A survey on large-population systems and scalable multi-agent reinforcement learning

K Cui, A Tahir, G Ekinci, A Elshamanhory… - arXiv preprint arXiv …, 2022 - arxiv.org
The analysis and control of large-population systems is of great interest to diverse areas of
research and engineering, ranging from epidemiology over robotic swarms to economics …

Spline tie-decay temporal networks

C Thongprayoon, N Masuda - arXiv preprint arXiv:2408.11913, 2024 - arxiv.org
Increasing amounts of data are available on temporal, or time-varying, networks. There have
been various representations of temporal network data each of which has different …

Non-Markovian models of opinion dynamics on temporal networks

W Chu, MA Porter - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
Traditional models of opinion dynamics, in which the nodes of a network change their
opinions based on their interactions with neighboring nodes, consider how opinions evolve …

Motif-based mean-field approximation of interacting particles on clustered networks

K Cui, WR KhudaBukhsh, H Koeppl - Physical Review E, 2022 - APS
Interacting particles on graphs are routinely used to study magnetic behavior in physics,
disease spread in epidemiology, and opinion dynamics in social sciences. The literature on …

On evolution PDEs on co-evolving graphs

A Esposito, L Mikolás - arXiv preprint arXiv:2310.10350, 2023 - arxiv.org
We provide a well-posedness theory for a class of nonlocal continuity equations on co-
evolving graphs. We describe the connection among vertices through an edge weight …

Kinetic equations for processes on co-evolving networks

M Burger - arXiv preprint arXiv:2104.13815, 2021 - arxiv.org
The aim of this paper is to derive macroscopic equations for processes on large co-evolving
networks, examples being opinion polarization with the emergence of filter bubbles or other …

Opinion dynamics based on social learning theory

D Jiang, Q Dai, H Li, J Yang - The European Physical Journal B, 2024 - Springer
In opinion dynamics, how individuals update their opinions has a profound impact on the
final opinion distribution. Though extensive efforts have been made to explore opinion …

Online landmark replacement for out-of-sample dimensionality reduction methods

C Thongprayoon, N Masuda - arXiv preprint arXiv:2311.12646, 2023 - arxiv.org
A strategy to assist visualization and analysis of large and complex data sets is
dimensionality reduction, with which one maps each data point into a low-dimensional …

A Weighted-Median Model of Opinion Dynamics on Networks

L Mohr, PG Hjorth, MA Porter - arXiv preprint arXiv:2406.17552, 2024 - arxiv.org
Social interactions influence people's opinions. In some situations, these interactions result
in a consensus opinion; in others, they result in opinion fragmentation and the formation of …

Bounded-confidence opinion models with random-time interactions

W Chu, MA Porter - arXiv preprint arXiv:2409.15148, 2024 - arxiv.org
In models of opinion dynamics, the opinions of individual agents evolve with time. One type
of opinion model is a bounded-confidence model (BCM), in which opinions take continuous …