22 citations · 109 across the 52 of their papers we have counts for
55 papers
Structural stability of systems and cycle covers in random graphs
Mohamed Ali Belabbas
Structural system theory studies which network topologies can sustain a prescribed system property such as controllability or stability. When the topology is itself random, the rel…
Privacy Preserving Gossip Learning
Erkan Bayram, Mohamed-Ali Belabbas, Tamer Başar
We propose a decentralized privacy-preserving learning algorithm in which each agent holds a single private sample and a shared model. Samples are learned sequentially, and each up…
Rigidity for Lie algebras of locally finite derivations
Mohamed Ali Belabbas
Let be a finitely generated commutative algebra over a field of characteristic zero. We prove that every finitely generated Lie subalgebra of $\operatorname{Der}_{\…
Control Disturbance Rejection in Neural ODEs
Erkan Bayram, Mohamed-Ali Belabbas, Tamer Başar
In this paper, we propose an iterative training algorithm for Neural ODEs that provides models resilient to control (parameter) disturbances. The method builds on our earlier work…
Geometric Foundations of Tuning without Forgetting in Neural ODEs
Erkan Bayram, Mohamed-Ali Belabbas, Tamer Başar
In our earlier work, we introduced the principle of Tuning without Forgetting (TwF) for sequential training of neural ODEs, where training samples are added iteratively and paramet…
Interpretable Gradient Descent for Kalman Gain
M. A. Belabbas, A. Olshevsky
We derive a decomposition for the gradient of the innovation loss with respect to the filter gain in a linear time-invariant system, decomposing as a product of an observability Gr…