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New information theoretical approach to the storage capacity of neural networks with binary weights

机译:二元重量神经网络存储容量的新信息理论方法

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New information theoretical approach for the storage capacities of the perceptron with binary weightsω{sub}i∈ E {0,1},{-1,+1} are presented. Our main ideas come from the introduction of the minimum distance "d" between input patterns, whichdominates the capacity of each neural networks. This approach by means of the new parameter "d" is completely different from the usual replica method in statistical physics, but it can succeed to obtain the almost same storage capacities as those by thereplica method. Moreover, this information theoretical approach has some advantages of providing easier and more intuitive understanding of the capacity and the distinguishable minimum distance which characterizes the neural networks.
机译:提出了具有二进制权重ω{sub}i∈e{0,1},{ - 1,+ 1}的Perceptron存储容量的新信息理论方法。我们的主要思想来自引入输入模式之间的最小距离“D”,这是每个神经网络的容量。这种方法通过新的参数“D”与统计物理中的通常的副本方法完全不同,但它可以成功获得与那里的几乎相同的存储容量。此外,该信息理论方法具有一些优点,提供更容易,更直观地了解能力和特征的可区分最小距离,其特征是神经网络。

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