Title
Memory-Based Reduced Modelling And Data-Based Estimation Of Opinion Spreading
Abstract
We investigate opinion dynamics based on an agent-based model and are interested in predicting the evolution of the percentages of the entire agent population that share an opinion. Since these opinion percentages can be seen as an aggregated observation of the full system state, the individual opinions of each agent, we view this in the framework of the Mori-Zwanzig projection formalism. More specifically, we show how to estimate a nonlinear autoregressive model (NAR) with memory from data given by a time series of opinion percentages, and discuss its prediction capacities for various specific topologies of the agent interaction network. We demonstrate that the inclusion of memory terms significantly improves the prediction quality on examples with different network topologies.
Year
DOI
Venue
2021
10.1007/s00332-020-09673-2
JOURNAL OF NONLINEAR SCIENCE
Keywords
DocType
Volume
Memory-based model, Sparse model identification, Mori-Zwanzig formalism, Nonlinear autoregressive model, Opinion dynamics, Agent-based model
Journal
31
Issue
ISSN
Citations 
1
0938-8974
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Wulkow Niklas100.34
Koltai Péter200.34
Christof Schütte316735.19