Transmission Neural Networks: From Virus Spread Models to Neural Networks

no code implementations • 7 Aug 2022 • Shuang Gao, Peter E. Caines

This work connects models for virus spread on networks with their equivalent neural network representations.

Stationary Cost Nodes in Infinite Horizon LQG-GMFGs

no code implementations • 22 Jul 2022 • Rinel Foguen Tchuendom, Shuang Gao, Peter E. Caines

For a class of LQG-GMFGs, analytical expressions are derived for the infinite horizon Nash values at the nodes of the infinite graph.

Strong Consistency and Rate of Convergence of Switched Least Squares System Identification for Autonomous Markov Jump Linear Systems

no code implementations • 20 Dec 2021 • Borna Sayedana, Mohammad Afshari, Peter E. Caines, Aditya Mahajan

These results show that switched least squares method for MJS has the same rate of convergence as least squares method for autonomous linear systems.

Subspace Decomposition for Graphon LQR: Applications to VLSNs of Harmonic Oscillators

no code implementations • 1 Apr 2020 • Shuang Gao, Peter E. Caines

This paper provides a solution method based on invariant subspace decompositions for a class of graphon linear quadratic regulation (LQR) problems where the local dynamics share homogeneous parameters but the graphon couplings may be heterogeneous among the coupled agents.

LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces

no code implementations • 1 Apr 2020 • Shuang Gao, Peter E. Caines, Minyi Huang

A graphon time-varying dynamical system model is first formulated to study the finite and then limit problems of linear quadratic Gaussian graphon mean field games (LQG-GMFG).