{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:57:32Z","timestamp":1760245052288,"version":"3.37.3"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Ltd","issue":"Suppl. 2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2018,12]]},"abstract":"<jats:p> Online clustering has attracted attention due to the explosion of ubiquitous continuous sensing. Streaming clustering algorithms need to look for new structures and adapt as the data evolves, such that outliers are detected, and that new emerging clusters are automatically formed. The performance of a streaming clustering algorithm needs to be monitored over time to understand the behavior of the streaming data in terms of new emerging clusters and number of outlier data points. Small datasets with 2 or 3 dimensions can be monitored by plotting the clustering results as data evolves. However, as the size and dimensions of streaming data increase, plotting the clustering result becomes unfeasible. Therefore, incremental internal Validity Indices (iCVIs) could be applied for monitoring the performance of an online clustering algorithm. In this paper, we study the internal incremental Davies-Bouldin (iDB) cluster validity index in the context of big streaming data analysis. Also, we study the effect of large number of samples on the values of the iCVI (iDB). Finally, we propose a way to project streaming data into a lower space for cases where the distance measure does not perform as expected in the high dimensional space. <\/jats:p>","DOI":"10.1142\/s0218488518400111","type":"journal-article","created":{"date-parts":[[2018,12,19]],"date-time":"2018-12-19T22:07:35Z","timestamp":1545257255000},"page":"47-62","source":"Crossref","is-referenced-by-count":7,"title":["Analysis of Incremental Cluster Validity for Big Data Applications"],"prefix":"10.1142","volume":"26","author":[{"given":"Omar A.","family":"Ibrahim","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Missouri, Columbia, MO 65211, USA"},{"name":"Department of Electrical Engineering, Tikrit University, Tikrit, Iraq"}]},{"given":"Yiqing","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Missouri, Columbia, MO 65211, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0306-7142","authenticated-orcid":false,"given":"James M.","family":"Keller","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Missouri, Columbia, MO 65211, USA"}]}],"member":"219","published-online":{"date-parts":[[2019,1,30]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1145\/2522968.2522981"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2003.1198387"},{"issue":"14","key":"p_4","first-page":"281","volume":"1","author":"J","year":"1967","journal-title":"Proc. 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