{"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}
引用次数: 1
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.