IceCube: Efficient Targeted Mining in Data Cubes

Abstract—We address the problem of mining targeted asso-ciation rules over multidimensional market-basket data. Here, each transaction has, in addition to the set of purchased items, ancillary dimension attributes associated with it. Based on these dimensions, transactions can be visualized as distributed over cells of an n-dimensional cube. In this framework, a targeted association rule is of the form {X → Y}R, where R is a convex region in the cube and X → Y is a traditional association rule within region R. We first describe the TOARM algorithm, based on classical techniques, for identifying targeted association rules. Then, we discuss the concepts of bottom-up aggregation and cubing, leading to the CellUnion technique. This approach is further extended, using notions of cube-count interleaving and credit-based pruning, to derive the IceCube algorithm. Our experi-ments demonstrate that IceCube consistently provides the best execution time performance, especially for large and complex data cubes. Keywords-data cube; association rule mining; localized rules I