Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6863464 | Neural Networks | 2013 | 8 Pages |
Abstract
This manuscript considers the learning problem of multi-layer neural networks (MNNs) with an activation function which comes from cellular neural networks. A systematic investigation of the partition of the parameter space is provided. Furthermore, the recursive formula of the transition matrix of an MNN is obtained. By implementing the well-developed tools in the symbolic dynamical systems, the topological entropy of an MNN can be computed explicitly. A novel phenomenon, the asymmetry of a topological diagram that was seen in Ban, Chang, Lin, and Lin (2009) [J. Differential Equations 246, pp. 552-580, 2009], is revealed.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jung-Chao Ban, Chih-Hung Chang,