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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

In this study, a longitudinal regression model for covariance matrix outcomes is introduced. The proposal considers a multilevel generalized linear model for regressing covariance matrices on (time-varying) predictors. This model…

统计方法学 · 统计学 2022-02-10 Yi Zhao , Brian S. Caffo , Xi Luo

Variational approximation methods have proven to be useful for scaling Bayesian computations to large data sets and highly parametrized models. Applying variational methods involves solving an optimization problem, and recent research in…

统计方法学 · 统计学 2017-01-13 Victor M. -H. Ong , David J. Nott , Michael S. Smith

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

机器学习 · 统计学 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

Understanding treatment effect heterogeneity is vital to many scientific fields because the same treatment may affect different individuals differently. Quantile regression provides a natural framework for modeling such heterogeneity. We…

统计方法学 · 统计学 2023-07-12 Alexander Giessing , Jingshen Wang

This paper is concerned with high-dimensional panel data models where the number of regressors can be much larger than the sample size. Under the assumption that the true parameter vector is sparse we propose a panel-Lasso estimator and…

统计理论 · 数学 2014-02-14 Anders Bredahl Kock

Matrix valued data has become increasingly prevalent in many applications. Most of the existing clustering methods for this type of data are tailored to the mean model and do not account for the dependence structure of the features, which…

机器学习 · 统计学 2023-12-07 Inbeom Lee , Siyi Deng , Yang Ning

Motivated by an application in high-throughput genomics and metabolomics, we propose a novel, efficient and fully data-driven approach for estimating large block structured sparse covariance matrices in the case where the number of…

统计方法学 · 统计学 2019-12-09 Marie Perrot-Dockès , Céline Lévy-Leduc , Loïc Rajjou

Discriminating patients with Alzheimer's disease (AD) from healthy subjects is a crucial task in the research of Alzheimer's disease. The task can be potentially achieved by linear discriminant analysis (LDA), which is one of the most…

统计方法学 · 统计学 2020-05-05 Yingjie Li , Liangliang Zhang , Tapabrata Maiti

We propose a Bayesian latent variable model to estimate covariate-assisted dependence structures across multiple modalities of multivariate data that may be observed asynchronously. This setting commonly arises in longitudinal biomedical…

统计方法学 · 统计学 2026-05-27 Kun Qian , Hyung G. Park

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…

应用统计 · 统计学 2017-04-27 Jiayi Hou , Anthony Paravati , Ronghui Xu , James Murphy

With the availability of high dimensional genetic biomarkers, it is of interest to identify heterogeneous effects of these predictors on patients' survival, along with proper statistical inference. Censored quantile regression has emerged…

统计方法学 · 统计学 2021-07-26 Zhe Fei , Qi Zheng , Hyokyoung G. Hong , Yi Li

Quadratic discriminant analysis (QDA) is a widely used classification technique that generalizes the linear discriminant analysis (LDA) classifier to the case of distinct covariance matrices among classes. For the QDA classifier to yield…

机器学习 · 计算机科学 2020-06-26 Houssem Sifaou , Abla Kammoun , Mohamed-Slim Alouini

High-dimensional linear classifiers, such as the support vector machine (SVM) and distance weighted discrimination (DWD), are commonly used in biomedical research to distinguish groups of subjects based on a large number of features.…

统计方法学 · 统计学 2017-10-20 Tianmeng Lyu , Eric F. Lock , Lynn E. Eberly

As the amount and complexity of genetic information increases it is necessary that we explore some efficient ways of handling these data. This study takes the "divide and conquer" approach for analyzing high dimensional genomic data. Our…

应用统计 · 统计学 2013-08-15 Deniz Akdemir

Estimations and applications of factor models often rely on the crucial condition that the number of latent factors is consistently estimated, which in turn also requires that factors be relatively strong, data are stationary and weak…

统计理论 · 数学 2020-06-05 Jianqing Fan , Yuan Liao

For factor model, the involved covariance matrix often has no row sparse structure because the common factors may lead some variables to strongly associate with many others. Under the ultra-high dimensional paradigm, this feature causes…

统计方法学 · 统计学 2014-09-22 Junlong Zhao , Hongyu Zhao , Lixing Zhu

Missing data occur frequently in a wide range of applications. In this paper, we consider estimation of high-dimensional covariance matrices in the presence of missing observations under a general missing completely at random model in the…

统计方法学 · 统计学 2016-05-17 T. Tony Cai , Anru Zhang

Dimensionality reduction (DR) is an important technique for data exploration and knowledge discovery. However, most of the main DR methods are either linear (e.g., PCA), do not provide an explicit mapping between the original data and its…

神经与进化计算 · 计算机科学 2022-03-15 Thomas Uriot , Marco Virgolin , Tanja Alderliesten , Peter Bosman

We consider the problem of high-dimensional classification between the two groups with unequal covariance matrices. Rather than estimating the full quadratic discriminant rule, we propose to perform simultaneous variable selection and…

机器学习 · 统计学 2021-04-01 Irina Gaynanova , Tianying Wang