Hausdorff Dimension of Multi-Layer Neural Networks

作     者：Jung-Chao Ban Chih-Hung Chang 

作者机构：Department of Applied Mathematics Feng Chia University Taichung Taiwan Department of Applied Mathematics National Dong Hwa University Hualien Taiwan 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2013年第3卷第9期

页      面：9-14页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Multi-Layer Neural Networks Hausdorff Dimension Sofic Shift Output Space 

摘      要：This elucidation investigates the Hausdorff dimension of the output space of multi-layer neural networks. When the factor map from the covering space of the output space to the output space has a synchronizing word, the Hausdorff dimension of the output space relates to its topological entropy. This clarifies the geometrical structure of the output space in more details.