1. Diamond in multi-layer cellular neural networks.
- Author
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Ban, Jung-Chao and Chang, Chih-Hung
- Subjects
- *
DIAMONDS , *CELLULAR neural networks (Computer science) , *TOPOLOGICAL entropy , *MULTILAYERS , *COMPUTATIONAL complexity , *NUMERICAL analysis - Abstract
Abstract: This investigation considers the complexity of output spaces of multi-layer cellular neural networks. Let be a set of admissible local output patterns coupled with input and let be the set of admissible output patterns extracting from . Since topological entropy is an indicator for investigating the complexity of spaces, we study the topological entropy of output spaces and which are induced by and , respectively. A system has a diamond if . Necessary and sufficient conditions for the existence of diamond are demonstrated separately. Furthermore, numerical experiments exhibit some novel phenomena. [Copyright &y& Elsevier]
- Published
- 2013
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