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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Pavan, A. Tirthapura, S. |
| Copyright Year | 2005 |
| Description | Author affiliation: Dept. of Comput. Sci., Iowa State Univ., Ames, IA, USA (Pavan, A.) |
| Abstract | Efficient one-pass computation of F/sub 0/, the number of distinct elements in a data stream, is a fundamental problem arising in various contexts in databases and networking. We consider the problem of efficiently estimating F/sub 0/ of a data stream where each element of the stream is an interval of integers. We present a randomized algorithm which gives an (/spl epsiv/, /spl delta/) approximation of F/sub 0/, with the following time complexity (n is the size of the universe of the items): (1) the amortized processing time per interval is O(log1//spl delta/ log n//spl epsiv/). (2) The time to answer a query for F/sub 0/ is O(log1//spl delta/). The workspace used is O(1//spl epsiv//sup 2/log1//spl delta/logn) bits. Our algorithm improves upon a previous algorithm by Bar-Yossef Kumar and Sivakumar (2002), which requires O(1//spl epsiv//sup 5/log1//spl delta/log/sup 5/n) processing time per item. Our algorithm can be used to compute the max-dominance norm of a stream of multiple signals, and significantly improves upon the current best bounds due to Cormode and Muthukrishnan (2003). This also provides efficient and novel solutions for data aggregation problems in sensor networks studied by Nath and Gibbons (2004) and Considine et. al. (2004). |
| Sponsorship | IEEE Comput. Soc. Database Soc. of Japan (DBSJ) Inf. Process. Soc. of Japan (IPSJ) Inst. of Electron., Inf. and Commun. Eng. (IEICE) |
| Starting Page | 32 |
| Ending Page | 43 |
| File Size | 241012 |
| Page Count | 12 |
| File Format | |
| ISBN | 0769522858 |
| ISSN | 10844627 |
| DOI | 10.1109/ICDE.2005.118 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2005-04-05 |
| Publisher Place | Japan |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Aggregates Frequency estimation Computer networks Databases Algorithm design and analysis Approximation algorithms Query processing |
| Content Type | Text |
| Resource Type | Article |
| Subject | Signal Processing Information Systems Software |
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