Analysis of Hopfield Model as Associative Memory

Silvestri, Matteo

arXiv.org Artificial Intelligence 

In this section, we won't delve into the depths of neuroscience, but rather aim to illuminate a fundamental concept: action potential. Understanding the behavior of neurons and the process that gives rise to a spike lays a crucial foundation. This rudimentary insight serves as a key building block, enriching our comprehension of the Neural Network models and its mathematical underpinnings. The action potential AP, a pivotal concept in neuronal function, is a neuronal phenomenon in which we see the neuron fires. Transmission of a neuronal signal is entirely dependent of the movement of ions, such as Sodium (Na+), Potassium (K+) and Chloride (CI), that are unequally distributed between the inside and the outside of the cell body. The presence and the movement of these ions creates a chemical gradient across the membrane which we define as electro-chemical gradient ECG .

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