Temperature and Friction Accelerated Sampling of Boltzmann-Gibbs Distribution

Autor: Tao, Molei, Owhadi, Houman, Marsden, Jerrold E.
Rok vydání: 2010
Předmět:
Druh dokumentu: Working Paper
Popis: This paper is concerned with tuning friction and temperature in Langevin dynamics for fast sampling from the canonical ensemble. We show that near-optimal acceleration is achieved by choosing friction so that the local quadratic approximation of the Hamiltonian is a critical damped oscillator. The system is also over-heated and cooled down to its final temperature. The performances of different cooling schedules are analyzed as functions of total simulation time.
Comment: 15 pages, 6 figures
Databáze: arXiv