Abstract | ||
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We study the online clustering problem where data items arrive in an online fashion. The algorithm maintains a clustering of data items into similarity classes. Upon arrival of v, the relation between v and previously arrived items is revealed, so that for each u we are told whether v is similar to u. The algorithm can create a new cluster for v and merge existing clusters. When the objective is to minimize disagreements between the clustering and the input, we prove that a natural greedy algorithm is O(n)-competitive, and this is optimal. When the objective is to maximize agreements between the clustering and the input, we prove that the greedy algorithm is.5-competitive; that no online algorithm can be better than.834-competitive; we prove that it is possible to get better than 1/2, by exhibiting a randomized algorithm with competitive ratio.5+c for a small positive fixed constant c. |
Year | DOI | Venue |
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2010 | 10.4230/LIPIcs.STACS.2010.2486 | Leibniz International Proceedings in Informatics |
Keywords | DocType | Volume |
correlation clustering,online algorithms | Journal | 5 |
ISSN | Citations | PageRank |
1868-8969 | 3 | 0.41 |
References | Authors | |
8 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Claire Mathieu | 1 | 452 | 25.78 |
Ocan Sankur | 2 | 105 | 14.76 |
Warren Schudy | 3 | 221 | 12.08 |