Variable selection consistency of Gaussian process regression
From MaRDI portal
Publication:2054515
DOI10.1214/20-AOS2043zbMath1486.62110arXiv1912.05738OpenAlexW3213239135MaRDI QIDQ2054515
Publication date: 3 December 2021
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05738
adaptive estimationBayesian inferencehigh-dimensional regressionGaussian process priorsnonparametric variable selection
Nonparametric regression and quantile regression (62G08) Gaussian processes (60G15) Asymptotic properties of nonparametric inference (62G20)
Related Items (2)
Adaptive variational Bayes: optimality, computation and applications ⋮ Optimal Bayesian estimation of Gaussian mixtures with growing number of components
Cites Work
- Unnamed Item
- Unnamed Item
- Bayesian variable selection with shrinking and diffusing priors
- On the computational complexity of high-dimensional Bayesian variable selection
- Statistics for high-dimensional data. Methods, theory and applications.
- Adaptive Bernstein-von Mises theorems in Gaussian white noise
- Tight conditions for consistency of variable selection in the context of high dimensionality
- Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth
- Bayesian linear regression with sparse priors
- SLOPE-adaptive variable selection via convex optimization
- Convergence rates of posterior distributions for non iid observations
- Variable selection in nonparametric regression with continuous covariates
- Metric entropy and the small ball problem for Gaussian measures
- Approximation, metric entropy and small ball estimates for Gaussian measures
- Optimal global rates of convergence for nonparametric regression
- Convergence rates of posterior distributions.
- Minimax risks for sparse regressions: ultra-high dimensional phenomenons
- Honest adaptive confidence bands and self-similar functions
- Selection of variables and dimension reduction in high-dimensional non-parametric regression
- Lower bounds for posterior rates with Gaussian process priors
- Minimax-optimal nonparametric regression in high dimensions
- Confidence bands in density estimation
- Adaptive variable selection in nonparametric sparse additive models
- Nonparametric Bayesian model selection and averaging
- Anisotropic function estimation using multi-bandwidth Gaussian processes
- Rodeo: Sparse, greedy nonparametric regression
- Frequentist coverage of adaptive nonparametric Bayesian credible sets
- Small Deviations of Smooth Stationary Gaussian Processes
- Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh
- High-Dimensional Statistics
- Information-Theoretic Limits on Sparsity Recovery in the High-Dimensional and Noisy Setting
- Decoupling Shrinkage and Selection in Bayesian Linear Models: A Posterior Summary Perspective
- Minimax-optimal rates for sparse additive models over kernel classes via convex programming
- Fundamentals of Nonparametric Bayesian Inference
This page was built for publication: Variable selection consistency of Gaussian process regression