Xiong D, Zhao H. q-state Potts-glass neural network based on pseudoinverse rule.
Phys Rev E Stat Nonlin Soft Matter Phys 2010;
82:026114. [PMID:
20866883 DOI:
10.1103/physreve.82.026114]
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Abstract
We study the q -state Potts-glass neural network with the pseudoinverse (PI) rule. Its performance is investigated and compared with that of the counterpart network with the Hebbian rule instead. We find that there exists a critical point of q , i.e., q(cr)=14 , below which the storage capacity and the retrieval quality can be greatly improved by introducing the PI rule. We show that the dynamics of the neural networks constructed with the two learning rules respectively are quite different; but however, regardless of the learning rules, in the q-state Potts-glass neural networks with q≥3 there is a common novel dynamical phase in which the spurious memories are completely suppressed. This property has never been noticed in the symmetric feedback neural networks. Free from the spurious memories implies that the multistate Potts-glass neural networks would not be trapped in the metastable states, which is a favorable property for their applications.
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