Adaptive distributed methods under communication constraints
From MaRDI portal
Publication:2215741
DOI10.1214/19-AOS1890zbMath1455.62097arXiv1804.00864MaRDI QIDQ2215741
Harry van Zanten, Botond Szabó
Publication date: 14 December 2020
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.00864
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20) Statistical aspects of information-theoretic topics (62B10)
Related Items (8)
Nonparametric Bayesian Aggregation for Massive Data ⋮ An asymptotic analysis of distributed nonparametric methods ⋮ Distributed nonparametric function estimation: optimal rate of convergence and cost of adaptation ⋮ Optimal high-dimensional and nonparametric distributed testing under communication constraints ⋮ On lower bounds for the bias-variance trade-off ⋮ Distributed function estimation: adaptation using minimal communication ⋮ Distributed linear regression by averaging ⋮ Distributed adaptive Gaussian mean estimation with unknown variance: interactive protocol helps adaptation
Cites Work
- Unnamed Item
- Honest and adaptive confidence sets in \(L_p\)
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- Wavelets, approximation, and statistical applications
- Information-theoretic determination of minimax rates of convergence
- Distributed testing and estimation under sparse high dimensional models
- Adaptive estimation of the transition density of a particular hidden Markov chain
- Mathematical Foundations of Infinite-Dimensional Statistical Models
- On the optimality of averaging in distributed statistical learning
- A Scalable Bootstrap for Massive Data
- An asymptotic analysis of distributed nonparametric methods
- Quantized minimax estimation over Sobolev ellipsoids
- On the Sum Rate of Gaussian Multiterminal Source Coding: New Proofs and Results
- PenalizationversusGoldenshluger − Lepski strategies in warped bases regression
- Introduction to nonparametric estimation
This page was built for publication: Adaptive distributed methods under communication constraints