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We propose a method for variable selection and basis learning for high-dimensional classification with ordinal responses. The proposed method extends sparse multiclass linear discriminant analysis, with the aim of identifying not only the…

Methodology · Statistics 2025-02-17 Minwoo Kim , Sangil Han , Jeongyoun Ahn , Sungkyu Jung

Many data sources are naturally modeled by multiple weight assignments over a set of keys: snapshots of an evolving database at multiple points in time, measurements collected over multiple time periods, requests for resources served at…

Databases · Computer Science 2010-11-11 Edith Cohen , Haim Kaplan , Subhabrata Sen

In this article, we study a partially linear single-index model for longitudinal data under a general framework which includes both the sparse and dense longitudinal data cases. A semiparametric estimation method based on a combination of…

Statistics Theory · Mathematics 2015-07-31 Jia Chen , Degui Li , Hua Liang , Suojin Wang

In clinical trials involving paired organs such as eyes, ears, and kidneys, binary outcomes may be collected bilaterally or unilaterally. In such combined datasets, bilateral outcomes exhibit intra-subject correlation, while unilateral…

Methodology · Statistics 2025-08-19 Jia Zhou , Chang-Xing Ma

Many variables of interest in clinical medicine, like disease severity, are recorded using discrete ordinal categories such as normal/mild/moderate/severe. These labels are used to train and evaluate disease severity prediction models.…

Score matching estimators have gained widespread attention in recent years partly because they are free from calculating the integral of normalizing constant, thereby addressing the computational challenges in maximum likelihood estimation…

Machine Learning · Statistics 2024-10-08 Haoqun Cao , Zizhuo Meng , Tianjun Ke , Feng Zhou

There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

Statistics Theory · Mathematics 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

The geographically weighted regression (GWR) is a well-known statistical approach to explore spatial non-stationarity of the regression relationship in spatial data analysis. In this paper, we discuss a Bayesian recourse of GWR. Bayesian…

Applications · Statistics 2020-07-07 Zhihua Ma , Yishu Xue , Guanyu Hu

Modeling correlated or highly stratified multiple-response data becomes a common data analysis task due to modern data monitoring facilities and methods. Generalized estimating equations (GEE) is one of the popular statistical methods for…

Methodology · Statistics 2019-03-05 Zimu Chen , Zhanfeng Wang , Yuan-chin Ivan Chang

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

We pursue tractable Bayesian analysis of generalized linear models (GLMs) for categorical data. Thus far, GLMs are difficult to scale to more than a few dozen categories due to non-conjugacy or strong posterior dependencies when using…

Machine Learning · Statistics 2022-06-02 Michael T. Wojnowicz , Shuchin Aeron , Eric L. Miller , Michael C. Hughes

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

Machine Learning · Statistics 2025-03-05 Rui Luo , Zhixin Zhou

We study the problem of identifying change points in high-dimensional generalized linear models, and propose an approach based on sample-weighted empirical risk minimization. Our method, Weighted ERM, encodes priors on the change points via…

Methodology · Statistics 2026-04-14 Gabriel Arpino , Ramji Venkataramanan

Under stringent model type and variable distribution assumptions, differentiable score-based causal discovery methods learn a directed acyclic graph (DAG) from observational data by evaluating candidate graphs over an average score…

Machine Learning · Computer Science 2023-03-07 An Zhang , Fangfu Liu , Wenchang Ma , Zhibo Cai , Xiang Wang , Tat-seng Chua

Here we propose an algorithm, named generalized orthogonal components regression (GOCRE), to explore the relationship between a categorical outcome and a set of massive variables. A set of orthogonal components are sequentially constructed…

Methodology · Statistics 2013-04-18 Yanzhu Lin , Min Zhang , Dabao Zhang

Longitudinal data are commonly encountered in biomedical research, including randomized trials and retrospective cohort studies. Subjects are typically followed over a period of time and may be scheduled for follow-up at pre-determined time…

Methodology · Statistics 2025-10-23 George Stefan , Eleanor Pullenayegum

In this paper, we study estimation of nonlinear models with cross sectional data using two-step generalized estimating equations (GEE) in the quasi-maximum likelihood estimation (QMLE) framework. In the interest of improving efficiency, we…

Econometrics · Economics 2018-10-16 Cuicui Lu , Weining Wang , Jeffrey M. Wooldridge

In this paper, a novel approach for the optimal combination of binary classifiers is proposed. The classifier combination problem is approached from a Game Theory perspective. The proposed framework of adapted weighted majority rules (WMR)…

Machine Learning · Computer Science 2013-02-05 Harris V. Georgiou , Michael E. Mavroforakis

Multivariate sign functions are often used for robust estimation and inference. We propose using data dependent weights in association with such functions. The proposed weighted sign functions retain desirable robustness properties, while…

Methodology · Statistics 2022-06-22 Subhabrata Majumdar , Snigdhansu Chatterjee

In the multiple linear regression setting, we propose a general framework, termed weighted orthogonal components regression (WOCR), which encompasses many known methods as special cases, including ridge regression and principal components…

Machine Learning · Statistics 2018-01-24 Xiaogang Su , Yaa Wonkye , Pei Wang , Xiangrong Yin