Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/129555
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | |
dc.creator | 班榮超 | |
dc.creator | Ban, Jung-Chao | |
dc.creator | Chang, Chih-Hung | |
dc.date | 2019-05 | |
dc.date.accessioned | 2020-04-28T05:54:34Z | - |
dc.date.available | 2020-04-28T05:54:34Z | - |
dc.date.issued | 2020-04-28T05:54:34Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/129555 | - |
dc.description.abstract | This paper investigates the coloring problem on Fibonacci-Cayley tree, which is a Cayley graph whose vertex set is the Fibonacci sequence. More precisely, we elucidate the complexity of shifts of finite type defined on Fibonacci-Cayley tree via an invariant called entropy. We demonstrate that computing the entropy of a Fibonacci tree-shift of finite type is equivalent to studying a nonlinear recursive system and reveal an algorithm for the computation. What is more, the entropy of a Fibonacci tree-shift of finite type is the logarithm of the spectral radius of its corresponding matrix. We apply the result to neural networks defined on Fibonacci-Cayley tree, which reflect those neural systems with neuronal dysfunction. Aside from demonstrating a surprising phenomenon that there are only two possibilities of entropy for neural networks on Fibonacci-Cayley tree, we address the formula of the boundary in the parameter space. | |
dc.format.extent | 304665 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | Journal of Algebra Combinatorics Discrete Structures and Applications, Vol.6, No.2, pp.105-122 | |
dc.subject | Neural networks ; Learning problem ; Cayley tree ; Separation property, Entropy | |
dc.title | Complexity of neural networks on Fibonacci-Cayley tree | |
dc.type | article | |
item.fulltext | With Fulltext | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | restricted | - |
Appears in Collections: | 期刊論文 |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.