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This paper aims to front with dimensionality reduction in regression setting when the predictors are a mixture of functional variable and high-dimensional vector. A flexible model, combining both sparse linear ideas together with…

Statistics Theory · Mathematics 2024-01-29 Silvia Novo , Germán Aneiros , Philippe Vieu

In this paper, we propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously in a scalar-on-function regression problem under high-dimensional multivariate functional data setting.…

Methodology · Statistics 2022-05-04 Ali Mahzarnia , Jun Song

Motivation: Omics data, such as transcriptomics or phosphoproteomics, are broadly used to get a snap-shot of the molecular status of cells. In particular, changes in omics can be used to estimate the activity of pathways, transcription…

Nonstationarity in spatial and spatio-temporal processes is ubiquitous in environmental datasets, but is not often addressed in practice, due to a scarcity of statistical software packages that implement nonstationary models. In this…

Computation · Statistics 2025-12-10 Quan Vu , Xuanjie Shao , Raphaël Huser , Andrew Zammit-Mangion

The advent of big data has raised significant challenges in analysing high-dimensional datasets across various domains such as medicine, ecology, and economics. Functional Data Analysis (FDA) has proven to be a robust framework for…

Machine Learning · Statistics 2024-08-23 Fabrizio Maturo , Annamaria Porreca

Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to large sets of complicated rational functions, performance of…

High Energy Physics - Phenomenology · Physics 2022-12-19 Dominik Bendle , Janko Boehm , Murray Heymann , Rourou Ma , Mirko Rahn , Lukas Ristau , Marcel Wittmann , Zihao Wu , Yang Zhang

Symmetric positive definite (SPD) matrices arising from functional connectivity analysis of neuroimaging data can be endowed with a Riemannian geometric structure that standard methods fail to respect. While existing R packages provide some…

Computation · Statistics 2025-11-12 Nicolas Escobar-Velasquez

We propose a generalized partially linear functional single index risk score model for repeatedly measured outcomes where the index itself is a function of time. We fuse the nonparametric kernel method and regression spline method, and…

Statistics Theory · Mathematics 2015-10-15 Fei Jiang , Yanyuan Ma , Yuanjia Wang

We introduce SymbolFit, a framework that automates parametric modeling by using symbolic regression to perform a machine-search for functions that fit the data while simultaneously providing uncertainty estimates in a single run.…

High Energy Physics - Experiment · Physics 2025-07-04 Ho Fung Tsoi , Dylan Rankin , Cecile Caillol , Miles Cranmer , Sridhara Dasu , Javier Duarte , Philip Harris , Elliot Lipeles , Vladimir Loncar

The regression of a functional response on a set of scalar predictors can be a challenging task, especially if there is a large number of predictors, or the relationship between those predictors and the response is nonlinear. In this work,…

Machine Learning · Statistics 2023-08-24 Sidi Wu , Cédric Beaulac , Jiguo Cao

The complexity of semiparametric models poses new challenges to statistical inference and model selection that frequently arise from real applications. In this work, we propose new estimation and variable selection procedures for the…

Statistics Theory · Mathematics 2011-03-09 Bo Kai , Runze Li , Hui Zou

The past decade has seen an increasing body of literature devoted to the estimation of causal effects in network-dependent data. However, the validity of many classical statistical methods in such data is often questioned. There is an…

Computation · Statistics 2017-05-31 Oleg Sofrygin , Romain Neugebauer , Mark J. van der Laan

Scalar-on-function linear models are commonly used to regress functional predictors on a scalar response. However, functional models are more difficult to estimate and interpret than traditional linear models, and may be unnecessarily…

Methodology · Statistics 2019-06-13 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

This paper studies a \textit{partial functional partially linear single-index model} that consists of a functional linear component as well as a linear single-index component. This model generalizes many well-known existing models and is…

Statistics Theory · Mathematics 2017-03-09 Qingguo Tang , Linglong Kong , David Ruppert , Rohana J. Karunamuni

In light of recent work studying massive functional/longitudinal data, such as the resulting data from the COVID-19 pandemic, we propose a novel functional/longitudinal data model which is a combination of the popular varying coefficient…

Methodology · Statistics 2020-07-06 Lixia Hu , Tao Huang , Jinhong You

In the common partially linear single-index model we establish a Bahadur representation for a smoothing spline estimator of all model parameters and use this result to prove the joint weak convergence of the estimator of the index link…

Statistics Theory · Mathematics 2024-07-03 Jiajun Tang , Holger Dette

Wearable devices enable the continuous monitoring of physical activity (PA) but generate complex functional data with poorly characterized errors. Most work on functional data views the data as smooth, latent curves obtained at discrete…

Methodology · Statistics 2024-04-17 Xiwei Chen , Yuanyuan Luan , Roger S. Zoh , Lan Xue , Sneha Jadhav , Carmen D. Tekwe

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

Methodology · Statistics 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

The spatial random-effects model is flexible in modeling spatial covariance functions, and is computationally efficient for spatial prediction via fixed rank kriging. However, the success of this model depends on an appropriate set of basis…

Methodology · Statistics 2015-04-23 ShengLi Tzeng , Hsin-Cheng Huang

Physical activity (PA) intervention studies often collect repeated intensity measurements over long observation periods. Quantifying the variation in intervention effects over the study period is critical to evaluating and improving…

Applications · Statistics 2026-05-12 Nidhi Pai , Yu Lu , Kristin A. Linn , Erjia Cui