Estimation of misclassification rate in the Asymptotic Rare and Weak model with sub-Gaussian noises

DOI10.1142/s0219691323500017zbMath1519.62012OpenAlexW4312190783MaRDI QIDQ6178166

Z. Zhang, You Ming Liu

Publication date: 1 September 2023

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691323500017

zbMATH Keywords

clusteringpacking numberKullback-Leibler divergencemisclassification ratestatistical limitsub-Gaussian noise

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Cites Work

• Unnamed Item
• Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
• Sparse CCA: adaptive estimation and computational barriers
• Phase transitions for high dimensional clustering and related problems
• Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics
• Higher criticism for detecting sparse heterogeneous mixtures.
• Sharp optimal recovery in the two component Gaussian mixture model
• An \({\ell_p}\) theory of PCA and spectral clustering
• Computationally efficient sparse clustering

This page was built for publication: Estimation of misclassification rate in the Asymptotic Rare and Weak model with sub-Gaussian noises