2 citations · 2 across the 6 of their papers we have counts for
8 papers
Graphexon Mean Field Games on Large Network Limits
Peter E. Caines, Minyi Huang
This paper analyzes graphexon mean field games (GXMFG) on large network limits. By considering edge distributions of a sequence of finite graphs, we define the empirical graphexon…
Transmission Neural Networks: Inhibitory and Excitatory Connections
Shuang Gao, Peter E. Caines
This paper extends the Transmission Neural Network model proposed by Gao and Caines in [1]-[3] to incorporate inhibitory connections and neurotransmitter populations. The extended…
Transmission Neural Networks: Approximate Receding Horizon Control for Virus Spread on Networks
Shuang Gao, Peter E. Caines
Transmission Neural Networks (TransNNs) proposed by Gao and Caines (2022) serve as both virus spread models over networks and neural network models with tuneable activation functio…
Transmission Neural Networks: Approximation and Optimal Control
Shuang Gao, Peter E. Caines
Transmission Neural Networks (TransNNs) introduced by Gao and Caines (2022) connect virus spread models over networks and neural networks with tuneable activation functions. This p…
Concentration of Cumulative Reward in Markov Decision Processes
Borna Sayedana, Peter E. Caines, Aditya Mahajan
In this paper, we investigate the concentration properties of cumulative reward in Markov Decision Processes (MDPs), focusing on both asymptotic and non-asymptotic settings. We int…
Comparative Analysis of Learning-Based Methods for Transient Stability Assessment
Xingjian Wu, Xiaoting Wang, Xiaozhe Wang +2
Transient stability and critical clearing time (CCT) are important concepts in power system protection and control. This paper explores and compares various learning-based methods…
Quadratic Optimal Control of Graphon Q-noise Linear Systems
Alex Dunyak, Peter E. Caines
The modelling of linear quadratic Gaussian optimal control problems on large complex networks is intractable computationally. Graphon theory provides an approach to overcome these…
LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces
Shuang Gao, Peter E. Caines, Minyi Huang
This paper studies approximate solutions to large-scale linear quadratic stochastic games with homogeneous nodal dynamics parameters and heterogeneous network couplings within the…