Search Results for author: Mukesh Ghimire

Found 4 papers, 2 papers with code

Pontryagin Neural Operator for Solving Parametric General-Sum Differential Games

no code implementations3 Jan 2024 Lei Zhang, Mukesh Ghimire, Zhe Xu, Wenlong Zhang, Yi Ren

To address these challenges, we propose in this paper a Pontryagin-mode neural operator that outperforms existing state-of-the-art (SOTA) on safety performance across games with parametric state constraints.

Value Approximation for Two-Player General-Sum Differential Games with State Constraints

1 code implementation28 Nov 2023 Lei Zhang, Mukesh Ghimire, Wenlong Zhang, Zhe Xu, Yi Ren

Solving Hamilton-Jacobi-Isaacs (HJI) PDEs numerically enables equilibrial feedback control in two-player differential games, yet faces the curse of dimensionality (CoD).

Physics-informed machine learning

Approximating Discontinuous Nash Equilibrial Values of Two-Player General-Sum Differential Games

no code implementations5 Jul 2022 Lei Zhang, Mukesh Ghimire, Wenlong Zhang, Zhe Xu, Yi Ren

This paper investigates two potential solutions to this problem: a hybrid method that leverages both supervised Nash equilibria and the HJI PDE, and a value-hardening method where a sequence of HJIs are solved with a gradually hardening reward.

Autonomous Driving Self-Supervised Learning

Lane Change Decision-Making through Deep Reinforcement Learning

2 code implementations24 Dec 2021 Mukesh Ghimire, Malobika Roy Choudhury, Guna Sekhar Sai Harsha Lagudu

Due to the complexity and volatility of the traffic environment, decision-making in autonomous driving is a significantly hard problem.

Autonomous Driving Decision Making +2

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