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We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Set classification aims to classify a set of observations as a whole, as opposed to classifying individual observations separately. To formally understand the unfamiliar concept of binary set classification, we first investigate the optimal…

机器学习 · 统计学 2020-06-29 Zhao Ren , Sungkyu Jung , Xingye Qiao

Long-term adherence to medication is a critical factor in preventing chronic diseases, such as cardiovascular disease. To address poor adherence, physicians may recommend adherence-improving interventions; however, such interventions are…

最优化与控制 · 数学 2026-02-24 Daniel Otero-Leon , Mariel Lavieri , Brian Denton , Jeremy Sussman , Rodney Hayward

In prediction problems, it is common to model the data-generating process and then use a model-based procedure, such as a Bayesian predictive distribution, to quantify uncertainty about the next observation. However, if the posited model is…

统计方法学 · 统计学 2021-07-06 Pei-Shien Wu , Ryan Martin

Covariances from categorical variables are defined using a regular simplex expression for categories. The method follows the variance definition by Gini, and it gives the covariance as a solution of simultaneous equations. The calculated…

机器学习 · 计算机科学 2007-11-29 Hirotaka Niitsuma , Takashi Okada

We propose a penalized likelihood method to fit the bivariate categorical response regression model. Our method allows practitioners to estimate which predictors are irrelevant, which predictors only affect the marginal distributions of the…

统计方法学 · 统计学 2022-01-25 Aaron J. Molstad , Adam J. Rothman

Data from both a randomized trial and an observational study are sometimes simultaneously available for evaluating the effect of an intervention. The randomized data typically allows for reliable estimation of average treatment effects but…

统计方法学 · 统计学 2021-12-01 David Cheng , Tianxi Cai

An inductive probabilistic classification rule must generally obey the principles of Bayesian predictive inference, such that all observed and unobserved stochastic quantities are jointly modeled and the parameter uncertainty is fully…

机器学习 · 统计学 2015-03-25 Henrik Nyman , Jie Xiong , Johan Pensar , Jukka Corander

We consider Bayesian model selection in generalized linear models that are high-dimensional, with the number of covariates p being large relative to the sample size n, but sparse in that the number of active covariates is small compared to…

统计理论 · 数学 2011-12-26 Rina Foygel , Mathias Drton

An accurate multiclass classification strategy is crucial to interpreting antibody tests. However, traditional methods based on confidence intervals or receiver operating characteristics lack clear extensions to settings with more than two…

定量方法 · 定量生物学 2024-05-07 Rayanne A. Luke , Anthony J. Kearsley , Paul N. Patrone

In this work we consider time series with a finite number of discrete point changes. We assume that the data in each segment follows a different probability density functions (pdf). We focus on the case where the data in all segments are…

数据分析、统计与概率 · 物理学 2007-05-23 Ali Mohammad-Djafari , Olivier Feron

Clinical prediction models enable healthcare professionals to estimate individual outcomes using patient characteristics. Current sample size guidelines for developing or updating models with continuous outcomes aim to minimise overfitting…

We propose a monitoring strategy for efficient and robust estimation of disease prevalence and case numbers within closed and enumerated populations such as schools, workplaces, or retirement communities. The proposed design relies largely…

统计方法学 · 统计学 2024-04-22 Robert H. Lyles , Yuzi Zhang , Lin Ge , Lance A. Waller

Motivated by regression analysis for microbiome compositional data, this paper considers generalized linear regression analysis with compositional covariates, where a group of linear constraints on regression coefficients are imposed to…

统计方法学 · 统计学 2018-01-11 Jiarui Lu , Pixu Shi , Hongzhe Li

Gaussian process (GP) models are widely used to analyze spatially referenced data and to predict values at locations without observations. In contrast to many algorithmic procedures, GP models are based on a statistical framework, which…

统计计算 · 统计学 2020-01-01 Florian Gerber , Douglas W. Nychka

We study the high-dimensional linear regression problem with categorical predictors that have many levels. We propose a new estimation approach, which performs model compression via two mechanisms by simultaneously encouraging (a)…

统计方法学 · 统计学 2026-03-30 Kayhan Behdin , Riade Benbaki , Peter Radchenko , Rahul Mazumder

Variable selection has played a critical role in modern statistical learning and scientific discoveries. Numerous regularization and Bayesian variable selection methods have been developed in the past two decades for variable selection, but…

统计方法学 · 统计学 2024-03-04 Travis Canida , Hongjie Ke , Shuo Chen , Zhenayo Ye , Tianzhou Ma

The focus of this paper is on quantifying the capacity of covariates in devising efficient treatment rules when data from a randomized trial are available. Conventional one-variable-at-a-time subgroup analysis based on statistical…

应用统计 · 统计学 2020-02-04 Mohsen Sadatsafavi , Mohammad Mansournia , Paul Gustafson

The goal of this paper is to design a causal inference method accounting for complex interactions between causal factors. The proposed method relies on a category theoretical reformulation of the definitions of dependent variables,…

统计理论 · 数学 2020-06-16 Rémy Tuyéras

Statistical inference on the explained variation of an outcome by a set of covariates is of particular interest in practice. When the covariates are of moderate to high-dimension and the effects are not sparse, several approaches have been…

统计方法学 · 统计学 2022-01-24 Hua Yun Chen