{"title":"混合光滑Besov类的m项逼近贪心型算法","authors":"Peixin Ye, Qing He","doi":"10.1109/ICNC.2007.200","DOIUrl":null,"url":null,"abstract":"We propose an greedy-type adaptive compression numerical algorithm in best m-term approximation. This algorithm provides the asymptotically optimal approximation by tensor product wavelet-type basis for functions from periodic Besov class with mixed smoothness in the Lq norm. Moreover it depends only on the expansion of function f by tensor product wavelet-type basis but neither on q nor on any special features of f.","PeriodicalId":250881,"journal":{"name":"Third International Conference on Natural Computation (ICNC 2007)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Greedy-type Algorithm in m-term Approximation For Besov Class with Mixed Smoothness\",\"authors\":\"Peixin Ye, Qing He\",\"doi\":\"10.1109/ICNC.2007.200\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose an greedy-type adaptive compression numerical algorithm in best m-term approximation. This algorithm provides the asymptotically optimal approximation by tensor product wavelet-type basis for functions from periodic Besov class with mixed smoothness in the Lq norm. Moreover it depends only on the expansion of function f by tensor product wavelet-type basis but neither on q nor on any special features of f.\",\"PeriodicalId\":250881,\"journal\":{\"name\":\"Third International Conference on Natural Computation (ICNC 2007)\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Third International Conference on Natural Computation (ICNC 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2007.200\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Third International Conference on Natural Computation (ICNC 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2007.200","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Greedy-type Algorithm in m-term Approximation For Besov Class with Mixed Smoothness
We propose an greedy-type adaptive compression numerical algorithm in best m-term approximation. This algorithm provides the asymptotically optimal approximation by tensor product wavelet-type basis for functions from periodic Besov class with mixed smoothness in the Lq norm. Moreover it depends only on the expansion of function f by tensor product wavelet-type basis but neither on q nor on any special features of f.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
