Principal feature detection via $\phi $-Sobolev inequalities

DOI10.3150/23-BEJ1702zbMATH Open1545.68121MaRDI QIDQ6589581

Olivier Zahm, Youssef M. Marzouk, Matthew T. C. Li

Publication date: 20 August 2024

Published in: Bernoulli (Search for Journal in Brave)

Bayesian inference principal components feature detection $ \phi $-Sobolev inequalities Amari $\alpha $-divergences gradient-based dimension reduction

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Bayesian inference (62F15) Pattern recognition, speech recognition (68T10) Measures of information, entropy (94A17) Inequalities involving derivatives and differential and integral operators (26D10) Computational aspects of data analysis and big data (68T09)

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Principal feature detection via \(\phi \)-Sobolev inequalities