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We develop a fully Bayesian framework for function-on-scalars regression with many predictors. The functional data response is modeled nonparametrically using unknown basis functions, which produces a flexible and data-adaptive functional…

统计方法学 · 统计学 2018-10-25 Daniel R. Kowal , Daniel C. Bourgeois

Modern biomedical studies frequently collect complex, high-dimensional physiological signals using wearables and sensors along with time-to-event outcomes, making efficient variable selection methods crucial for interpretation and improving…

统计方法学 · 统计学 2026-04-22 Yuanzhen Yue , Stella Self , Yichao Wu , Jiajia Zhang , Rahul Ghosal

We consider inference for misaligned multivariate functional data that represents the same underlying curve, but where the functional samples have systematic differences in shape. In this paper we introduce a new class of generally…

应用统计 · 统计学 2023-01-23 Niels Lundtorp Olsen , Bo Markussen , Lars Lau Rakêt

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

统计理论 · 数学 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

Accelerometry has been extensively studied as an objective means of measuring upper limb function in patients post-stroke. The objective of this paper is to determine whether the accelerometry-derived measurements frequently used in more…

机器学习 · 计算机科学 2023-11-09 Mackenzie Wallich , Kenneth Lai , Svetlana Yanushkevich

We present a new methodology for simultaneous variable selection and parameter estimation in function-on-scalar regression with an ultra-high dimensional predictor vector. We extend the LASSO to functional data in both the $\textit{dense}$…

统计理论 · 数学 2016-10-25 Rina Foygel Barber , Matthew Reimherr , Thomas Schill

In this paper, we study a functional regression setting where the random response curve is unobserved, and only its dichotomized version observed at a sequence of correlated binary data is available. We propose a practical computational…

统计方法学 · 统计学 2020-12-07 Fatemeh Asgari , Mohammad Hossein Alamatsaz , Valeria Vitelli , Saeed Hayati

In this work, we developed a new Bayesian method for variable selection in function-on-scalar regression (FOSR). Our method uses a hierarchical Bayesian structure and latent variables to enable an adaptive covariate selection process for…

统计方法学 · 统计学 2026-03-31 Pedro Henrique T. O. Sousa , Camila P. E. de Souza , Ronaldo Dias

The focus of this work is on spatial variable selection for scalar-on-image regression. We propose a new class of Bayesian nonparametric models, soft-thresholded Gaussian processes and develop the efficient posterior computation algorithms.…

统计方法学 · 统计学 2016-04-13 Jian Kang , Brian J. Reich , Ana-Maria Staicu

Instrumental variables are widely used to adjust for measurement error bias when assessing associations of health outcomes with ME prone independent variables. IV approaches addressing ME in longitudinal models are well established, but few…

统计方法学 · 统计学 2025-09-16 Xiwei Chen , Ufuk Beyaztas , Caihong Qin , Heyang Ji , Gilson Honvoh , Roger S. Zoh , Lan Xue , Carmen D. Tekwe

We propose a new variable selection procedure for a functional linear model with multiple scalar responses and multiple functional predictors. This method is based on basis expansions of the involved functional predictors and coefficients…

统计理论 · 数学 2023-11-03 Alban Mina Mbina , Guy Martial Nkiet

Motivated by recent data analyses in biomedical imaging studies, we consider a class of image-on-scalar regression models for imaging responses and scalar predictors. We propose using flexible multivariate splines over triangulations to…

统计方法学 · 统计学 2021-06-04 Shan Yu , Guannan Wang , Li Wang , Lijian Yang

We consider nonlinear mixed effects models including high-dimensional covariates to model individual parameters variability. The objective is to identify relevant covariates among a large set under sparsity assumption and to estimate model…

统计理论 · 数学 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

The functional linear model is a popular tool to investigate the relationship between a scalar/functional response variable and a scalar/functional covariate. We generalize this model to a functional linear mixed-effects model when repeated…

统计方法学 · 统计学 2016-01-07 Baisen Liu , Jiguo Cao

Time series of counts occurring in various applications are often overdispersed, meaning their variance is much larger than the mean. This paper proposes a novel variable selection approach for processing such data. Our approach consists in…

统计方法学 · 统计学 2023-07-04 Marina Gomtsyan

Recently, considerable interest has focused on variable selection methods in regression situations where the number of predictors, $p$, is large relative to the number of observations, $n$. Two commonly applied variable selection approaches…

应用统计 · 统计学 2011-04-19 Peter Radchenko , Gareth M. James

In practical regression applications, multiple covariates are often measured, but not all may be associated with the response variable. Identifying and including only the relevant covariates in the model is crucial for improving prediction…

统计方法学 · 统计学 2026-03-10 Ana Carolina da Cruz , Camila P. E. de Souza , Pedro H. T. O. Sousa

We develop a modeling framework for dynamic function-on-scalars regression, in which a time series of functional data is regressed on a time series of scalar predictors. The regression coefficient function for each predictor is allowed to…

统计方法学 · 统计学 2018-10-25 Daniel R. Kowal

We develop a new method for multivariate scalar on multidimensional distribution regression. Traditional approaches typically analyze isolated univariate scalar outcomes or consider unidimensional distributional representations as…

统计方法学 · 统计学 2023-10-17 Rahul Ghosal , Marcos Matabuena

Biomechanics and human movement research often involves measuring multiple kinematic or kinetic variables regularly throughout a movement, yielding data that present as smooth, multivariate, time-varying curves and are naturally amenable to…

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