Statistics 2025-02-19 Qiaoyu Liang , Zihan Zhu , Ziang Fu , Michael Evans

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

Change Detection (CD) enables the identification of alterations between images of the same area captured at different times. However, existing CD methods still struggle to address pseudo changes resulting from domain information differences…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Yi Xiao , Bin Luo , Jun Liu , Xin Su , Wei Wang

False discovery rate (FDR) controlling procedures provide important statistical guarantees for the replicability in signal identification based on multiple hypotheses testing. In many fields of study, FDR controlling procedures are used in…

Methodology · Statistics 2022-10-04 Ran Dai , Cheng Zheng

The control of high-dimensional systems, such as soft robots, requires models that faithfully capture complex dynamics while remaining computationally tractable. This work presents a framework that integrates Graph Neural Network…

We study simultaneous inference for multiple matrix-variate Gaussian graphical models in high-dimensional settings. Such models arise when spatiotemporal data are collected across multiple sample groups or experimental sessions, where each…

Methodology · Statistics 2026-01-21 Zongge Liu , Heejong Bong , Zhao Ren , Matthew A. Smith , Robert E. Kass

Graphical models have found widespread applications in many areas of modern statistics and machine learning. Iterative Proportional Fitting (IPF) and its variants have become the default method for undirected graphical model estimation, and…

Methodology · Statistics 2024-08-22 Kshitij Khare , Syed Rahman , Bala Rajaratnam , Jiayuan Zhou

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

Methodology · Statistics 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

When simultaneously testing multiple hypotheses, the usual approach in the context of confirmatory clinical trials is to control the familywise error rate (FWER), which bounds the probability of making at least one false rejection. In many…

Methodology · Statistics 2021-05-20 David S. Robertson , James M. S. Wason , Frank Bretz

We study the problem of detecting a change in the mean of one-dimensional Gaussian process data. This problem is investigated in the setting of increasing domain (customarily employed in time series analysis) and in the setting of fixed…

Statistics Theory · Mathematics 2017-04-11 Hossein Keshavarz , Clayton Scott , XuanLong Nguyen

The Gaussian Graphical Model (GGM) is a popular tool for incorporating sparsity into joint multivariate distributions. The G-Wishart distribution, a conjugate prior for precision matrices satisfying general GGM constraints, has now been in…

Computation · Statistics 2012-05-15 Yuan Cheng , Alex Lenkoski

Recent methods for conditional image generation benefit from dense supervision such as segmentation label maps to achieve high-fidelity. However, it is rarely explored to employ dense supervision for unconditional image generation. Here we…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Gayoung Lee , Hyunsu Kim , Junho Kim , Seonghyeon Kim , Jung-Woo Ha , Yunjey Choi

It is frequently of interest to jointly analyze multiple sequences of multiple tests in order to identify simultaneous signals, defined as features tested in multiple studies whose test statistics are non-null in each. In many problems,…

Methodology · Statistics 2019-01-16 Sihai Dave Zhao , Yet Tien Nguyen

Controlling false discovery rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring possible…

Machine Learning · Statistics 2021-01-26 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

Time series graphical models have recently received considerable attention for characterizing (conditional) dependence structures in multivariate time series. In many applications, the multivariate series exhibit variable-partitioned…

Methodology · Statistics 2026-04-09 Qin Fang , Xinghao Qiao , Zihan Wang