52 citations · 98 across the 37 of their papers we have counts for
8 papers · 1 filter
Monotonicity and Contraction on Polyhedral Cones
Saber Jafarpour, Samuel Coogan
In this note, we study monotone dynamical systems with respect to polyhedral cones. Using the half-space representation and the vertex representation, we propose three equivalent c…
Robust Training and Verification of Implicit Neural Networks: A Non-Euclidean Contractive Approach
Saber Jafarpour, Alexander Davydov, Matthew Abate +2
This paper proposes a theoretical and computational framework for training and robustness verification of implicit neural networks based upon non-Euclidean contraction theory. The…
Network Critical Slowing Down: Data-Driven Detection of Critical Transitions in Nonlinear Networks
Mohammad Pirani, Saber Jafarpour
In a Nature article, Scheffer et al. presented a novel data-driven framework to predict critical transitions in complex systems. These transitions, which may stem from failures, de…
Non-Euclidean Monotone Operator Theory with Applications to Recurrent Neural Networks
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
We provide a novel transcription of monotone operator theory to the non-Euclidean finite-dimensional spaces and . We first establish properties of mappings…
Comparative Analysis of Interval Reachability for Robust Implicit and Feedforward Neural Networks
Alexander Davydov, Saber Jafarpour, Matthew Abate +2
We use interval reachability analysis to obtain robustness guarantees for implicit neural networks (INNs). INNs are a class of implicit learning models that use implicit equations…
Resilience of Input Metering in Dynamic Flow Networks
Saber Jafarpour, Samuel Coogan
In this paper, we study robustness of input metering policies in dynamic flow networks in the presence of transient disturbances and attacks. We consider a compartmental model for…
Multistability and anomalies in oscillator models of lossy power grids
Robin Delabays, Saber Jafarpour, Francesco Bullo
The analysis of dissipatively coupled oscillators is challenging and highly relevant in power grids. Standard mathematical methods are not applicable, due to the lack of network sy…
Minimax Flow over Acyclic Networks: Distributed Algorithms and Microgrid Application
Marco Coraggio, Saber Jafarpour, Francesco Bullo +1
Given a flow network with variable suppliers and fixed consumers, the minimax flow problem consists in minimizing the maximum flow between nodes, subject to flow conservation and c…