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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Generalization of Graph Neural Networks and Graph Structural Learning for Robust Representation
图神经网络 泛化 图结构学习 鲁棒表示
2023/4/18
This report consists of two parts associated with graph neural networks: generalization and graph structural learning. We first study the Rademacher complexity of GNNs, as one of independent-algorithm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：System Control Schemes based on Actor-Critic Learning Algorithms
Actor-Critic学习算法 系统 控制方案
2023/4/27
System optimization and control have become the key design philosophies in modern control system theories, where reinforcement learning (RL) algorithm has drawn considerable attention in recent litera...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Cost Learning in Autonomous Dynamical Systems: An Inverse Optimal Control Approach
自主动力系统 成本学习 逆优化 控制方法
2023/5/5
Optimal control, reinforcement learning and other optimization-based methods have been widelyapplied to control synthesis for real systems in physics, biology and robotics. However, in many complicate...
A minimax theorem with applications to machine learning, signal processing, and finance
convex optimization minimax theorem robust optimization
2015/8/10
This paper concerns a fractional function of the form x^Ta/sqrt{x^TBx}, where B is positive definite. We consider the game of choosing x from a convex set, to maximize the function, and choosing (a,B)...
Adaptive Iterative Learning Control for a Class of Nonlinear Systems with Unknown Control Directions
iterative learning control Unknown Control Directions Nonlinear Systems
2009/9/25
An adaptive iterative learning control(ILC) approach is proposed for a class of uncertain nonlinear systems without prior knowledge about system control directions. The Nussbaum-type gain and the posi...