5 papers
Stability of Primal-Dual Gradient Flow Dynamics for Multi-Block Convex Optimization Problems
Ibrahim K. Ozaslan, Panagiotis Patrinos, Mihailo R. JovanoviÄ
We examine stability properties of primal-dual gradient flow dynamics for composite convex optimization problems with multiple, possibly nonsmooth, terms in the objective function…
Automated algorithm design via Nevanlinna-Pick interpolation
Ibrahim K. Ozaslan, Tryphon T. Georgiou, Mihailo R. Jovanovic
The synthesis of optimization algorithms typically follows a design-first-analyze-later approach, which often obscures fundamental performance limitations and hinders the systemati…
Automated algorithm design for convex optimization problems with linear equality constraints
Ibrahim K. Ozaslan, Wuwei Wu, Jie Chen +2
Synthesis of optimization algorithms typically follows a {\em design-then-analyze\/} approach, which can obscure fundamental performance limits and hinder the systematic developmen…
Accelerated forward-backward and Douglas-Rachford splitting dynamics
Ibrahim K. Ozaslan, Mihailo R. JovanoviÄ
We examine convergence properties of continuous-time variants of accelerated Forward-Backward (FB) and Douglas-Rachford (DR) splitting algorithms for nonsmooth composite optimizati…
From exponential to finite/fixed-time stability: Applications to optimization
Ibrahim K. Ozaslan, Mihailo R. JovanoviÄ
The development of finite/fixed-time stable optimization algorithms typically involves study of specific problem instances. The lack of a unified framework hinders understanding of…