A unified Φ-Sobolev proof transfers Poincaré and log-Sobolev inequalities from mixture components to their mixture or joint distribution, with explicit constants and Markov chain Monte Carlo applications.
Entropies, convexity, and functional inequalities, on -entropies and -sobolev inequalities
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo
A unified Φ-Sobolev proof transfers Poincaré and log-Sobolev inequalities from mixture components to their mixture or joint distribution, with explicit constants and Markov chain Monte Carlo applications.