Optimal Bayesian smoothing of functional observations over a large graph

DOI10.1016/j.jmva.2021.104876OpenAlexW3208312733MaRDI QIDQ2078537

Arkaprava Roy, Subhashis Ghosal

Publication date: 1 March 2022

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.10335

zbMATH Keywords

Gaussian processadaptationfunctional dataposterior contractionminimax rategraph Laplaciangraphical smoothness

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15) Multivariate analysis (62Hxx)

Uses Software

• R
• Amelia
• igraph
• missMDA
• spBayes
• BDgraph
• fdapace
• missForest
• imputeTS
• mtsdi

Cites Work

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• An introduction to recent advances in high/infinite dimensional statistics
• Supremum norm posterior contraction and credible sets for nonparametric multivariate regression
• Estimating a smooth function on a large graph by Bayesian Laplacian regularisation
• Recent advances in functional data analysis and related topics. Selected papers based on the presentations at the international workshop on functional and operatorial statistics (IWFOS'2011), Santander, Spain, June 16--18, 2011.
• Bayesian inverse problems with Gaussian priors
• An analysis of Bayesian inference for nonparametric regression
• Functional and operatorial statistics. Papers presented at the 1st international workshop on functional and operational statistics (IWFOS), Toulouse, France, June 19--21, 2008.
• Rates of contraction of posterior distributions based on Gaussian process priors
• Adaptive Bayesian inference on the mean of an infinite-dimensional normal distribution
• Bayesian quantile regression using random B-spline series prior
• Minimax lower bounds for function estimation on graphs
• Convergence rates of posterior distributions.
• Functional statistics and related fields. Selected papers based on the presentations at the 4th international workshop on functional and operational statistics, IWFOS, Corunna, Spain, June 15--17, 2017
• Editorial on the special issue on functional data analysis and related topics
• Properties of principal component methods for functional and longitudinal data analysis
• Frequentist coverage of adaptive nonparametric Bayesian credible sets
• Bayesian function-on-function regression for multilevel functional data
• Hybrid Dirichlet Mixture Models for Functional Data
• Adaptive Bayesian Procedures Using Random Series Priors
• Bayesian nonparametric functional data analysis through density estimation
• Image Interpolation via Graph-Based Bayesian Label Propagation
• Statistical Analysis of Network Data with R
• Collective dynamics of ‘small-world’ networks
• Fundamentals of Nonparametric Bayesian Inference
• Introduction to nonparametric estimation

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