Adaptive Spatial Partitioning for Multidimensional Data Streams

We propose a space-efficient scheme for summarizing multidimensional data streams. Our sketch can be used to solve spatial versions of several classical data stream queries efficiently. For instance, we can track ε-hotspots, which are congruent boxes containing at least an ε fraction of the stream, and maintain hierarchical heavy hitters in d dimensions. Our sketch can also be viewed as a multidimensional generalization of the ε-approximate quantile summary. The space complexity of our scheme is O(1 ε log R) if the points lie in the domain [0, R]d , where d is assumed to be a constant. The scheme extends to the sliding window model with a log(εn) factor increase in space, where n is the size of the sliding window. Our sketch can also be used to answer ε-approximate rectangular range queries over a stream of d-dimensional points.

• Type: Conference
• Year: 2004
• Where: ISAAC
• Authors: John Hershberger, Nisheeth Shrivastava, Subhash Suri, Csaba D. Tóth
• Keywords: Data Stream, Data Stream Queries, ISAAC 2004, Multidimensional Data Streams