3 citations · 4 across the 3 of their papers we have counts for
8 papers
Value-Gradient based Formulation of Optimal Control Problem and Machine Learning Algorithm
Alain Bensoussan, Jiayue Han, Sheung Chi Phillip Yam +1
Optimal control problem is typically solved by first finding the value function through Hamilton-Jacobi equation (HJE) and then taking the minimizer of the Hamiltonian to obtain th…
Projection Method for Saddle Points of Energy Functional in Metric
Shuting Gu, Ling Lin, Xiang Zhou
Saddle points play important roles as the transition states of activated process in gradient system driven by energy functional. However, for the same energy functional, the saddle…
Machine Learning and Control Theory
Alain Bensoussan, Yiqun Li, Dinh Phan Cao Nguyen +3
We survey in this article the connections between Machine Learning and Control Theory. Control Theory provide useful concepts and tools for Machine Learning. Conversely Machine Lea…
Enumerating Chemical Graphs with Two Disjoint Cycles Satisfying Given Path Frequency Specifications
Kyousuke Yamashita, Ryuji Masui, Xiang Zhou +4
Enumerating chemical graphs satisfying given constraints is a fundamental problem in mathematical and computational chemistry, and plays an essential part in a recently proposed fr…
Explicit Estimation of Derivatives from Data and Differential Equations by Gaussian Process Regression
Hongqiao Wang, Xiang Zhou
In this work, we employ the Bayesian inference framework to solve the problem of estimating the solution and particularly, its derivatives, which satisfy a known differential equat…
Stochastic Modified Equations for Continuous Limit of Stochastic ADMM
Xiang Zhou, Huizhuo Yuan, Chris Junchi Li +1
Stochastic version of alternating direction method of multiplier (ADMM) and its variants (linearized ADMM, gradient-based ADMM) plays a key role for modern large scale machine lear…