no code implementations • 12 Jun 2023 • Amirhossein Nazerian, David Phillips, Hernan A. Makse, Francesco Sorrentino
A new concept of structural reactivity is introduced which measures how much a given network is far from becoming minimally reactive by link perturbations.
no code implementations • 16 Apr 2023 • 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.
no code implementations • 28 Feb 2023 • Chad Nathe, Chandra Pappu, Nicholas A. Mecholsky, Joseph D. Hart, Thomas Carroll, Francesco Sorrentino
For all the cases we examined, we found that a good remedy to noise is to low-pass filter the input and the training/testing signals; this typically preserves the performance of the reservoir, while reducing the undesired effects of noise.
no code implementations • 29 Nov 2022 • Joseph D. Hart, Francesco Sorrentino, Thomas L. Carroll
Reservoir computing, a recurrent neural network paradigm in which only the output layer is trained, has demonstrated remarkable performance on tasks such as prediction and control of nonlinear systems.
no code implementations • 12 Oct 2022 • Shirin Panahi, Matteo Lodi, Marco Storace, Francesco Sorrentino
Interestingly, we obtain two different types of blocks, driven and undriven.
no code implementations • 31 Jan 2022 • Shirin Panahi, Nelson Amaya, Isaac Klickstein, Galen Novello, Francesco Sorrentino
We respond briefly to a comment [1, arXiv:2110. 15493] recently posted online on our paper [2, arXiv:2108. 07893].
no code implementations • 15 Nov 2021 • Ian Leifer, David Phillips, Francesco Sorrentino, Hernán A. Makse
For that reason, a method to find pseudosymmetries and repair networks based on those symmetries is important when analyzing real world networks.
no code implementations • 11 Nov 2021 • Amirhossein Nazerian, Shirin Panahi, Ian Leifer, David Phillips, Hernan Makse, Francesco Sorrentino
For each pair of clusters, we distinguish between three different cases: Matryoshka Cluster Synchronization (when the range of the stability of the synchronous solution for one cluster is included in that of the other cluster), Partially Disjoint Cluster Synchronization (when the ranges of stability of the synchronous solutions partially overlap), and Complete Disjoint Cluster Synchronization (when the ranges of stability of the synchronous solutions do not overlap.)
1 code implementation • 28 Sep 2021 • Shirin Panahi, Isaac Klickstein, Francesco Sorrentino
Our approach has several advantages as it allows us to: (1) decouple the stability problem into subproblems of minimal dimensionality while preserving physically meaningful information; (2) study stability of both orbital and equitable partitions of the network nodes and (3) obtain a parametrization of the problem in a small number of parameters.
no code implementations • 29 Aug 2021 • Enrico Del Frate, Afroza Shirin, Francesco Sorrentino
We investigate the effects of application of random time-shifts to the readouts of a reservoir computer in terms of both accuracy (training error) and performance (testing error.)
no code implementations • 22 Jul 2021 • Kshitij Bhatta, Majeed Hayat, Francesco Sorrentino
The swing equation is a classic model for the dynamics of powergrid networks.
no code implementations • 13 Jan 2021 • Chad Nathe, Enrico Del Frate, Thomas Carroll, Louis Pecora, Afroza Shirin, Francesco Sorrentino
We then take a parametric approach in which the eigenvalues are parameters that can be appropriately designed and optimized.
no code implementations • 4 Sep 2020 • Afroza Shirin, Yen Ting Lin, Francesco Sorrentino
We then introduce a time-varying control input that represents the level of social distancing imposed on the population of a given area and solve an optimal control problem with the goal of minimizing the impact of social distancing on the economy in the presence of relevant constraints, such as a desired level of suppression for the epidemics at a terminal time.
1 code implementation • 15 Aug 2018 • Isaac Klickstein, Francesco Sorrentino
In the field of complex networks and graph theory, new results are typically tested on graphs generated by a variety of algorithms such as the Erd\H{o}s-R\'{e}nyi model or the Barab\'{a}si-Albert model.
Combinatorics