APM  Vol.3 No.9 A , December 2013
Hausdorff Dimension of Multi-Layer Neural Networks
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.
Cite this paper: J. Ban and C. Chang, "Hausdorff Dimension of Multi-Layer Neural Networks," Advances in Pure Mathematics, Vol. 3 No. 9, 2013, pp. 9-14. doi: 10.4236/apm.2013.39A1002.

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