{"title":"On Partition Metric Space, Index Function, and Data Compression","authors":"D. Simovici, Roman A. Sizov","doi":"10.7561/sacs.2018.1.141","DOIUrl":null,"url":null,"abstract":"We discuss a metric structure on the set of partitions of a finite set induced by the Gini index and two applications of this metric: the identification of determining sets for index functions using techniques that originate in machine learning, and a data compression algorithm.","PeriodicalId":394919,"journal":{"name":"Sci. Ann. Comput. Sci.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sci. Ann. Comput. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7561/sacs.2018.1.141","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We discuss a metric structure on the set of partitions of a finite set induced by the Gini index and two applications of this metric: the identification of determining sets for index functions using techniques that originate in machine learning, and a data compression algorithm.