105 citations · 256 across the 14 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
cs.LG2020★ 1 cited
Neural Network Approximations of Compositional Functions With Applications to Dynamical Systems
Wei Kang, Qi Gong
As demonstrated in many areas of real-life applications, neural networks have the capability of dealing with high dimensional data. In the fields of optimal control and dynamical s…
math.OC2020★ 41 cited
QRnet: optimal regulator design with LQR-augmented neural networks
Tenavi Nakamura-Zimmerer, Qi Gong, Wei Kang
In this paper we propose a new computational method for designing optimal regulators for high-dimensional nonlinear systems. The proposed approach leverages physics-informed machin…
math.DS2020★ 16 cited
Algorithms of Data Development For Deep Learning and Feedback Design
Wei Kang, Qi Gong, Tenavi Nakamura-Zimmerer
Recent research reveals that deep learning is an effective way of solving high dimensional Hamilton-Jacobi-Bellman equations. The resulting feedback control law in the form of a ne…