神经元同伦回归量

R. Rodrigo, D. Patiño, G. Schweickardt
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引用次数: 0

摘要

本文提出了一种神经网络模型,解决了人工神经网络的两个局限性。第一个是指在训练数据领域之外进行外推的能力。第二个问题出现在只有一个小样本可用于训练的情况下。另一方面,有必要表征一个复杂的系统,其组成部分的动力学是部分已知的。该模型采用同伦分析方法,从可行空间构造回归量。这样就得到了一个泛函神经网络。
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Neuronal Homotopy Regressors
In this work, a neural model is proposed, which solves two limitations of artificial neural networks. The first refers to the ability to extrapolate outside the domain of the training data. The second arises when only a small sample is available for training. On the other hand, there is a need to characterize a complex system, and the dynamics of its components is partially known. The proposed model is based on the construction of a regressor from a feasible space, using Homotopy Analysis. In this way, a functional neural network is obtained.
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