| 摘要: |
| 给出了凸函数极小值点集的几何特征，它是Rn中的一个单连通子集，用神经网络求解优化问题，必须考察的问题是网络的极限点结构，对梯度神经网络的极限点集进行详细分析，主要结果是对凸函数来说明网络的极限点集就是该函数的极小值点,则这恰是梯度网络求解凸函数总体极限值，网络能够全局稳定收敛的条件。 |
| 关键词: 神经网络 凸函数 极小值点集 极限点集 |
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| The minimizer set of the convex function and the limit point set of neural network governed by gradient of the function |
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| Abstract: |
| The geometric symptoms of the minimizer set of the convex function are described in this paper.Analysis of the limit set for the gradient neural network is also conducted.The result being obtained here shows eminently that the two sets are exactly the same set. |
| Key words: neural network convex function minimizer set limit set |
