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High-dimensional financial time series often exhibit complex dependence relations driven by both common market structures and latent connections among assets. To capture these characteristics, this paper proposes Factor-Driven Network…

统计方法学 · 统计学 2025-11-27 Brendan Martin , Mihai Cucuringu , Alessandra Luati , Francesco Sanna Passino

Principal component analysis (PCA) has been widely applied to dimensionality reduction and data pre-processing for different applications in engineering, biology and social science. Classical PCA and its variants seek for linear projections…

机器学习 · 计算机科学 2017-07-11 Xiaojun Chang , Feiping Nie , Yi Yang , Heng Huang

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

统计方法学 · 统计学 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu

Covariate adaptive randomization (CAR) procedures are extensively used to reduce the likelihood of covariate imbalances occurring in clinical trials. In literatures, a lot of CAR procedures have been proposed so that the specified…

统计理论 · 数学 2026-03-10 Zhang Li-Xin

Among semiparametric regression models, partially linear additive models provide a useful tool to include additive nonparametric components as well as a parametric component, when explaining the relationship between the response and a set…

统计方法学 · 统计学 2024-02-01 Graciela Boente , Alejandra Martínez

Semi-competing risks data arise when both non-terminal and terminal events are considered in a model. Such data with multiple events of interest are frequently encountered in medical research and clinical trials. In this framework, terminal…

统计方法学 · 统计学 2022-11-21 Fatemeh Mahmoudi , Xuewen Lu

This paper focuses on variable selection for a partially linear single-index varying-coefficient model. A regularized variable selection procedure by combining basis function approximations with SCAD penalty is proposed. It can…

统计理论 · 数学 2024-12-19 Lijuan Han , Liugen Xue , Junshan Xie

We develop a new methodology for forecasting matrix-valued time series with historical matrix data and auxiliary vector time series data. We focus on a time series of matrices defined on a static 2-D spatial grid and an auxiliary time…

统计方法学 · 统计学 2025-09-25 Hu Sun , Zuofeng Shang , Yang Chen

Factor models are a very efficient way to describe high dimensional vectors of data in terms of a small number of common relevant factors. This problem, which is of fundamental importance in many disciplines, is usually reformulated in…

最优化与控制 · 数学 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

Sparse principal component analysis (sparse PCA) is a widely used technique for dimensionality reduction in multivariate analysis, addressing two key limitations of standard PCA. First, sparse PCA can be implemented in high-dimensional low…

统计方法学 · 统计学 2025-10-07 Jan O. Bauer

This paper studies the covariance matrix estimation for high-dimensional time series within a new framework that combines low-rank factor and latent variable-specific cluster structures. The popular methods based on assuming the sparse…

统计方法学 · 统计学 2025-02-25 Dong Li , Xinghao Qiao , Cheng Yu

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise, Sigma = (sigma^2)*I. The maximum likelihood solution for the model is an…

机器学习 · 统计学 2011-06-23 Alfredo A. Kalaitzis , Neil D. Lawrence

The central aim in this paper is to address variable selection questions in nonlinear and nonparametric regression. Motivated by statistical genetics, where nonlinear interactions are of particular interest, we introduce a novel and…

统计方法学 · 统计学 2018-08-28 Lorin Crawford , Seth R. Flaxman , Daniel E. Runcie , Mike West

Our paper discovers a new trade-off of using regression adjustments (RAs) in causal inference under covariate-adaptive randomizations (CARs). On one hand, RAs can improve the efficiency of causal estimators by incorporating information from…

计量经济学 · 经济学 2025-02-19 Liang Jiang , Liyao Li , Ke Miao , Yichong Zhang

Various problems in data analysis and statistical genetics call for recovery of a column-sparse, low-rank matrix from noisy observations. We propose ReFACTor, a simple variation of the classical Truncated Singular Value Decomposition (TSVD)…

机器学习 · 统计学 2017-05-23 Matan Gavish , Regev Schweiger , Elior Rahmani , Eran Halperin

Tensors are becoming prevalent in modern applications such as medical imaging and digital marketing. In this paper, we propose a sparse tensor additive regression (STAR) that models a scalar response as a flexible nonparametric function of…

机器学习 · 统计学 2021-03-08 Botao Hao , Boxiang Wang , Pengyuan Wang , Jingfei Zhang , Jian Yang , Will Wei Sun

We consider the problem of estimating a low-dimensional parameter in high-dimensional linear regression. Constructing an approximately unbiased estimate of the parameter of interest is a crucial step towards performing statistical…

统计理论 · 数学 2021-07-30 Michael Celentano , Andrea Montanari

This paper focuses on the estimation of distributional treatment effects in randomized experiments that use covariate-adaptive randomization (CAR). These include designs such as Efron's biased-coin design and stratified block randomization,…

计量经济学 · 经济学 2025-06-09 Undral Byambadalai , Tomu Hirata , Tatsushi Oka , Shota Yasui

Various unsupervised greedy selection methods have been proposed as computationally tractable approximations to the NP-hard subset selection problem. These methods rely on sequentially selecting the variables that best improve performance…

机器学习 · 计算机科学 2025-02-18 Federico Zocco , Marco Maggipinto , Gian Antonio Susto , Seán McLoone

Ultra-high dimensional longitudinal data are increasingly common and the analysis is challenging both theoretically and methodologically. We offer a new automatic procedure for finding a sparse semivarying coefficient model, which is widely…

统计方法学 · 统计学 2014-09-24 Ming-Yen Cheng , Toshio Honda , Jialiang Li , Heng Peng