1 code implementation • 26 Mar 2024 • Amartya Mukherjee, Thanin Quartz, Jun Liu
This paper presents a novel approach to generating stabilizing controllers for a large class of dynamical systems using diffusion models.
no code implementations • 15 Feb 2024 • Yiming Meng, Ruikun Zhou, Amartya Mukherjee, Maxwell Fitzsimmons, Christopher Song, Jun Liu
We provide a theoretical analysis of both algorithms in terms of convergence of neural approximations towards the true optimal solutions in a general setting.
no code implementations • 13 Feb 2024 • Amartya Mukherjee, Melissa M. Stadt, Lena Podina, Mohammad Kohandel, Jun Liu
Equivalently, we present an approach to restore the solution and the parameters in the Poisson equation by exploiting the eigenvalues and the eigenfunctions of the Laplacian operator.
no code implementations • 4 Oct 2023 • Amartya Mukherjee, Ruikun Zhou, Haocheng Chang, Jun Liu
This paper introduces harmonic control Lyapunov barrier functions (harmonic CLBF) that aid in constrained control problems such as reach-avoid problems.
1 code implementation • 18 May 2023 • Amartya Mukherjee, Jun Liu
The Hamilton-Jacobi-Bellman (HJB) equation is a PDE that evaluates the optimality of the value function and determines an optimal controller.
no code implementations • 1 Feb 2023 • Amartya Mukherjee, Jun Liu
The Proximal Policy Optimization (PPO)-Clipped algorithm is improvised with this implementation as it uses a value network to compute the objective function for its policy network.
1 code implementation • 25 May 2021 • Amartya Mukherjee
Growing advancements in reinforcement learning has led to advancements in control theory.