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In this paper we develop a novel approach for estimating large and sparse dynamic factor models using variational inference, also allowing for missing data. Inspired by Bayesian variable selection, we apply slab-and-spike priors onto the…

统计方法学 · 统计学 2022-10-14 Erik Spånberg

This article is an extended version of previous work of the authors [40, 41] on low-rank matrix estimation in the presence of constraints on the factors into which the matrix is factorized. Low-rank matrix factorization is one of the basic…

统计理论 · 数学 2017-08-28 Thibault Lesieur , Florent Krzakala , Lenka Zdeborová

The increased availability of the multi-view data (data on the same samples from multiple sources) has led to strong interest in models based on low-rank matrix factorizations. These models represent each data view via shared and individual…

机器学习 · 统计学 2021-04-01 Irina Gaynanova , Gen Li

This paper introduces a Factor Augmented Sparse Throughput (FAST) model that utilizes both latent factors and sparse idiosyncratic components for nonparametric regression. The FAST model bridges factor models on one end and sparse…

统计理论 · 数学 2023-11-28 Jianqing Fan , Yihong Gu

The NEXT Generation Health study investigates the dating violence of adolescents using a survey questionnaire. Each student is asked to affirm or deny multiple instances of violence in his/her dating relationship. There is, however,…

应用统计 · 统计学 2015-06-02 Kara A. Fulton , Danping Liu , Denise L. Haynie , Paul S. Albert

Estimation of Gaussian graphical models is important in natural science when modeling the statistical relationships between variables in the form of a graph. The sparsity and clustering structure of the concentration matrix is enforced to…

最优化与控制 · 数学 2020-04-20 Meixia Lin , Defeng Sun , Kim-Chuan Toh , Chengjing Wang

This paper presents a novel projection-based adaptive algorithm for sparse signal and system identification. The sequentially observed data are used to generate an equivalent sequence of closed convex sets, namely hyperslabs. Each hyperslab…

信息论 · 计算机科学 2015-10-28 Yannis Kopsinis , Konstantinos Slavakis , Sergios Theodoridis

This paper studies the problem of estimating a large coefficient matrix in a multiple response linear regression model when the coefficient matrix could be both of low rank and sparse in the sense that most nonzero entries concentrate on a…

统计方法学 · 统计学 2016-03-18 Zhuang Ma , Zongming Ma , Tingni Sun

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

Clustering has long been a popular unsupervised learning approach to identify groups of similar objects and discover patterns from unlabeled data in many applications. Yet, coming up with meaningful interpretations of the estimated clusters…

统计方法学 · 统计学 2020-05-26 Minjie Wang , Tianyi Yao , Genevera I. Allen

Factor analysis is a statistical technique that explains correlations among observed random variables with the help of a smaller number of unobserved factors. In traditional full factor analysis, each observed variable is influenced by…

统计理论 · 数学 2024-12-09 Mathias Drton , Alexandros Grosdos , Irem Portakal , Nils Sturma

We consider the problem of sparse estimation in a factor analysis model. A traditional estimation procedure in use is the following two-step approach: the model is estimated by maximum likelihood method and then a rotation technique is…

统计方法学 · 统计学 2013-03-18 Kei Hirose , Michio Yamamoto

Despite the popularity of factor models with sparse loading matrices, little attention has been given to formally address identifiability of these models beyond standard rotation-based identification such as the positive lower triangular…

计量经济学 · 经济学 2025-02-12 Darjus Hosszejni , Sylvia Frühwirth-Schnatter

Despite the growing availability of large datasets, causal structure learning remains computationally prohibitive at scale. We revisit sparsest-permutation learning for linear structural equation models and show that exact Cholesky…

机器学习 · 统计学 2026-05-08 Sunmin Oh , Sang-Yun Oh , Gunwoong Park

We conducted an extensive computational experiment, lasting multiple CPU-years, to optimally select parameters for two important classes of algorithms for finding sparse solutions of underdetermined systems of linear equations. We make the…

数值分析 · 计算机科学 2015-05-14 Arian Maleki , David L. Donoho

Ensuring that predicted probabilities align with observed frequencies is critical in high-stakes domains such as clinical decision support, autonomous driving and financial risk assessment. Existing calibration methods typically apply a…

机器学习 · 计算机科学 2026-05-26 Tomer Lavi , Bracha Shapira , Nadav Rappoport

While K-means is known to be a standard clustering algorithm, its performance may be compromised due to the presence of outliers and high-dimensional noisy variables. This paper proposes adaptively robust and sparse K-means clustering…

统计计算 · 统计学 2024-11-08 Hao Li , Shonosuke Sugasawa , Shota Katayama

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating…

系统与控制 · 计算机科学 2023-07-19 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

In this work, we propose a low-complexity robust adaptive beamforming (RAB) technique which estimates the steering vector using a Low-Complexity Shrinkage-Based Mismatch Estimation (LOCSME) algorithm. The proposed LOCSME algorithm estimates…

信息论 · 计算机科学 2015-06-17 Hang Ruan , Rodrigo C. de Lamare

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

最优化与控制 · 数学 2025-02-17 Sandra Pieraccini , Tommaso Vanzan