Functional linear regression that's interpretable
From MaRDI portal
Publication:834333
DOI10.1214/08-AOS641zbMath1171.62041arXiv0908.2918OpenAlexW2025984697MaRDI QIDQ834333
Gareth M. James, Ji Zhu, Jing Wang
Publication date: 19 August 2009
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2918
Nonparametric regression and quantile regression (62G08) Linear regression; mixed models (62J05) Applications of statistics to environmental and related topics (62P12) Generalized linear models (logistic models) (62J12) Linear inference, regression (62J99)
Related Items
Elucidating Age and Sex-Dependent Association Between Frontal EEG Asymmetry and Depression: An Application of Multiple Imputation in Functional Regression, Interpretable dimension reduction for classifying functional data, Consistent variable selection for functional regression models, Feature selection for functional data, Estimator selection and combination in scalar-on-function regression, An adaptive group Lasso approach for domain selection in functional generalized linear models, Sparse functional partial least squares regression with a locally sparse slope function, Variable selection in multivariate linear models for functional data via sparse regularization, Local wavelet-vaguelette-based functional classification of gene expression data, Heterogeneous Spatial Dynamical Regression in a Hilbert-Valued Context, Estimating Truncated Functional Linear Models With a Nested Group Bridge Approach, A Functional Information Criterion for Region Selection in Functional Linear Models, Identification of local sparsity and variable selection for varying coefficient additive hazards models, Selection of time instants and intervals with support vector regression for multivariate functional data, A Note on Application of Nesterov’s Method in Solving Lasso-Type Problems, Smooth LASSO estimator for the function-on-function linear regression model, PCA-based estimation for functional linear regression with functional responses, Regularized 3D functional regression for brain image data via Haar wavelets, Functional Group Bridge for Simultaneous Regression and Support Estimation, Functional Principal Component Regression and Functional Partial Least‐squares Regression: An Overview and a Comparative Study, Checking the adequacy of functional linear quantile regression model, Functional Data Analysis with Covariate-Dependent Mean and Covariance Structures, Methods for Scalar‐on‐Function Regression, Adaptive smoothing spline estimator for the function-on-function linear regression model, Crop Yield Prediction Using Bayesian Spatially Varying Coefficient Models with Functional Predictors, Smooth and locally sparse estimation for multiple-output functional linear regression, Function-on-scalar quantile regression with application to mass spectrometry proteomics data, On properties of percentile bootstrap confidence intervals for prediction in functional linear regression, Lasso in Infinite dimension: application to variable selection in functional multivariate linear regression, On optimal regression trees to detect critical intervals for multivariate functional data, Locally sparse quantile estimation for a partially functional interaction model, Functional concurrent hidden Markov model, Fréchet distance-based cluster analysis for multi-dimensional functional data, Locally Sparse Function-on-Function Regression, Functional regression via variational Bayes, Adaptive estimation in circular functional linear models, Unnamed Item, Learning bounds of ERM principle for sequences of time-dependent samples, Estimation and testing for partially functional linear errors-in-variables models, \(L_1\)-penalization in functional linear regression with subgaussian design, Penalized and Constrained Optimization: An Application to High-Dimensional Website Advertising, A Semiparametric Change-Point Regression Model for Longitudinal Observations, Dynamic single-index model for functional data, A novel framework for joint sparse clustering and alignment of functional data, Sparse clustering of functional data, Bayesian functional linear regression with sparse step functions, Interpretable sparse SIR for functional data, Regularised forecasting via smooth-rough partitioning of the regression coefficients, Variable selection in classification for multivariate functional data, Scalar-on-function regression for predicting distal outcomes from intensively gathered longitudinal data: interpretability for applied scientists, Truncated estimation in functional generalized linear regression models, Functional linear regression with points of impact, Time-varying correlation structure estimation and local-feature detection for spatio-temporal data, Functional linear regression for functional response via sparse basis selection, Functional logistic regression: a comparison of three methods, Estimation in functional linear quantile regression, The structured elastic net for quantile regression and support vector classification, Elastic functional principal component regression, Cox regression models with functional covariates for survival data, The functional linear array model, Posterior concentration for a misspecified Bayesian regression model with functional covariates, Adaptive Global Testing for Functional Linear Models, A faster U-statistic for testing independence in the functional linear models, Interpretable functional principal component analysis, Sparse estimation in functional linear regression, Smoothly adaptively centered ridge estimator, Penalized relative error estimation of functional multiplicative regression models with locally sparse properties, Resampling Techniques for Estimating the Distribution of Descriptive Statistics of Functional Data, Estimation in Functional Lagged Regression, Statistical inference for the slope parameter in functional linear regression, Interval-wise testing for functional data, Robust penalized estimators for functional linear regression
Uses Software
Cites Work
- Unnamed Item
- Longitudinal data analysis using generalized linear models
- Curves discrimination: a nonparametric functional approach
- Multivariate statistical modelling based on generalized linear models. With contributions by Wolfgang Hennevogl
- The functional nonparametric model and applications to spectrometric data
- Applied functional data analysis. Methods and case studies
- Least angle regression. (With discussion)
- Generalized functional linear models
- The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
- Functional data analysis.
- Functional Linear Discriminant Analysis for Irregularly Sampled Curves
- Variable Inclusion and Shrinkage Algorithms
- Decoding by Linear Programming
- DASSO: Connections Between the Dantzig Selector and Lasso
- A generalized Dantzig selector with shrinkage tuning
- Atomic Decomposition by Basis Pursuit
- Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
- Regression Analysis for a Functional Response
- Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
- Asymptotic Confidence Regions for Kernel Smoothing of a Varying-Coefficient Model with Longitudinal Data
- Generalized Linear Models with Functional Predictors
- Sparsity and Smoothness Via the Fused Lasso
- A Statistical View of Some Chemometrics Regression Tools
- Semiparametric and Nonparametric Regression Analysis of Longitudinal Data
- Regularization and Variable Selection Via the Elastic Net
- Functional Adaptive Model Estimation