{"title":"一种基于多级空间压缩测度积分的中值计算算法","authors":"Tang Quan-hua, Lei Jine","doi":"10.1109/YCICT.2010.5713054","DOIUrl":null,"url":null,"abstract":"A new method for median computation was proposed based on a measure-integral model of median. At first the measure-integral model employs a step function to extend the array for median. Then the definition of function median is presented conforming to the definition of an array's median. The relationship between median and measure-integral is deduced and an algorithm is gained. To search the measure space fast we compress the measure space and get the compressed measure-integral. This is extended to multi-level compressing method at last. At last the start point to search is discussed to reduce the search distance. Experiments and analysis show that computing median with measure-integral has higher speed than known algorithms.","PeriodicalId":179847,"journal":{"name":"2010 IEEE Youth Conference on Information, Computing and Telecommunications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A median computing algorithm based on multi-level space compressed measure-integral\",\"authors\":\"Tang Quan-hua, Lei Jine\",\"doi\":\"10.1109/YCICT.2010.5713054\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new method for median computation was proposed based on a measure-integral model of median. At first the measure-integral model employs a step function to extend the array for median. Then the definition of function median is presented conforming to the definition of an array's median. The relationship between median and measure-integral is deduced and an algorithm is gained. To search the measure space fast we compress the measure space and get the compressed measure-integral. This is extended to multi-level compressing method at last. At last the start point to search is discussed to reduce the search distance. Experiments and analysis show that computing median with measure-integral has higher speed than known algorithms.\",\"PeriodicalId\":179847,\"journal\":{\"name\":\"2010 IEEE Youth Conference on Information, Computing and Telecommunications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE Youth Conference on Information, Computing and Telecommunications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/YCICT.2010.5713054\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE Youth Conference on Information, Computing and Telecommunications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/YCICT.2010.5713054","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A median computing algorithm based on multi-level space compressed measure-integral
A new method for median computation was proposed based on a measure-integral model of median. At first the measure-integral model employs a step function to extend the array for median. Then the definition of function median is presented conforming to the definition of an array's median. The relationship between median and measure-integral is deduced and an algorithm is gained. To search the measure space fast we compress the measure space and get the compressed measure-integral. This is extended to multi-level compressing method at last. At last the start point to search is discussed to reduce the search distance. Experiments and analysis show that computing median with measure-integral has higher speed than known algorithms.