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Meneghetti, Laura (2018) Towards a continuous dynamic model of the Hopfield theory on neuronal interaction and memory storage. [Magistrali biennali]

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Abstract

The purpose of this work is to study the Hopfield model for neuronal interaction and memory storage, in particular the convergence to the stored patterns. Since the hypothesis of symmetric synapses is not true for the brain, we will study how we can extend it to the case of asymmetric synapses using a probabilistic approach. We then focus on the description of another feature of the memory process and brain: oscillations. Using the Kuramoto model we will be able to describe them completely, gaining the presence of synchronization between neurons. Our aim is therefore to understand how and why neurons can be seen as oscillators and to establish a strong link between this model and the Hopfield approach.

Tipologia del documento:Magistrali biennali
Parole chiave: Hopfield model, memory storage
Settori scientifico-disciplinari del MIUR:Area 01 - Scienze matematiche e informatiche > MAT/07 Fisica matematica
Codice ID:61263
Relatore:Cardin, Franco
Data della tesi:12 Ottobre 2018
Biblioteca:Polo di Scienze > Biblioteca di Matematica
Tipo di fruizione per il documento:on-line per i full-text

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