{"title":"Incremental Gain Analysis of Chaotic Recurrent Neural Network and Applications in Pattern Association","authors":"Yilei Wu, Qinglin Song, Sheng Liu","doi":"10.1109/IJCNN.2006.247357","DOIUrl":null,"url":null,"abstract":"Chaotic neural networks have been successfully applied in pattern association problems in many research. However there are few in-depth theoretical analysis for such networks, such as stability issues. In this paper, we propose a new type of chaotic recurrent neural network (CRNN) which is more powerful in pattern association comparing to previous work. Furthermore robustness analysis is also presented based on circle theorem, which contributes to provide a theoretical guideline on how to choose the CRNN parameter in different cases. Simulations are also given to verify the results.","PeriodicalId":134599,"journal":{"name":"IEEE International Joint Conference on Neural Network","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE International Joint Conference on Neural Network","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IJCNN.2006.247357","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Chaotic neural networks have been successfully applied in pattern association problems in many research. However there are few in-depth theoretical analysis for such networks, such as stability issues. In this paper, we propose a new type of chaotic recurrent neural network (CRNN) which is more powerful in pattern association comparing to previous work. Furthermore robustness analysis is also presented based on circle theorem, which contributes to provide a theoretical guideline on how to choose the CRNN parameter in different cases. Simulations are also given to verify the results.