TY - JOUR
T1 - Cellular neural networks
T2 - Local patterns for general templates
AU - Hsu, Cheng Hsiung
AU - Juang, Jonq
AU - Lin, Song Sun
AU - Lin, Wen Wei
PY - 2000/7
Y1 - 2000/7
N2 - This work investigates the mosaic local patterns for cellular neural networks with general templates. Our results demonstrate that the set of templates can be divided into many finite regions. In each region, the same family of local patterns can be generated. Conversely, our results further demonstrate that some templates can realize a family of local patterns which can be linearly separated by a hyperplane in the configuration space. This study also proposes algorithms for verifying the linear separability for a given family of local patterns and, when it is separable, for obtaining the associated template.
AB - This work investigates the mosaic local patterns for cellular neural networks with general templates. Our results demonstrate that the set of templates can be divided into many finite regions. In each region, the same family of local patterns can be generated. Conversely, our results further demonstrate that some templates can realize a family of local patterns which can be linearly separated by a hyperplane in the configuration space. This study also proposes algorithms for verifying the linear separability for a given family of local patterns and, when it is separable, for obtaining the associated template.
UR - http://www.scopus.com/inward/record.url?scp=0034216036&partnerID=8YFLogxK
U2 - 10.1142/S0218127400001031
DO - 10.1142/S0218127400001031
M3 - 期刊論文
AN - SCOPUS:0034216036
SN - 0218-1274
VL - 10
SP - 1645
EP - 1659
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 7
ER -