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A smoothing algorithm for training max-min neural networks

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成果类型:
期刊论文
作者:
Li, Long;Xu, Tian;Liu, Yan;Yang, Jie
通讯作者:
Li, L.
作者机构:
[Xu, Tian; Li, Long] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, 421008, China
[Yang, Jie] School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
[Liu, Yan] Department of Applied Mathematics, Dalian Polytechnic University, Dalian, 116034, China
通讯机构:
Department of Mathematics and Computational Science, Hengyang Normal University, China
语种:
英文
关键词:
Approximation;Max-min functions;Max-min neural networks;Smoothing algorithm
期刊:
Journal of Theoretical and Applied Information Technology
ISSN:
1817-3195
年:
2012
卷:
46
期:
1
页码:
114-119
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, a smoothing algorithm for training max-min neural networks is proposed. Specifically, we apply a smooth function to approximate max-min functions and use this smoothing technique twice, once to eliminate the inner min operator and once to eliminate the max operator. In place of actual network output by its approximation function, we use all partial derivatives of the approximation function with respect to weight to substitute those of the actual network output. Then, the smoothing algorithm is constructed by the gradient descent method. This algorithm can also be used to solve f...

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