6 papers · 1 filter
Constrained Flow Matching via Lagrangian Dual Flows
Vince Kurtz, Alexander Davydov
Flow matching is a powerful tool for generative modeling, but emerging applications in robotics, planning, and physics require inference-time constraints on generated outputs. Such…
Regularized Model Predictive Control via Contractivity and Implicit Lur'e Analysis
Ryotaro Shima, Anand Gokhale, Alexander Davydov +1
This paper develops a contraction-based stability analysis for regularized model predictive control (MPC), whose feedback law is defined implicitly by a finite-horizon optimal cont…
Non-Euclidean Monotone Operator Theory and Applications
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
While monotone operator theory is often studied on Hilbert spaces, many interesting problems in machine learning and optimization arise naturally in finite-dimensional vector space…
Contractivity Analysis and Control Design for Lur'e Systems: Lipschitz, Incrementally Sector Bounded, and Monotone Nonlinearities
Ryotaro Shima, Alexander Davydov, Francesco Bullo
In this paper, we study the contractivity of Lur'e dynamical systems whose nonlinearity is either Lipschitz, incrementally sector bounded, or monotone. We consider both the discret…
Time-Varying Convex Optimization: A Contraction and Equilibrium Tracking Approach
Alexander Davydov, Veronica Centorrino, Anand Gokhale +2
In this article, we provide a novel and broadly-applicable contraction-theoretic approach to continuous-time time-varying convex optimization. For any parameter-dependent contracti…
Proximal Gradient Dynamics: Monotonicity, Exponential Convergence, and Applications
Anand Gokhale, Alexander Davydov, Francesco Bullo
In this letter we study the proximal gradient dynamics. This recently-proposed continuous-time dynamics solves optimization problems whose cost functions are separable into a nonsm…