{"title":"Stability of the generalised lotto-type competitive learning","authors":"A. Luk, S. Lien","doi":"10.1109/ICONIP.1999.844706","DOIUrl":null,"url":null,"abstract":"Introduces a generalised idea of a lotto-type competitive learning (LTCL) algorithm where one or more winners exist. The winners are divided into tiers, with each tier being rewarded differently. Again, the losers are all penalised equally. A set of dynamic LTCL equations is then introduced to assist the study of the stability of the generalised LTCL. It is shown that if a K-orthant exists in the LTCL's state space, which is an attracting invariant set of the network's flow, it will converge to a fixed point.","PeriodicalId":237855,"journal":{"name":"ICONIP'99. ANZIIS'99 & ANNES'99 & ACNN'99. 6th International Conference on Neural Information Processing. Proceedings (Cat. No.99EX378)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICONIP'99. ANZIIS'99 & ANNES'99 & ACNN'99. 6th International Conference on Neural Information Processing. Proceedings (Cat. No.99EX378)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICONIP.1999.844706","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
Introduces a generalised idea of a lotto-type competitive learning (LTCL) algorithm where one or more winners exist. The winners are divided into tiers, with each tier being rewarded differently. Again, the losers are all penalised equally. A set of dynamic LTCL equations is then introduced to assist the study of the stability of the generalised LTCL. It is shown that if a K-orthant exists in the LTCL's state space, which is an attracting invariant set of the network's flow, it will converge to a fixed point.
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