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Poincaré Inequalities with Luxemburg Norms in Lφ(m)-Averaging Domains
Poincaré Inequalities with Luxemburg Norms in Lφ(m)-Averaging Domains
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New statistical kernels analyzed for Markov chains
Researchers have developed new theoretical tools to analyze the statistical properties of sliding-window count kernels derived from stationary Markov chains. The study establishes spectral-gap bounds and Poincaré inequa…
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New isoperimetric approach improves generalization bounds for binary linear classification
Researchers have developed new generalization bounds for binary linear classification using an isoperimetric argument. The study establishes Poincaré and log-Sobolev inequalities for specific data distributions, leading…