Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized Hopfield model to store and retrieve mismatched memory
  patterns   We introduce a class of Hopfield models where the memories are represented by
a mixture of Gaussian and bimodal variables and the neurons are Ising spins. We
study the properties of this family of models as the relative weight of the two
kinds of variables in the patterns varies. Spinodal and first order recovery
transition lines in the phase diagram are squeezed towards zero storage
capacity as the memory patterns contain a larger fraction of continuous
variables. As the memory is purely Gaussian retrieval is lost for any non zero
storage capacity. It is shown that this comes about because of the spherical
symmetry of the free energy in the Gaussian case. Introducing two different
memory pattern overlaps between spin configurations and each contribution to
the pattern from the two kinds of variables one can observe that the Gaussian
parts of the patterns act as a noise, making retrieval more difficult. The
basins of attraction of the states, the accuracy of the retrieval and the
storage capacity are studied by means of Monte Carlo numerical simulations.

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The categories of this paper are: math
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ