Isotonic regression in multi-dimensional spaces and graphs

DOI10.1214/20-AOS1947zbMath1462.62208arXiv1812.08944OpenAlexW3110679391MaRDI QIDQ1996789

Yanyan Li

Publication date: 26 February 2021

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08944

zbMATH Keywords

adaptive estimationvariable selectionisotonic regressionrandom designoracle propertyminimax ratelattice designmultiple isotonic regressionblock estimatorisotonic regression on graphsmax-min estimatormin-max estimator

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20) Response surface designs (62K20) Probabilistic graphical models (62H22)

Related Items (7)

Isotonic regression with unknown permutations: statistics, computation and adaptation ⋮ Frame-constrained total variation regularization for white noise regression ⋮ Coverage of credible intervals in Bayesian multivariate isotonic regression ⋮ Estimation and bootstrap for stochastically monotone Markov processes ⋮ Posterior contraction and testing for multivariate isotonic regression ⋮ Confidence intervals for multiple isotonic regression and other monotone models ⋮ Adaptive estimation of multivariate piecewise polynomials and bounded variation functions by optimal decision trees

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