math.PR · 2026-09-24 · No. 123
Probability, 2026-09-24.
1 new papers in math.PR. Titles, authors,
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01 — The papers
1 entries-
01
Local Geometric Mixing via Dobrushin Contraction with Applications to Diffusion Path Monte Carlo and the Proximal Sampler
Stefan Oberdörster
math.PR · cs.LG · stat.CO · stat.ML
Local geometric mixing localizes geometric mixing by requiring geometric convergence to equilibrium in total variation only over finitely many transitions. It accommodates local convergence rates and captures rapid local equilibration, even when global mixing is much slower. We establish and discuss local geometric mixing bounds through Dobrushin contraction. We then apply this approach to Diffusion Path Monte Carlo, a recently proposed...
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