Spatial complexity in multi-layer cellular neural networks

Jung Chao Ban; Chih Hung Chang; Song-Sun Lin; Yin Heng Lin

doi:10.1109/CNNA.2010.5430257

Spatial complexity in multi-layer cellular neural networks

Jung Chao Ban^*, Chih Hung Chang, Song-Sun Lin, Yin Heng Lin

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This study investigates the complexity of the global set of output patterns for one-dimensional multi-layer cellular neural networks with input. Applying labeling to the output space produces a sofic shift space. Two invariants, namely spatial entropy and dynamical zeta function, can be exactly computed by studying the induced sofic shift space. This study gives sofic shift a realization through a realistic model. Furthermore, a new phenomenon, the broken of symmetry of entropy, is discovered in multi-layer cellular neural networks with input.

Original language	English
Title of host publication	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
DOIs	https://doi.org/10.1109/CNNA.2010.5430257
State	Published - 21 May 2010
Event	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 - Berkeley, CA, United States Duration: 3 Feb 2010 → 5 Feb 2010

Publication series

Name	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010

Conference

Conference	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
Country/Territory	United States
City	Berkeley, CA
Period	3/02/10 → 5/02/10

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10.1109/CNNA.2010.5430257

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Ban, J. C., Chang, C. H., Lin, S.-S., & Lin, Y. H. (2010). Spatial complexity in multi-layer cellular neural networks. In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 Article 5430257 (2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010). https://doi.org/10.1109/CNNA.2010.5430257

@inproceedings{62c48c0fc8b742a3b9e33e56fab38c8d,

title = "Spatial complexity in multi-layer cellular neural networks",

abstract = "This study investigates the complexity of the global set of output patterns for one-dimensional multi-layer cellular neural networks with input. Applying labeling to the output space produces a sofic shift space. Two invariants, namely spatial entropy and dynamical zeta function, can be exactly computed by studying the induced sofic shift space. This study gives sofic shift a realization through a realistic model. Furthermore, a new phenomenon, the broken of symmetry of entropy, is discovered in multi-layer cellular neural networks with input.",

author = "Ban, {Jung Chao} and Chang, {Chih Hung} and Song-Sun Lin and Lin, {Yin Heng}",

year = "2010",

month = may,

day = "21",

doi = "10.1109/CNNA.2010.5430257",

language = "English",

isbn = "9781424466795",

series = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010",

booktitle = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010",

note = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 ; Conference date: 03-02-2010 Through 05-02-2010",

}

Ban, JC, Chang, CH, Lin, S-S & Lin, YH 2010, Spatial complexity in multi-layer cellular neural networks. in 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010., 5430257, 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010, 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010, Berkeley, CA, United States, 3/02/10. https://doi.org/10.1109/CNNA.2010.5430257

Spatial complexity in multi-layer cellular neural networks. / Ban, Jung Chao; Chang, Chih Hung; Lin, Song-Sun et al.
2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010. 2010. 5430257 (2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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M3 - Conference contribution

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SN - 9781424466795

T3 - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010

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T2 - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010

Y2 - 3 February 2010 through 5 February 2010

ER -

Spatial complexity in multi-layer cellular neural networks

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