no code implementations • 17 Jan 2023 • Lei LI, Jian-Guo Liu, Yuliang Wang
We consider the geometric ergodicity of the Stochastic Gradient Langevin Dynamics (SGLD) algorithm under nonconvexity settings.
no code implementations • 19 Jul 2022 • Lei LI, Yuliang Wang
We establish a sharp uniform-in-time error estimate for the Stochastic Gradient Langevin Dynamics (SGLD), which is a popular sampling algorithm.
no code implementations • 11 Jul 2022 • Lei LI, Yuliang Wang
The main technique is to establish the exponential decay rates of the derivatives of the solution to the backward Kolmogorov equation.
2 code implementations • 1 Dec 2019 • Yuchen Guo, Nicholas Hanoian, Zhexiao Lin, Nicholas Liskij, Hanbaek Lyu, Deanna Needell, Jiahao Qu, Henry Sojico, Yuliang Wang, Zhe Xiong, Zhenhong Zou
We propose a novel model for a topic-aware chatbot by combining the traditional Recurrent Neural Network (RNN) encoder-decoder model with a topic attention layer based on Nonnegative Matrix Factorization (NMF).