2017/10/13 by Michelangelo Naim, Naim, Michelangelo, Vezha Boboeva +5 · 1 citation
Computer Science · Neuroscience · #FOS: Biological sciences #Functional Brain Connectivity Studies #Neural Networks and Applications #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC)
paper · pdf · doi:10.48550/arxiv.1710.04897
openalex publication_date 2017/10/13 · openalex created_date 2022/08/07 · openalex updated_date 2026/07/28
An autoassociative network of Potts units, coupled via tensor connections,\nhas been proposed and analysed as an effective model of an extensive cortical\nnetwork with distinct short- and long-range synaptic connections, but it has\nnot been clarified in what sense it can be regarded as an effective model. We\ndraw here the correspondence between the two, which indicates the need to\nintroduce a local feedback term in the reduced model, i.e., in the Potts\nnetwork. An effective model allows the study of phase transitions. As an\nexample, we study the storage capacity of the Potts network with this\nadditional term, the local feedback w, which contributes to drive the\nactivity of the network towards one of the stored patterns. The storage\ncapacity calculation, performed using replica tools, is limited to fully\nconnected networks, for which a Hamiltonian can be defined. To extend the\nresults to the case of intermediate partial connectivity, we also derive the\nself-consistent signal-to-noise analysis for the Potts network; and finally we\ndiscuss implications for semantic memory in humans.\n