Thermostat-assisted continuously-tempered Hamiltonian Monte Carlo for Bayesian learning

Rui Luo, Jianhong Wang, Yaodong Yang, Jun WANG, Zhanxing Zhu

Neural Information Processing Systems 

We propose a new sampling method, the thermostat-assisted continuously-tempered Hamiltonian Monte Carlo, for Bayesian learning on large datasets and multimodal distributions. It simulates the Nosé-Hoover dynamics of a continuously-tempered Hamiltonian system built on the distribution of interest. A significant advantage of this method is that it is not only able to efficiently draw representative i.i.d.

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