Support vector machine classifiers by non-Euclidean margins

DOI10.3934/mfc.2020018zbMath1485.68222OpenAlexW3037037479MaRDI QIDQ2063337

Qi Ye, Ying Lin

Publication date: 11 January 2022

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2020018

zbMATH Keywords

reproducing kernel Banach spacesupport vector machine classifiernon-Euclidean margin

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Classification and discrimination; cluster analysis (statistical aspects) (62H30) 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)

Cites Work

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• Reproducing Kernel Banach Spaces with the ℓ¹ Norm II: Error Analysis for Regularized Least Square Regression
• Support Vector Machines
• Generalized Mercer Kernels and Reproducing Kernel Banach Spaces
• Generalized representer theorems in Banach spaces

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