Stochastic approximation Hamiltonian Monte Carlo

Jonghyun Yun, Minsuk Shin, Ick Hoon Jin, Faming Liang

Research output: Contribution to journalArticle

Abstract

Recently, the Hamilton Monte Carlo (HMC) has become widespread as one of the more reliable approaches to efficient sample generation processes. However, HMC is difficult to sample in a multimodal posterior distribution because the HMC chain cannot cross energy barrier between modes due to the energy conservation property. In this paper, we propose a Stochastic Approximate Hamilton Monte Carlo (SAHMC) algorithm for generating samples from multimodal density under the Hamiltonian Monte Carlo (HMC) framework. SAHMC can adaptively lower the energy barrier to move the Hamiltonian trajectory more frequently and more easily between modes. Our simulation studies show that the potential for SAHMC to explore a multimodal target distribution is more efficient than HMC-based implementations.
Original languageEnglish
JournalJournal of Statistical Computation and Simulation
DOIs
Publication statusPublished - 2020

Fingerprint Dive into the research topics of 'Stochastic approximation Hamiltonian Monte Carlo'. Together they form a unique fingerprint.

  • Cite this