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Efficient Computation of Iceberg Cubes with Complex Measures


Jiawei Han, Jian Pei, Guozhu Dong, and Ke Wang

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Return to Cubes and Aggregates


Abstract

It is often too expensive to compute and materialize a complete high­dimensional data cube. Computing an iceberg cube, which contains only aggregates above certain thresholds, is an effective way to derive nontrivial multi­dimensional aggregations for OLAP and data mining. In this paper, we study efficient methods for computing iceberg cubes with some popularly used complex measures, such as average, and develop a methodology that adopts a weaker but anti­monotonic condition for testing and pruning search space. In particular, for efficient computation of iceberg cubes with the average measure, we propose a top­k average pruning method and extend two previously studied methods, Apriori and BUC, to Top­k Apriori and Top­k BUC. To further improve the performance, an interesting hypertree structure, called H­tree, is designed and a new iceberg cubing method, called Top­k H­Cubing, is developed. Our performance study shows that Top­k BUC and Top­k H­Cubing are promising candidates for scalable computation, and Top­k H­Cubing has the best performance in many cases.


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