76 citations · 299 across the 24 of their papers we have counts for
24 papers
Transmission Neural Networks: From Virus Spread Models to Neural Networks
Shuang Gao, Peter E. Caines
This work connects models for virus spread on networks with their equivalent neural network representations. Based on this connection, we propose a new neural network architecture,…
Stationary Cost Nodes in Infinite Horizon LQG-GMFGs
Rinel Foguen Tchuendom, Shuang Gao, Peter E. Caines
An analysis of infinite horizon linear quadratic Gaussian (LQG) Mean Field Games is given within the general framework of Graphon Mean Field Games (GMFG) on dense infinite graphs (…
Strong Consistency and Rate of Convergence of Switched Least Squares System Identification for Autonomous Markov Jump Linear Systems
Borna Sayedana, Mohammad Afshari, Peter E. Caines +1
In this paper, we investigate the problem of system identification for autonomous Markov jump linear systems (MJS) with complete state observations. We propose switched least squar…
Lattice Conditional Independence Models and Hibi Ideals
Peter Caines, Fatemeh Mohammadi, Eduardo Sáenz de Cabezón +1
Lattice Conditional Independence models are a class of models developed first for the Gaussian case in which a distributive lattice classifies all the conditional independence stat…
On the Graphon Mean Field Game Equations: Individual Agent Affine Dynamics and Mean Field Dependent Performance Functions
Peter E. Caines, Daniel W. C. HO, Minyi Huang +2
This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equation…
Graphon Mean Field Games and the GMFG Equations
Peter E. Caines, Minyi Huang
The emergence of the graphon theory of large networks and their infinite limits has enabled the formulation of a theory of the centralized control of dynamical systems distributed…