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Langevin Dynamics with Continuous Tempering for Training Deep Neural Networks
Nanyang Ye · Zhanxing Zhu · Rafal Mantiuk

Mon Dec 04 06:30 PM -- 10:30 PM (PST) @ Pacific Ballroom #125

Minimizing non-convex and high-dimensional objective functions is challenging, especially when training modern deep neural networks. In this paper, a novel approach is proposed which divides the training process into two consecutive phases to obtain better generalization performance: Bayesian sampling and stochastic optimization. The first phase is to explore the energy landscape and to capture the `fat'' modes; and the second one is to fine-tune the parameter learned from the first phase. In the Bayesian learning phase, we apply continuous tempering and stochastic approximation into the Langevin dynamics to create an efficient and effective sampler, in which the temperature is adjusted automatically according to the designed ``temperature dynamics''. These strategies can overcome the challenge of early trapping into bad local minima and have achieved remarkable improvements in various types of neural networks as shown in our theoretical analysis and empirical experiments.

Author Information

Nanyang Ye (University of Cambridge)
Zhanxing Zhu (Peking University)
Rafal Mantiuk (University of Cambridge)

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