no code implementations • 23 Jul 2022 • Sebin Gracy, Philip E. Paré, Ji Liu, Henrik Sandberg, Carolyn L. Beck, Karl Henrik Johansson, Tamer Başar
We establish a sufficient condition and multiple necessary conditions for local exponential convergence to the boundary equilibrium (i. e., one virus persists, the other one dies out) of each virus.
no code implementations • 21 Mar 2021 • Xiaoqi Bi, Carolyn L. Beck
We provide an investigation of equilibria and stability properties for these models, and present simulation results illustrating the effects of asymptomatic-infected individuals on the spread of the disease.
no code implementations • 17 Oct 2020 • Xiaotian Xie, Dimitrios Katselis, Carolyn L. Beck, R. Srikant
Incoming edges to a node in the graph indicate that the state of the node at a particular time instant is influenced by the states of the corresponding parental nodes in the previous time instant.
no code implementations • 19 Dec 2016 • Dimitrios Katselis, Carolyn L. Beck, R. Srikant
For a network with $p$ nodes, where each node has in-degree at most $d$ and corresponds to a scalar Bernoulli process generated by a BAR, we provide a greedy algorithm that can efficiently learn the structure of the underlying directed graph with a sample complexity proportional to the mixing time of the BAR process.
no code implementations • 26 Jul 2015 • Dimitrios Katselis, Cristian R. Rojas, Carolyn L. Beck
The separation of the system estimator from the experiment design is done within this new framework by choosing and fixing the estimation method to either a maximum likelihood (ML) approach or a Bayesian estimator such as the minimum mean square error (MMSE).