Projects

VEGA: Decomposition Solver for Graphs of Convex Sets featured image

VEGA: Decomposition Solver for Graphs of Convex Sets

Parallel decomposition methods and benchmark infrastructure for large graph-of-convex-sets planning relaxations.

CCosmo: A Custom First-Order Conic Solver featured image

CCosmo: A Custom First-Order Conic Solver

A C++ and CUDA solver family for the structured convex programs that appear in robotics, control, and graph-of-convex-sets relaxations.

Certifying Trajectories in Seconds featured image

Certifying Trajectories in Seconds

Formally verifying the safety of complicated trajectories at scale.

Certified Polyhedral Descriptions of Configuration Space featured image

Certified Polyhedral Descriptions of Configuration Space

Provably correct descriptions of Configuration Space for collision-free motion planning

Efficient Linear Algebra featured image

Efficient Linear Algebra

Solving linear systems of equations is a fundamental subroutine in many algorithms. What structures are amenable to solving linear equations even faster.

Resilient Behavior Through Optimization featured image

Resilient Behavior Through Optimization

Resiliency of control systems and learning algorithms via counter-factual optimization

Scheduling with Constraints featured image

Scheduling with Constraints

Guaranteed performance of heuristic strategies for a known, hard problem.