Our paper presents a review and critical analysis on a mathematical theory of learning in populations composed of many interacting individuals. Furthermore, it attempts to provide a foundational mathematical framework which may incorporate the main features of the learning process in view of applications to modeling complex systems, including crowds, swarms, and social systems. The proposed approach is based on the kinetic theory of active particles which has been specifically developed to deal with living systems. The novelty of the contribution is the focus on collective, rather than individual, learning dynamics. This topic presents a certain analogy with evolutionary game theory, where populations take the place of individual players.
Learning dynamics towards modeling living systems. Reply to comments on "Collective learning modeling based on the kinetic theory of active particles"
BURINI, DILETTA;DE LILLO, Silvana;
2016
Abstract
Our paper presents a review and critical analysis on a mathematical theory of learning in populations composed of many interacting individuals. Furthermore, it attempts to provide a foundational mathematical framework which may incorporate the main features of the learning process in view of applications to modeling complex systems, including crowds, swarms, and social systems. The proposed approach is based on the kinetic theory of active particles which has been specifically developed to deal with living systems. The novelty of the contribution is the focus on collective, rather than individual, learning dynamics. This topic presents a certain analogy with evolutionary game theory, where populations take the place of individual players.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
