{"title":"在非常大的矩形不相似数据簇的可视化","authors":"L. Park, J. Bezdek, C. Leckie","doi":"10.1109/ICARA.2000.4803948","DOIUrl":null,"url":null,"abstract":"D is an m×n matrix of pairwise dissimilarities between m row objects Or and n column objects Oc, which, taken together, comprise m+n objects O = [o<inf>1</inf>,…o<inf>m</inf>,o<inf>m+1</inf>,…o<inf>m+n</inf>]. There are four clustering problems associated with O: (P1) amongst the row objects O<inf>r</inf>; (P2) amongst the column objects O<inf>c</inf>; (P3) amongst the union of the row and column objects O=O<inf>r</inf>∪O<inf>c</inf>; and (P4) amongst the union of the row and column objects that contain at least one object of each type (co-clusters). The coVAT algorithm, which builds images for visual assessment of clustering tendency for these problems, is limited to m×n ≈ O(10<sup>4</sup>×10<sup>4</sup>). We develop a scalable version of coVAT that approximates coVAT images when D is very large. Two examples are given to illustrate and evaluate the new method.","PeriodicalId":435769,"journal":{"name":"2009 4th International Conference on Autonomous Robots and Agents","volume":"126 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Visualization of clusters in very large rectangular dissimilarity data\",\"authors\":\"L. Park, J. Bezdek, C. Leckie\",\"doi\":\"10.1109/ICARA.2000.4803948\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"D is an m×n matrix of pairwise dissimilarities between m row objects Or and n column objects Oc, which, taken together, comprise m+n objects O = [o<inf>1</inf>,…o<inf>m</inf>,o<inf>m+1</inf>,…o<inf>m+n</inf>]. There are four clustering problems associated with O: (P1) amongst the row objects O<inf>r</inf>; (P2) amongst the column objects O<inf>c</inf>; (P3) amongst the union of the row and column objects O=O<inf>r</inf>∪O<inf>c</inf>; and (P4) amongst the union of the row and column objects that contain at least one object of each type (co-clusters). The coVAT algorithm, which builds images for visual assessment of clustering tendency for these problems, is limited to m×n ≈ O(10<sup>4</sup>×10<sup>4</sup>). We develop a scalable version of coVAT that approximates coVAT images when D is very large. Two examples are given to illustrate and evaluate the new method.\",\"PeriodicalId\":435769,\"journal\":{\"name\":\"2009 4th International Conference on Autonomous Robots and Agents\",\"volume\":\"126 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 4th International Conference on Autonomous Robots and Agents\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICARA.2000.4803948\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 4th International Conference on Autonomous Robots and Agents","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICARA.2000.4803948","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Visualization of clusters in very large rectangular dissimilarity data
D is an m×n matrix of pairwise dissimilarities between m row objects Or and n column objects Oc, which, taken together, comprise m+n objects O = [o1,…om,om+1,…om+n]. There are four clustering problems associated with O: (P1) amongst the row objects Or; (P2) amongst the column objects Oc; (P3) amongst the union of the row and column objects O=Or∪Oc; and (P4) amongst the union of the row and column objects that contain at least one object of each type (co-clusters). The coVAT algorithm, which builds images for visual assessment of clustering tendency for these problems, is limited to m×n ≈ O(104×104). We develop a scalable version of coVAT that approximates coVAT images when D is very large. Two examples are given to illustrate and evaluate the new method.