منابع مشابه
Quantum Hopfield Model
The Hopfield model in a transverse field is investigated in order to clarify how quantum fluctuations affect the macroscopic behavior of neural networks. Using the Trotter decomposition and the replica method, we find that the α (the ratio of the number of stored patterns to the system size)-∆ (the strength of the transverse field) phase diagram of this model in the ground state resembles the α...
متن کاملThe Hopfield Model
In this note, I review some basic properties of the Hopfield model. I closely follow Chapter 2 of Herz, Krogh & Palmer (1991) which is an excellent introductory textbook on the theory of neural networks. I motivate the mean field analysis of the stochastic Hopfield model slightly differently than Herz, Krogh & Palmer (1991) and my derivations are a little longer, filling in some of the gaps in ...
متن کاملA spherical Hopfield model
We introduce a spherical Hopfield-type neural network involving neurons and patterns that are continuous variables. We study both the thermodynam-ics and dynamics of this model. In order to have a retrieval phase a quartic term is added to the Hamiltonian. The thermodynamics of the model is exactly solvable and the results are replica symmetric. A Langevin dynamics leads to a closed set of equa...
متن کاملThe Hopfield model
In 1973, the phenomenon of long-term potentiation (LTP) was discovered. The study of LTP is now a small industry within the field of neuroscience. Among the various forms of LTP, those that depend on the NMDA subtype of glutamate receptor are regarded as “Hebbian.” These forms depend on temporal contiguity of presynaptic and postsy naptic activity. The requirement of temporal contiguity is exp...
متن کاملCapacity of the Hopfield model
For a given 0 < δ < 2 if [Nδ] neurons deviating from the memorized patterns are allowed, we constructively show that if and only if α(δ) := p(N)/N = (1 − 2δ)2/(1 − δ)2 all stored patterns are fixed points of the Hopfield model. If [NδN ] neurons are allowed with δN → 0 then αN = (1−2δN )2/(8−1(1−δN ))2 → 0 where 8 is the distribution function of the normal distribution. The result obtained by A...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics
سال: 2020
ISSN: 2624-8174
DOI: 10.3390/physics2020012