Max Robotics — Global Service Robot Directory + US Certification

About

Melvin Leok is a mathematician and engineer whose research bridges geometric mechanics, numerical methods, and modern control theory. His foundational work on **variational integrators and Lie group methods** has advanced the global, coordinate-free formulation of Lagrangian and Hamiltonian dynamics on embedded manifolds — a framework particularly valuable in robotics and multi-body systems, where intrinsic geometric structure must be preserved. Leok has pioneered the integration of these principled physics-based representations into deep learning architectures, as demonstrated by his Lie Group Forced Variational Integrator Networks, which improve both efficiency and generalization in robot dynamics learning. More recently, Leok has expanded into safe control synthesis, contributing novel probabilistic and robust formulations of Control Lyapunov Functions (CLFs) and Control Barrier Functions (CBFs) that handle uncertainty in both system dynamics and safety constraints — work that has already garnered 26 citations since 2022. His research on safe navigation for polygonal robots in dynamic environments further exemplifies his commitment to bridging mathematical rigor with practical robotics challenges. Across these domains, Leok's contributions reflect a distinctive ability to unify geometric foundations with cutting-edge computational and safety-critical control methodologies.