4 papers
Functional Uncertainty Classes, Nonparametric Adaptive Contro Functional Uncertainty Classes for Nonparametric Adaptive Control: the Curse of Dimensionality
Haoran Wang, Shengyuan Niu, Henry Moon +4
This paper derives a new class of vector-valued reproducing kernel Hilbert spaces (vRKHS) defined in terms of operator-valued kernels for the representation of functional uncertain…
Tailoring Reproducing Kernels for Optimal Control via Policy Iteration
Shengyuan Niu, Ali Bouland, Haoran Wang +5
This paper presents a novel approach to formulating the actor-critic method for optimal control by casting policy iteration in reproducing kernel Hilbert spaces (RKHSs -- also know…
Vector-Valued Native Space Embedding for Adaptive State Observation
Shengyuan Niu, Haoran Wang, Heejip Moon +3
This paper combines vector-valued reproducing kernel Hilbert space (vRKHS) embedding with robust adaptive observation, yielding an algorithm that is both non-parametric and robust.…
Convergence Rates of Online Critic Value Function Approximation in Native Spaces
Shengyuan Niu, Ali Bouland, Haoran Wang +5
In this paper, the evolution equation that defines the online critic for the approximation of the optimal value function is cast in a general class of reproducing kernel Hilbert sp…