函数标量回归方法。
Methods for scalar-on-function regression.
作者信息
Reiss Philip T, Goldsmith Jeff, Shang Han Lin, Ogden R Todd
机构信息
Department of Child and Adolescent Psychiatry and Department of Population Health, New York University School of Medicine.
Department of Statistics, University of Haifa.
出版信息
Int Stat Rev. 2017 Aug;85(2):228-249. doi: 10.1111/insr.12163. Epub 2016 Feb 23.
Abstract
Recent years have seen an explosion of activity in the field of functional data analysis (FDA), in which curves, spectra, images, etc. are considered as basic data units. A central problem in FDA is how to fit regression models with scalar responses and functional data points as predictors. We review some of the main approaches to this problem, categorizing the basic model types as linear, nonlinear and nonparametric. We discuss publicly available software packages, and illustrate some of the procedures by application to a functional magnetic resonance imaging dataset.
摘要
近年来，功能数据分析（FDA）领域的活动激增，其中曲线、光谱、图像等被视为基本数据单元。FDA中的一个核心问题是如何用标量响应和功能数据点作为预测变量来拟合回归模型。我们回顾了针对此问题的一些主要方法，将基本模型类型分为线性、非线性和非参数模型。我们讨论了公开可用的软件包，并通过应用于一个功能磁共振成像数据集来说明一些程序。
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本文引用的文献
1
Functional Data Classification: A Wavelet Approach.
Comput Stat. 2014 Dec;29(6):1497-1513. doi: 10.1007/s00180-014-0503-4. Epub 2014 Jun 4.
2
Bayesian bandwidth estimation and semi-metric selection for a functional partial linear model with unknown error density.
J Appl Stat. 2020 Mar 3;48(4):583-604. doi: 10.1080/02664763.2020.1736527. eCollection 2021.
3
WAVELET-DOMAIN REGRESSION AND PREDICTIVE INFERENCE IN PSYCHIATRIC NEUROIMAGING.
Ann Appl Stat. 2015 Jun;9(2):1076-1101. doi: 10.1214/15-AOAS829. Epub 2015 Jul 20.
4
Wavelet-Based Scalar-on-Function Finite Mixture Regression Models.
Comput Stat Data Anal. 2016 Jan 1;93:86-96. doi: 10.1016/j.csda.2014.11.017. Epub 2014 Dec 17.
5
REGULARIZED 3D FUNCTIONAL REGRESSION FOR BRAIN IMAGE DATA VIA HAAR WAVELETS.
Ann Appl Stat. 2014 Jun;8(2):1045-1064. doi: 10.1214/14-AOAS736.
6
Estimation of treatment policies based on functional predictors.
Stat Sin. 2014 Jul;24(3):1461-1485. doi: 10.5705/ss.2012.196.
7
Variable Selection in Generalized Functional Linear Models.
Stat. 2013;2(1):86-103. doi: 10.1002/sta4.20.
8
Functional Causal Mediation Analysis With an Application to Brain Connectivity.
J Am Stat Assoc. 2012 Dec 21;107(500):1297-1309. doi: 10.1080/01621459.2012.695640.
9
Structured functional additive regression in reproducing kernel Hilbert spaces.
J R Stat Soc Series B Stat Methodol. 2014 Jun 1;76(3):581-603. doi: 10.1111/rssb.12036.
10
Tensor Regression with Applications in Neuroimaging Data Analysis.
J Am Stat Assoc. 2013;108(502):540-552. doi: 10.1080/01621459.2013.776499.
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