Optimal learning rates for distribution regression

DOI10.1016/j.jco.2019.101426zbMath1435.62259OpenAlexW2969928494MaRDI QIDQ2283125

Zhiying Fang, Ding-Xuan Zhou, Zheng-Chu Guo

Publication date: 30 December 2019

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2019.101426

zbMATH Keywords

integral operatorreproducing kernel Hilbert spaceoptimal learning ratedistribution regressionmean embedding

Mathematics Subject Classification ID

General nonlinear regression (62J02) Learning and adaptive systems in artificial intelligence (68T05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (7)

Distributed spectral pairwise ranking algorithms ⋮ Learning rate of distribution regression with dependent samples ⋮ Estimates on learning rates for multi-penalty distribution regression ⋮ Deep learning theory of distribution regression with CNNs ⋮ Coefficient-based regularized distribution regression ⋮ Distributed learning and distribution regression of coefficient regularization ⋮ Robust kernel-based distribution regression

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• Deep distributed convolutional neural networks: Universality
• 10.1162/jmlr.2003.3.4-5.651
• Thresholded spectral algorithms for sparse approximations
• Learning theory of distributed spectral algorithms

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