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Despite of various similar features, Functional Data Analysis and High-Dimensional Data Analysis are two major fields in Statistics that grew up recently almost independently one from each other. The aim of this paper is to propose a survey…

统计方法学 · 统计学 2024-01-29 Germán Aneiros , Silvia Novo , Philippe Vieu

Many problems within personalized medicine and digital health rely on the analysis of continuous-time functional biomarkers and other complex data structures emerging from high-resolution patient monitoring. In this context, this work…

机器学习 · 统计学 2025-01-14 Marcos Matabuena

This paper analyzes the working or default assumptions researchers in the formal, statistical, and case study traditions typically hold regarding the sources of unexplained variance, the meaning of outliers, parameter values, human…

统计方法学 · 统计学 2022-02-17 Andrew Bennett , Bear F. Braumoeller

In the era of big data, analysts usually explore various statistical models or machine learning methods for observed data in order to facilitate scientific discoveries or gain predictive power. Whatever data and fitting procedures are…

机器学习 · 统计学 2018-10-24 Jie Ding , Vahid Tarokh , Yuhong Yang

The dual problem of testing the predictive significance of a particular covariate, and identification of the set of relevant covariates is common in applied research and methodological investigations. To study this problem in the context of…

统计理论 · 数学 2015-06-11 Julian A. A. Collazos , Adriano Z. Zambom

Feature models are widely used to capture the configuration space of software systems. Although automated reasoning has been studied for detecting problematic features and supporting configuration tasks, significantly less attention has…

Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in conventional multivariate or multiple-response linear regression…

统计理论 · 数学 2011-02-28 Yichao Wu , Jianqing Fan , Hans-Georg Müller

This paper considers the problem of variable selection in regression models in the case of functional variables that may be mixed with other type of variables (scalar, multivariate, directional, etc.). Our proposal begins with a simple null…

Regression methods dominate the practice of biostatistical analysis, but biostatistical training emphasises the details of regression models and methods ahead of the purposes for which such modelling might be useful. More broadly,…

统计方法学 · 统计学 2024-09-12 John B. Carlin , Margarita Moreno-Betancur

Machine learning models usually assume that a set of feature values used to obtain an output is fixed in advance. However, in many real-world problems, a cost is associated with measuring these features. To address the issue of reducing…

机器学习 · 计算机科学 2025-03-13 Katsumi Takahashi , Koh Takeuchi , Hisashi Kashima

Some data analysis applications comprise datasets, where explanatory variables are expensive or tedious to acquire, but auxiliary data are readily available and might help to construct an insightful training set. An example is neuroimaging…

机器学习 · 计算机科学 2021-03-01 Thomas T. Kok , Rachel M. Brouwer , Rene M. Mandl , Hugo G. Schnack , Georg Krempl

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

Multivariable parametric models are critical for designing, controlling, and optimizing the performance of engineered systems. The main aim of this paper is to develop a parametric identification strategy that delivers accurate and…

信号处理 · 电气工程与系统科学 2025-07-01 Maarten van der Hulst , Rodrigo González , Koen Classens , Nic Dirkx , Jeroen van de Wijdeven , Tom Oomen

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

统计理论 · 数学 2012-02-24 Alois Kneip , Pascal Sarda

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

统计方法学 · 统计学 2023-03-09 Cody Carroll , Hans-Georg Müller

Functional data analysis, which handles data arising from curves, surfaces, volumes, manifolds and beyond in a variety of scientific fields, is a rapidly developing area in modern statistics and data science in the recent decades. The…

统计方法学 · 统计学 2020-08-21 Xiaoke Zhang , Wu Xue , Qiyue Wang

Happ and Greven (2018) developed a methodology for principal components analysis of multivariate functional data observed on different dimensional domains. Their approach relies on an estimation of univariate functional principal components…

统计方法学 · 统计学 2025-01-28 Steven Golovkine , Edward Gunning , Andrew J. Simpkin , Norma Bargary

Difference-in-differences (DiD) identification relies mainly on a parallel trends assumption about untreated potential outcomes. Researchers often relax this assumption by assuming conditional parallel trends within units with the same…

统计方法学 · 统计学 2026-05-05 Daniela Rodrigues , Laura A. Hatfield

In many image analysis problems, the contours of objects carry important statistical information about shape. Such contours are typically affected by deformation variables including scaling, translation, rotation, and reparametrization.…

统计方法学 · 统计学 2026-05-26 Issam-Ali Moindjié , Cédric Beaulac , Marie-Hélène Descary

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

统计方法学 · 统计学 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr
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