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| Title: | Hausdorff Dimension of Multi-Layer Neural Networks |
| Authors: | 班榮超 Ban, Jung-Chao Chang, Chih-Hung |
| Contributors: | 應數系 |
| Keywords: | Multi-Layer Neural Networks;Hausdorff Dimension;Sofic Shift;Output Space |
| Date: | 2013-11 |
| Issue Date: | 2020-04-28 13:55:07 (UTC+8) |
| Abstract: | 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. |
| Relation: | Advances in Pure Mathematics, 2013, 3, 9-14 |
| Data Type: | article |
| DOI 連結: | https://doi.org/10.4236/apm.2013.39A1002 |
| Appears in Collections: | [應用數學系] 期刊論文 |
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