140 citations · 658 across the 113 of their papers we have counts for
122 papers
A Ballantine-Type Factorization of Diffeomorphisms
Mahmoud Abdelgalil, Tryphon T. Georgiou
We show that on a compact, connected, Riemannian manifold without boundary, every isotopic to the identity diffeomorphism can be written as a finite composition of optimal mass tra…
The Holonomy of Optimal Mass Transport: The Smooth Case
Mahmoud Abdelgalil, Tryphon T. Georgiou
We prove that, on a smooth manifold equipped with a constant rank horizontal distribution and a smooth inner product on , any horizontal vector field can be writte…
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…
On the Isospectral Nature of Minimum-Shear Covariance Control
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit Brockett's attention in the context of bilinear gradient flow of an ensemble, and explore an alternative formalism that aims to reduce shear by minimizing the conditioni…
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…