22 citations · 58 across the 8 of their papers we have counts for
11 papers
Dynamics to decision: A mathematical theory of Lyapunov spectra and decision boundaries in deep classifiers
Shirin Panahi, Amirhossein Nazerian, Ali Pezeshki
A deep classifier is defined not only by the decision it produces, but also by the sequence of transformations through which that decision is formed. Treating this evolution as a d…
Manifold-Stable Flow Matching
Amirhossein Nazerian, Ali Pezeshki, Jianguo Zhao
Flow matching (FM) learns generative dynamics through velocity regression. Geometric FM variants commonly assume a prior supported on the data manifold, requiring geometric knowled…
Open networks in discrete time: Passing vs blocking behavior
Amirhossein Nazerian, MAlbor Asllani, Melvyn Tyloo +1
This paper presents a unified framework for analyzing the input-output behavior of discrete time complex networks viewed as open systems. Importantly, we focus on systems that are…
The Frequency Response of Networks as Open Systems
Amirhossein Nazerian, Malbor Asllani, Melvyn Tyloo +2
Many biological, technological, and social systems can be effectively described as networks of interacting subsystems. Typically, these networks are not isolated objects, but inter…
Extreme vulnerability to intruder attacks destabilizes network dynamics
Amirhossein Nazerian, Sahand Tangerami, Malbor Asllani +3
Consensus, synchronization, formation control, and power grid balance are examples of desirable dynamical states that arise in networks. Here we investigate how such states can be…
Bridging the Gap between Reactivity, Contraction, and Finite-Time Lyapunov Exponents
Amirhossein Nazerian, Francesco Sorrentino, Zahra Aminzare
Reactivity, contractivity, and Lyapunov exponents are powerful tools for studying the stability properties of dynamical systems and have been extensively investigated in the litera…
The Efficiency of Synchronization Dynamics and the Role of Network Syncreactivity
Amirhossein Nazerian, Joseph D Hart, Matteo Lodi +1
Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronou…
Single-Integrator Consensus Dynamics over Minimally Reactive Networks
Amirhossein Nazerian, David Phillips, Hernan A. Makse +1
The problem of achieving consensus in a network of connected systems arises in many science and engineering applications. In contrast to previous works, we focus on the system reac…
Synchronizing Chaos using Reservoir Computing
Amirhossein Nazerian, Chad Nathe, Joseph D. Hart +1
We attempt to achieve isochronal synchronization between a drive system unidirectionally coupled to a response system, under the assumption that limited knowledge on the states of…
Synchronization in networked systems with large parameter heterogeneity
Amirhossein Nazerian, Shirin Panahi, Francesco Sorrentino
Systems that synchronize in nature are intrinsically different from one another, with possibly large differences from system to system. While a vast part of the literature has inve…
Matryoshka and Disjoint Cluster Synchronization of Networks
Amirhossein Nazerian, Shirin Panahi, Ian Leifer +3
The main motivation for this paper is to present a definition of network synchronizability for the case of cluster synchronization (CS), in an analogous fashion to Barahona and Pec…