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Estimates of storage capacity in the q-state Potts-glass neural network

机译:q状态Potts-玻璃神经网络中的存储容量估计

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摘要

We study the absolute storage capacity of the q-state Potts-glass neural network which determines how many memory patterns can be really retrieved. By using theoretical analysis combined with a characteristic of the distribution of local field, a general formula for estimating the storage capacity is proposed, and dynamical simulations for q = 2 and q = 3 are presented for comparison. Compared with the previous theory, it is found that in the case of q = 2 our estimate is in good agreement with the simulation result, while for the case of q = 3 it provides a lower boundary of the storage capacity instead. The result may provide useful information for possible applications of neural networks.
机译:我们研究了q状态Potts-玻璃神经网络的绝对存储容量,该容量决定了可以真正检索到多少个存储模式。通过理论分析结合局部场分布特征,提出了一个估计存储容量的通用公式,并给出了q = 2和q = 3的动力学仿真进行比较。与以前的理论相比,发现在q = 2的情况下,我们的估计与仿真结果非常吻合,而在q = 3的情况下,我们提供了较低的存储容量边界。结果可以为神经网络的可能应用提供有用的信息。

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