CrossRef Open Access 2023

Interacting dreaming neural networks

Pietro Zanin Nestor Caticha

Abstrak

Abstract We study the interaction of agents, where each one consists of an associative memory neural network trained with the same memory patterns and possibly different reinforcement-unlearning dreaming periods. Using replica methods, we obtain the rich equilibrium phase diagram of the coupled agents. It shows phases such as the student–professor phase, where only one network benefits from the interaction while the other is unaffected; a mutualism phase, where both benefit; an indifferent phase and an insufficient phase, where neither are benefited nor impaired; a phase of amensalism where one is unchanged and the other is damaged. In addition to the paramagnetic and spin glass phases, there is also one we call the reinforced delusion phase, where agents concur without having finite overlaps with memory patterns. For zero coupling constant, the model becomes the reinforcement and removal dreaming model, which without dreaming is the Hopfield model. For finite coupling and a single memory pattern, it becomes a Mattis version of the Ashkin–Teller model.

Penulis (2)

P

Pietro Zanin

N

Nestor Caticha

Format Sitasi

Zanin, P., Caticha, N. (2023). Interacting dreaming neural networks. https://doi.org/10.1088/1742-5468/acc72b

Akses Cepat

Lihat di Sumber doi.org/10.1088/1742-5468/acc72b
Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Sumber Database
CrossRef
DOI
10.1088/1742-5468/acc72b
Akses
Open Access ✓