Perform basic research in differentiable programming and physics informed machine learning (Graph Neural Networks and Neural Operators) for solving inverse and optimization problems. Develop AI-accelerated numerical methods for identifying material properties and forces from multi-view cameras on the rover to manipulate lunar environments.Develop gradient-based policy optimization for manipulating soft matter in low-gravity environments and perform tests on robotic arm in lunar soil stimulant environment.Implement and test new algorithms in GPU computing environments.Write scientific journal articles describing new findings. Disseminate the research through presentations at scientific conferences, university seminars, and in internal meetings.