Methodology and theory for partial least squares applied to functional data
From MaRDI portal
Publication:450036
DOI10.1214/11-AOS958zbMath1246.62084arXiv1205.6367OpenAlexW2033251710MaRDI QIDQ450036
Publication date: 3 September 2012
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.6367
convergence ratesconsistencyprojectioncomputational algorithmcentral limit theoremprincipal componentsfunctional linear modelsgeneralized Fourier basisstochastic expansions
Nonparametric regression and quantile regression (62G08) Factor analysis and principal components; correspondence analysis (62H25) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
Related Items
Estimation in partially observed functional linear quantile regression, Functional Linear Regression Analysis Based on Partial Least Squares and Its Application, Multi-dimensional functional principal component analysis, Sparse functional partial least squares regression with a locally sparse slope function, Estimation for Functional Single Index Models with Unknown Link Functions, Comments on: ``Probability enhanced effective dimension reduction for classifying sparse functional data, Robust estimation for partial functional linear regression models based on FPCA and weighted composite quantile regression, Stochastic functional linear models and Malliavin calculus, Profile Estimation for Partial Functional Partially Linear Single-Index Model, Different perspectives on object oriented data analysis, On the Use of Reproducing Kernel Hilbert Spaces in Functional Classification, Function-on-function partial quantile regression, Estimation on semi-functional linear errors-in-variables models, Varying-coefficient partially functional linear quantile regression models, Selection of time instants and intervals with support vector regression for multivariate functional data, Sparse semiparametric regression when predictors are mixture of functional and high-dimensional variables, A partial overview of the theory of statistics with functional data, Statistical inference in functional semiparametric spatial autoregressive model, Series expansion for functional sufficient dimension reduction, Estimation of functional regression model via functional dimension reduction, Sparse wavelet estimation in quantile regression with multiple functional predictors, Spatial functional normal mixed effect approach for curve classification, PCA-based estimation for functional linear regression with functional responses, Functional envelope for model-free sufficient dimension reduction, Function-on-function regression with thousands of predictive curves, Functional Principal Component Regression and Functional Partial Least‐squares Regression: An Overview and a Comparative Study, A robust scalar-on-function logistic regression for classification, Modeling Spiky Functional Data With Derivatives of Smooth Functions in Function-on-Function Regression, Methods for Scalar‐on‐Function Regression, Classification of multivariate functional data on different domains with partial least squares approaches, Wavelet-based LASSO in functional linear quantile regression, Functional sufficient dimension reduction: convergence rates and multiple functional case, Envelope Model for Function-on-Function Linear Regression, Local optimization of black-box functions with high or infinite-dimensional inputs: application to nuclear safety, Functional data analysis with rough sample paths?, Functional diffusion maps, Unnamed Item, Partial least squares prediction in high-dimensional regression, Estimation and testing for partially functional linear errors-in-variables models, Robust functional sliced inverse regression, Deconvolution When Classifying Noisy Data Involving Transformations, Functional singular component analysis based functional additive models, A robust partial least squares approach for function-on-function regression, Functional continuum regression, A partial least squares approach for function-on-function interaction regression, A robust spatial autoregressive scalar-on-function regression with \(t\)-distribution, Functional linear regression with points of impact, Comments on: ``Probability enhanced effective dimension reduction for classifying sparse functional data, Estimation in functional linear quantile regression, An F-type test for detecting departure from monotonicity in a functional linear model, Fast implementation of partial least squares for function-on-function regression, Wavelet-domain regression and predictive inference in psychiatric neuroimaging, Multi-class classification of biomechanical data: A functional LDA approach based on multi-class penalized functional PLS, Dimension reduction for functional regression with a binary response, Optimal Penalized Function-on-Function Regression Under a Reproducing Kernel Hilbert Space Framework, Resampling Techniques for Estimating the Distribution of Descriptive Statistics of Functional Data
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Degrees of Freedom of Partial Least Squares Regression
- ElemStatLearn
- The smallest eigenvalue of Hankel matrices
- Varying-coefficient functional linear regression
- Inversion des matrices de Hankel. (Inversion of Hankel matrices)
- Prediction in functional linear regression
- On prediction error in functional linear regression
- On partial least squares dimension reduction for microarray-based classification: a simulation study
- PLS regression on a stochastic process
- Clusterwise PLS regression on a stochastic process
- PLS classification on functional data
- Functional PLS logit regression model
- The asymptotic variance of the univariate PLS estimator
- Evaluation of some Hankel determinants
- Nonparametric functional data analysis. Theory and practice.
- Additive modelling of functional gradients
- Partial Least Squares Regression on Smooth Factors
- Functional Principal Component Regression and Functional Partial Least Squares
- A note on functional linear regression
- Numerical Analysis for Statisticians
- An Interpretation of Partial Least Squares
- Additive Splines for Partial Least Squares Regression
- A Statistical View of Some Chemometrics Regression Tools
- Functional quadratic regression
- Varying-Coefficient Functional Linear Regression Models