Increase of storage capacity of neural networks by preprocessing using convergence and divergence.

L Orzó
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Abstract

The greatest practical limitation of the associative memory models, especially the Hopfield model is the low storage capacity. It has been shown by Gardner, that the Hopfield type models storage limit is 2*N, where N is the number of the processing elements or neurons. For biased patterns, on the other hand, it is much greater. But in general the input patterns are not biased. To approach to this problem and to increase the storage capacity of the model, the input patterns have to be diluted by some conversion method particularly which uses convergence and divergence in neuroanatomical sense. Based on this model these parameters can be estimated. As a consequence of this bias and the divergence, the storage capacity is increased. This preprocessing method doesn't lead to the loss of information and keeps the error correcting ability of the model.

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利用收敛和发散的预处理方法增加神经网络的存储容量。
联想记忆模型,特别是Hopfield模型最大的实际限制是存储容量小。Gardner已经证明,Hopfield型模型的存储极限为2*N,其中N为处理元素或神经元的数量。另一方面,对于有偏见的模式,它要大得多。但一般来说,输入模式是没有偏差的。为了解决这一问题并增加模型的存储容量,必须采用某种转换方法对输入模式进行稀释,特别是利用神经解剖学意义上的收敛和发散。基于该模型,可以对这些参数进行估计。由于这种偏置和散度,存储容量增加。这种预处理方法不会导致信息的丢失,并且保持了模型的纠错能力。
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