{"title":"A note on bounds for VC dimensions.","authors":"Aad van der Vaart, Jon A Wellner","doi":"10.1214/09-IMSCOLL508","DOIUrl":null,"url":null,"abstract":"<p><p>We provide bounds for the VC dimension of class of sets formed by unions, intersections, and products of VC classes of sets 𝒞(1),…,𝒞(m.</p>","PeriodicalId":88897,"journal":{"name":"Institute of Mathematical Statistics collections","volume":"5 ","pages":"103-107"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2924594/pdf/nihms177738.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Institute of Mathematical Statistics collections","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1214/09-IMSCOLL508","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
We provide bounds for the VC dimension of class of sets formed by unions, intersections, and products of VC classes of sets 𝒞(1),…,𝒞(m.
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