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math.PR2024
Explicit convergence rates of underdamped Langevin dynamics under weighted and weak Poincaré--Lions inequalities
Giovanni Brigati, Gabriel Stoltz, Andi Q. Wang +1
We study the long-time behavior of the underdamped Langevin dynamics, in the case of so-called \emph{weak confinement}. Indeed, any distribution (in position an…
stat.CO2024★ 1 cited
Weak Poincaré inequality comparisons for ideal and hybrid slice sampling
Sam Power, Daniel Rudolf, Björn Sprungk +1
Using the framework of weak Poincaré inequalities, we provide a general comparison between Hybrid and Ideal Slice Sampling in terms of their corresponding Dirichlet forms. In parti…