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Training three-layer neural network classifiers by solving inequalities

机译:通过解决不平等训练三层神经网络分类器

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In this paper we discuss training of three-layer neural network classifiers by solving inequalities. Namely, first we represent each class by the center of the training data belonging to the class, and determine the set of hyperplanes that separate each class into a single region. Then according to whether the center is on the positive or negative side of the hyperplane, we determine the target values of each class for the hidden neurons. Since the convergence condition of the neural network classifier is now represented by the two sets of inequalities, we solve the sets successively by the Ho-Kashyap algorithm. We demonstrate the advantage of our method over the BP using three benchmark data sets.
机译:在本文中,我们通过解决不平等讨论三层神经网络分类器的培训。即,首先,我们代表属于该类培训数据的中心的每个类,并确定将每个类分隔为单个区域的超平面集。然后根据中心是否位于超平面的正面或负面,我们确定隐藏神经元的每个类的目标值。由于神经网络分类器的收敛条件现在由两组不等式表示,因此我们通过HO-KASHYAP算法连续地解决了集合。我们使用三个基准数据集展示了我们对BP的方法的优势。

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