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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：英国牛津大学数学所
学位：博士
所在单位：数学科学学院
学科：计算数学
电子邮箱：wuweiw@dlut.edu.cn
扫描关注
Uniform approximation capabilities of sum-of-product and sigma-pi-sigma neural networks
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论文类型：会议论文
发表时间：2007-06-03
收录刊物：EI、CPCI-S
卷号：4491
期号：PART 1
页面范围：1110-+
摘要：Investigated in this paper are the uniform approximation capabilities of sum-of-product (SOPNN) and sigma-pi-sigma (SPSNN) neural networks. It is proved that the set of functions that are generated by an SOPNN with its activation function in C(R) is dense in C(K) for any compact K is an element of R-N, if and only if the activation function is not a polynomial. It is also shown that if the activation function of an SPSNN is in C(R), then the functions generated by the SPSNN are dense in C(K) if and only if the activation function is not a constant.