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Wavelet shrinkage estimators are widely applied in several fields of science for denoising data in wavelet domain by reducing the magnitudes of empirical coefficients. In nonparametric regression problem, most of the shrinkage rules are…

统计方法学 · 统计学 2021-09-14 Alex Rodrigo dos Santos Sousa , Nancy Lopes Garcia

As a principled dimension reduction technique, factor models have been widely adopted in social science, economics, bioinformatics, and many other fields. However, in high-dimensional settings, conducting a 'correct' Bayesianfactor analysis…

统计方法学 · 统计学 2021-01-05 Yucong Ma , Jun S. Liu

Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

统计方法学 · 统计学 2026-02-12 Hilde Vinje , Lars Erik Gangsei

Factor analysis is a widely used technique for dimension reduction in high-dimensional data. However, a key challenge in factor models lies in the interpretability of the latent factors. One intuitive way to interpret these factors is…

统计方法学 · 统计学 2025-10-08 Xin Wang , Xialu Liu

We develop a Bayesian methodology aimed at simultaneously estimating low-rank and row-sparse matrices in a high-dimensional multiple-response linear regression model. We consider a carefully devised shrinkage prior on the matrix of…

统计方法学 · 统计学 2019-04-10 Antik Chakraborty , Anirban Bhattacharya , Bani K. Mallick

We introduce a probabilistic model with implicit norm regularization for learning nonnegative matrix factorization (NMF) that is commonly used for predicting missing values and finding hidden patterns in the data, in which the matrix…

机器学习 · 计算机科学 2022-08-23 Jun Lu , Christine P. Chai

We present a Bayesian method for feature selection in the presence of grouping information with sparsity on the between- and within group level. Instead of using a stochastic algorithm for parameter inference, we employ expectation…

机器学习 · 统计学 2018-09-26 Edgar Steiger , Martin Vingron

This paper studies model selection consistency for high dimensional sparse regression when data exhibits both cross-sectional and serial dependency. Most commonly-used model selection methods fail to consistently recover the true model when…

统计方法学 · 统计学 2018-09-12 Jianqing Fan , Yuan Ke , Kaizheng Wang

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo

Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typically lies in lower-dimensional structures. These lower dimensional objects provide useful insight, with interpretability favored by sparse…

统计方法学 · 统计学 2022-12-14 Lorenzo Schiavon , Bernardo Nipoti , Antonio Canale

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

统计方法学 · 统计学 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

Several approximate inference methods have been proposed for deep discrete latent variable models. However, non-parametric methods which have previously been successfully employed for classical sparse coding models have largely been…

机器学习 · 计算机科学 2023-03-16 Arunesh Mittal , Kai Yang , Paul Sajda , John Paisley

In this paper, we introduce a novel high-dimensional Factor-Adjusted sparse Partially Linear regression Model (FAPLM), to integrate the linear effects of high-dimensional latent factors with the nonparametric effects of low-dimensional…

统计方法学 · 统计学 2025-01-14 Yanmei Shi , Meiling Hao , Yanlin Tang , Xu Guo

We consider a structured estimation problem where an observed matrix is assumed to be generated as an $s$-sparse linear combination of $N$ given $n\times n$ positive-semidefinite matrices. Recovering the unknown $N$-dimensional and…

信息论 · 计算机科学 2020-03-27 Fabian Jaensch , Peter Jung

We consider the problems of hypothesis testing and model comparison under a flexible Bayesian linear regression model whose formulation is closely connected with the linear mixed effect model and the parametric models for SNP set analysis…

统计方法学 · 统计学 2015-02-24 Xiaoquan Wen

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

机器学习 · 计算机科学 2014-08-12 Ricardo Silva , Robert B. Gramacy

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

机器学习 · 计算机科学 2010-03-15 Ricardo Silva , Robert B. Gramacy

Simultaneous analysis of gene expression data and genetic variants is highly of interest, especially when the number of gene expressions and genetic variants are both greater than the sample size. Association of both causal genes and…

统计方法学 · 统计学 2021-10-07 Morteza Amini

In this article, we derive a Bayesian model to learning the sparse and low rank PARAFAC decomposition for the observed tensor with missing values via the elastic net, with property to find the true rank and sparse factor matrix which is…

数值分析 · 数学 2017-05-30 Songting Shi , Xiang Li , Arkadiusz Sitek , Quanzheng Li

Networks are a unifying framework for modeling complex systems and network inference problems are frequently encountered in many fields. Here, I develop and apply a generative approach to network inference (RCweb) for the case when the…

机器学习 · 统计学 2014-07-01 Nikolai Slavov