From the 1 of 8 linked papers with an AI index.
8 papers
First-Order Optimization as Minimum-Time Control
Liraz Mudrik, Isaac Kaminer, Pramod P. Khargonekar
We formulate first-order optimization as a minimum-time control problem. The iterate is the state, the update, a combination of the gradients observed so far, is the control, and t…
Mixed Bernstein-Fourier Approximants for Optimal Trajectory Generation with Periodic Behavior
Liraz Mudrik, Sean Kragelund, Isaac Kaminer
The paper proposes a mixed Bernstein-Fourier approximation framework for generating optimal trajectories that exhibit periodic behavior, providing convergence proofs, error analysi…
Saddle Point Evasion via Curvature-Regularized Gradient Dynamics
Liraz Mudrik, Isaac Kaminer, Sean Kragelund +1
Nonconvex optimization underlies many modern machine learning and control tasks, where saddle points pose the dominant obstacle to reliable convergence in high-dimensional settings…
Prescribed-Time Distributed Generalized Nash Equilibrium Seeking
Liraz Mudrik, Isaac Kaminer, Sean Kragelund +1
Safety-critical multi-agent systems, from cooperative guidance to collision avoidance, must often reach a coordinated decision by a hard deadline rather than merely converge to one…
Optimization via a Control-Centric Framework
Liraz Mudrik, Isaac Kaminer, Sean Kragelund +1
Optimization plays a central role in intelligent systems and cyber-physical technologies, where speed and reliability of convergence directly impact performance. In control theory,…
Scaling and Trade-offs in Multi-agent Autonomous Systems
Abram H. Clark, Liraz Mudrik, Colton Kawamura +3
Designing autonomous drone swarms is hampered by a vast design space spanning platform, algorithmic, and numerical-strength choices. We perform large-scale agent-based simulations…