doi: 10.1685/journal.caim.469

On the modeling of learning dynamics in large living systems

Vincenzo Coscia, Silvana De Lillo, Maria Luisa Prioriello

Abstract


This paper deals with the modeling of learning dynamics in a large system of interacting entities. The mathematical approach is based on the kinetic theory on active particles. Their microscopic state is modeled by a scalar variable called activity, which is assumed to be heterogeneously distributed among the particles. Nonlinear interactions lead to collective phenomena of learning. The structure allows the derivation of specific models and of numerical simulations related to real systems.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909