{"title":"简单随机自适应估计算法的指数收敛性","authors":"R. Bitmead, B. O. Anderson","doi":"10.1109/CDC.1978.267996","DOIUrl":null,"url":null,"abstract":"A stochastic algorithm, familiar from adaptive estimation, is introduced and its homogeneous part is shown to be exponentially convergent for a wide class of inputs, which need not be stationary. The implications of this convergence rate for the nonhomogeneous algorithm in practical situations are qualitatively examined and a possible approach to improving performance in use is suggested.","PeriodicalId":375119,"journal":{"name":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Exponentially convergent behaviour of simple stochastic adaptive estimation algorithms\",\"authors\":\"R. Bitmead, B. O. Anderson\",\"doi\":\"10.1109/CDC.1978.267996\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A stochastic algorithm, familiar from adaptive estimation, is introduced and its homogeneous part is shown to be exponentially convergent for a wide class of inputs, which need not be stationary. The implications of this convergence rate for the nonhomogeneous algorithm in practical situations are qualitatively examined and a possible approach to improving performance in use is suggested.\",\"PeriodicalId\":375119,\"journal\":{\"name\":\"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1978.267996\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1978.267996","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponentially convergent behaviour of simple stochastic adaptive estimation algorithms
A stochastic algorithm, familiar from adaptive estimation, is introduced and its homogeneous part is shown to be exponentially convergent for a wide class of inputs, which need not be stationary. The implications of this convergence rate for the nonhomogeneous algorithm in practical situations are qualitatively examined and a possible approach to improving performance in use is suggested.