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Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

统计理论 · 数学 2009-01-29 Iain M Johnstone , Arthur Yu Lu

In the age of digital healthcare, passively collected physical activity profiles from wearable sensors are a preeminent tool for evaluating health outcomes. In order to fully leverage the vast amounts of data collected through wearable…

The use of principal component methods to analyze functional data is appropriate in a wide range of different settings. In studies of ``functional data analysis,'' it has often been assumed that a sample of random functions is observed…

统计理论 · 数学 2016-08-16 Peter Hall , Hans-Georg Müller , Jane-Ling Wang

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

Growth charts are often more informative when they are customized per subject, taking into account prior measurements and possibly other covariates of the subject. We study a global semiparametric quantile regression model that has the…

统计理论 · 数学 2007-06-13 Ying Wei , Xuming He

Smoothing of noisy sample covariances is an important component in functional data analysis. We propose a novel covariance smoothing method based on penalized splines and associated software. The proposed method is a bivariate spline…

统计方法学 · 统计学 2017-04-07 Luo Xiao , Cai Li , William Checkley , Ciprian M. Crainiceanu

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

统计方法学 · 统计学 2025-12-09 Sijie Zheng

This paper presents a new statistical method for clustering step data, a popular form of health record data easily obtained from wearable devices. Since step data are high-dimensional and zero-inflated, classical methods such as K-means and…

统计方法学 · 统计学 2020-10-16 Wookyeong Song , Hee-Seok Oh , Yaeji Lim , Ying Kuen Cheung

This paper focuses on the analysis of spatially correlated functional data. The between-curve correlation is modeled by correlating functional principal component scores of the functional data. We propose a Spatial Principal Analysis by…

统计理论 · 数学 2014-11-19 Chong Liu , Surajit Ray , Giles Hooker

Genetic algorithms are a widely used method in chemometrics for extracting variable subsets with high prediction power. Most fitness measures used by these genetic algorithms are based on the ordinary least-squares fit of the resulting…

统计计算 · 统计学 2017-11-21 David Kepplinger , Peter Filzmoser , Kurt Varmuza

When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the…

计算机视觉与模式识别 · 计算机科学 2018-02-06 Ajay Gupta , Adrian Barbu

Face aging simulation has received rising investigations nowadays, whereas it still remains a challenge to generate convincing and natural age-progressed face images. In this paper, we present a novel approach to such an issue by using…

计算机视觉与模式识别 · 计算机科学 2016-05-04 Hongyu Yang , Di Huang , Yunhong Wang , Heng Wang , Yuanyan Tang

We propose a principal components regression method based on maximizing a joint pseudo-likelihood for responses and predictors. Our method uses both responses and predictors to select linear combinations of the predictors relevant for the…

统计方法学 · 统计学 2021-08-10 Karl Oskar Ekvall

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

统计方法学 · 统计学 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

Empirical growth analysis has three major problems --- variable selection, parameter heterogeneity and cross-sectional dependence --- which are addressed independently from each other in most studies. The purpose of this study is to propose…

计量经济学 · 经济学 2019-03-20 Guohua Feng , Jiti Gao , Bin Peng

A compositional tree refers to a tree structure on a set of random variables where each random variable is a node and composition occurs at each non-leaf node of the tree. As a generalization of compositional data, compositional trees…

统计方法学 · 统计学 2021-04-20 Bingkai Wang , Brian S. Caffo , Xi Luo , Chin-Fu Liu , Andreia V. Faria , Michael I. Miller , Yi Zhao

Principal component analysis (PCA) is one of the most commonly used statistical procedures with a wide range of applications. This paper considers both minimax and adaptive estimation of the principal subspace in the high dimensional…

统计理论 · 数学 2014-01-08 T. Tony Cai , Zongming Ma , Yihong Wu

Methods for global measurement of transcript abundance such as microarrays and RNA-Seq generate datasets in which the number of measured features far exceeds the number of observations. Extracting biologically meaningful and experimentally…

统计方法学 · 统计学 2022-06-22 Lei Ding , Gabriel E. Zentner , Daniel J. McDonald

We propose an estimation approach to analyse correlated functional data which are observed on unequal grids or even sparsely. The model we use is a functional linear mixed model, a functional analogue of the linear mixed model. Estimation…

统计方法学 · 统计学 2015-08-10 Jona Cederbaum , Marianne Pouplier , Phil Hoole , Sonja Greven

This work presents a new approach, called MISFIT, for fitting generalized functional linear regression models with sparsely and irregularly sampled data. Current methods do not allow for consistent estimation unless one assumes that the…

统计方法学 · 统计学 2022-05-10 Justin Petrovich , Matthew Reimherr , Carrie Daymont