Consensus formation in first-order graphon models with time-varying topologies
B Bonnet, NP Duteil, M Sigalotti - Mathematical Models and Methods …, 2022 - World Scientific
In this paper, we investigate the asymptotic formation of consensus for several classes of
time-dependent cooperative graphon dynamics. After motivating the use of this type of …
time-dependent cooperative graphon dynamics. After motivating the use of this type of …
A large-scale stochastic gradient descent algorithm over a graphon
Y Chen, T Li - 2023 62nd IEEE Conference on Decision and …, 2023 - ieeexplore.ieee.org
We study the large-scale stochastic gradient descent algorithm over a graphon with a
continuum of nodes, which is regarded as the limit of the distributed networked optimization …
continuum of nodes, which is regarded as the limit of the distributed networked optimization …
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere
Z Qiao, Y Liu, X Wang - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this article, we establish an infinite-dimensional model on the sphere for opinion dynamics
based on the graph limit procedure and study consensus formation of this graphon model …
based on the graph limit procedure and study consensus formation of this graphon model …
Large population limits of Markov processes on random networks
We consider time-continuous Markovian discrete-state dynamics on random networks of
interacting agents and study the large population limit. The dynamics are projected onto low …
interacting agents and study the large population limit. The dynamics are projected onto low …