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Models specified by low-rank matrices are ubiquitous in contemporary applications. In many of these problem domains, the row/column space structure of a low-rank matrix carries information about some underlying phenomenon, and it is of…

Methodology · Statistics 2020-06-22 Armeen Taeb , Parikshit Shah , Venkat Chandrasekaran

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

Machine Learning · Statistics 2018-06-19 Marco Lorenzi , Maurizio Filippone

Motivated by the gene co-expression pattern analysis, we propose a novel sample quantile-based contingency (squac) statistic to infer quantile associations conditioning on covariates. It features enhanced flexibility in handling variables…

Methodology · Statistics 2018-08-27 Jichun Xie , Ruosha Li

Over the past decades, statisticians and machine-learning researchers have developed literally thousands of new tools for the reduction of high-dimensional data in order to identify the variables most responsible for a particular trait.…

Machine Learning · Statistics 2012-05-31 Chamont Wang , Jana Gevertz , Chaur-Chin Chen , Leonardo Auslender

The focus of modern biomedical studies has gradually shifted to explanation and estimation of joint effects of high dimensional predictors on disease risks. Quantifying uncertainty in these estimates may provide valuable insight into…

Methodology · Statistics 2021-03-09 Zhe Fei , Yi Li

This paper introduces novel weighted conformal p-values and methods for model-free selective inference. The problem is as follows: given test units with covariates $X$ and missing responses $Y$, how do we select units for which the…

Methodology · Statistics 2023-09-27 Ying Jin , Emmanuel J. Candès

The estimation of functional networks through functional covariance and graphical models have recently attracted increasing attention in settings with high dimensional functional data, where the number of functional variables p is…

Statistics Theory · Mathematics 2024-09-05 Qin Fang , Qing Jiang , Xinghao Qiao

Factor analysis for high-dimensional data is a canonical problem in statistics and has a wide range of applications. However, there is currently no factor model tailored to effectively analyze high-dimensional count responses with…

Methodology · Statistics 2024-08-21 Wei Liu , Qingzhi Zhong

Model-X approaches to testing conditional independence between a predictor and an outcome variable given a vector of covariates usually assume exact knowledge of the conditional distribution of the predictor given the covariates.…

Methodology · Statistics 2023-02-10 Ziang Niu , Abhinav Chakraborty , Oliver Dukes , Eugene Katsevich

Identifying which variables do influence a response while controlling false positives pervades statistics and data science. In this paper, we consider a scenario in which we only have access to summary statistics, such as the values of…

In this paper we deepen and enlarge the reflection on the possible advantages of a knockoff approach to genome wide association studies (Sesia et al., 2018), starting from the discussions in Bottolo & Richardson (2019); Jewell & Witten…

Methodology · Statistics 2019-03-15 Matteo Sesia , Chiara Sabatti , Emmanuel J. Candès

High-dimensional longitudinal time series data is prevalent across various real-world applications. Many such applications can be modeled as regression problems with high-dimensional time series covariates. Deep learning has been a popular…

Machine Learning · Statistics 2024-04-09 Wenxuan Zuo , Zifan Zhu , Yuxuan Du , Yi-Chun Yeh , Jed A. Fuhrman , Jinchi Lv , Yingying Fan , Fengzhu Sun

We propose a new methodology for selecting and ranking covariates associated with a variable of interest in a context of high-dimensional data under dependence but few observations. The methodology successively intertwines the clustering of…

Competing risk analysis considers event times due to multiple causes, or of more than one event types. Commonly used regression models for such data include 1) cause-specific hazards model, which focuses on modeling one type of event while…

Applications · Statistics 2017-04-27 Jiayi Hou , Anthony Paravati , Ronghui Xu , James Murphy

Our goal is to develop a general strategy to decompose a random variable $X$ into multiple independent random variables, without sacrificing any information about unknown parameters. A recent paper showed that for some well-known natural…

Methodology · Statistics 2025-12-23 Ameer Dharamshi , Anna Neufeld , Keshav Motwani , Lucy L. Gao , Daniela Witten , Jacob Bien

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy

Testing independence among a number of (ultra) high-dimensional random samples is a fundamental and challenging problem. By arranging $n$ identically distributed $p$-dimensional random vectors into a $p \times n$ data matrix, we investigate…

Statistics Theory · Mathematics 2017-03-28 Xi Chen , Weidong Liu

This paper is concerned with the selection and estimation of fixed and random effects in linear mixed effects models. We propose a class of nonconcave penalized profile likelihood methods for selecting and estimating important fixed…

Statistics Theory · Mathematics 2012-11-05 Yingying Fan , Runze Li

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

The Heckman selection model is one of the most well-renounced econometric models in the analysis of data with sample selection. This model is designed to rectify sample selection biases based on the assumption of bivariate normal error…

Methodology · Statistics 2025-11-26 Heeju Lim , Jose Alejandro Ordonez , Victor H. Lachos , Antonio Punzo