【摘要】 引入加权 Ham ming距离球 (WHDS)分析阈函数 .首先提出并证明加权 Hamm ing球与阈函数完全等价 ,然后以有向图的形式表示加权 Hamming距离球并给出几个重要性质 .最后由加权 Hamming距离球的分析得到几个阈函数判别及构造的几个结论 .更多还原

【Abstract】 Any linearly separable set of binary patterns is characterized by a threshold function (TH). A concept of weighted Hamming distance sphere (WHDS) is introduced to analyze TH in this paper. First it is proposed and proved that WHDS is equivalent to TH. Then WHDS is viewed from form of directed graph, which helps to understand deeply structure of WHDS. Finally, from studies on WHDS, some results on construction and judgement of TH are presented.更多还原