140 citations · 658 across the 113 of their papers we have counts for
50 papers · 1 filter
Isospectral Steering
Ralph Sabbagh, Tryphon T. Georgiou
We study the controllability of the differential Lyapunov equation under isospectral rotation of a linear gradient field. Specifically, control is effected by a symmetric time-vary…
Minimizing Control Attention:The Linear Gauss-Markov paradigm
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit the concept of `attention' as a technical term to quantify the effort in calibrating control action based on available data. While Wiener, in his work on Cybernetics, an…
A lasso-alternative to Dijkstra's algorithm for identifying short paths in networks
Anqi Dong, Amirhossein Taghvaei, Tryphon T. Georgiou
We revisit the problem of finding the shortest path between two selected vertices of a graph and formulate this as an -regularized regression -- Least Absolute Shrinkage an…
Gradient Flows as Optimal Controlled Evolutions: From Rn to Wasserstein product spaces
Yongxin Chen, Tryphon Georgiou, Michele Pavon
We show that the continuous-time gradient descent in Rn can be viewed as an optimal controlled evolution for a suitable action functional; a similar result holds for stochastic gra…
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…
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…