Pseudo-potentiality maximization for improved interpretation and generalization in neural networks

R. Kamimura
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Abstract

The present paper proposes a new type of information-theoretic method called “pseudo potentiality maximization”. The potentiality means neurons' ability to respond appropriately to as many situations as possible. For the first approximation, the potentiality is represented by the variance of neurons toward input patterns. Because difficulty exists to compute and control this potentiality, the pseudo-potentiality is introduced with a parameter to control the amount of potentiality. By controlling this parameter, the potentiality is easily increased or decreased. The method was applied to the well-known Australian credit data set. The experimental results showed that the lowest generalization errors were obtained by the present method. In addition, interpretable connection weights were obtained, similar to the regression coefficients of the logistic analysis.
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神经网络中改进解释和泛化的伪势最大化
本文提出了一种新的信息论方法——“伪势能最大化”。这种潜能意味着神经元对尽可能多的情况做出适当反应的能力。对于第一个近似,电位由神经元对输入模式的方差表示。由于这种势的计算和控制存在困难,因此引入了带参数的伪势来控制势的数量。通过控制这个参数,可以很容易地增加或减少电势。该方法应用于著名的澳大利亚信贷数据集。实验结果表明,该方法的泛化误差最小。此外,获得了可解释的连接权重,类似于逻辑分析的回归系数。
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