{"title":"论分区度量空间、索引函数和数据压缩","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":"{\"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}","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}
On Partition Metric Space, Index Function, and Data Compression
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.