4 papers
Unpredictable dynamics in congestion games: memory loss can prevent chaos
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We study the dynamics of simple congestion games with two resources where a continuum of agents behaves according to a version of Experience-Weighted Attraction (EWA) algorithm. Th…
The birth of geometry in exponential random graphs
Pawat Akara-pipattana, Thiparat Chotibut, Oleg Evnin
Inspired by the prospect of having discretized spaces emerge from random graphs, we construct a collection of simple and explicit exponential random graph models that enjoy, in an…
Family of chaotic maps from game theory
Thiparat Chotibut, Fryderyk Falniowski, Michal Misiurewicz +1
From a two-agent, two-strategy congestion game where both agents apply the multiplicative weights update algorithm, we obtain a two-parameter family of maps of the unit square to i…
Mean Field Theory of Activation Functions in Deep Neural Networks
Mirco Milletarí, Thiparat Chotibut, Paolo E. Trevisanutto
We present a Statistical Mechanics (SM) model of deep neural networks, connecting the energy-based and the feed forward networks (FFN) approach. We infer that FFN can be understood…