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Incremental Learning Of Dynamic Fuzzy Neural Networks For Accuratesystem Modeling

机译:动态模糊神经网络的增量学习用于精确系统建模

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摘要

In this paper we propose a novel incremental learning approach based on a hybrid fuzzy neural net framework. A key feature of the approach is the adaptation of the fuzzy neural network (FNN) modeling to every new data. The typical algorithm of FNN is inefficient when used in an accurate online time series because they must be retrained from scratch every time the training set is modified. In order to reduce the expense of FNN learning for a dynamic system, a general methodology leading to quick algorithms for FNN modeling is developed. The FNN-LM algorithm for a static FNN and incremental learning algorithm (ILA) for dynamic fuzzy neural network (DFNN) are also presented to enforce the model to approximate every new sample. The ILA approach has the advantages of avoiding increasing the ranks of matrixes and avoiding solving the inverse matrix when samples increase gradually. When it is used to predict an accurate online time series, the DFNN model can efficiently update a trained static FNN with a very fast speed according to the sample added to the training set. Numerical experiments validate our theoretical results. Excellent performances of the proposed approach in modeling accuracy and learning convergence are exhibited.
机译:在本文中,我们提出了一种基于混合模糊神经网络框架的新颖的增量学习方法。该方法的关键特征是使模糊神经网络(FNN)建模适应每个新数据。在精确的在线时间序列中使用FNN的典型算法效率不高,因为每次修改训练集时都必须从头开始对其进行重新训练。为了减少用于动态系统的FNN学习的费用,开发了导致FNN建模快速算法的通用方法。还提出了用于静态FNN的FNN-LM算法和用于动态模糊神经网络(DFNN)的增量学习算法(ILA),以强制模型逼近每个新样本。 ILA方法的优点是避免增加矩阵的秩,并且避免在样本逐渐增加时求解逆矩阵。当用于预测准确的在线时间序列时,DFNN模型可以根据添加到训练集中的样本以非常快的速度有效地更新训练后的静态FNN。数值实验验证了我们的理论结果。展示了该方法在建模准确性和学习收敛性方面的出色表现。

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