In a recent paper, Ajtai et al. [1] give a streaming algorithm to count the number of inversions in a stream Ä ¾ Ñ Ò using two passes and Ç´¯ ½ ÔÒÐÓ Ò´ÐÓ Ñ·ÐÓ...
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Emerging data stream management systems approach the challenge of massive data distributions which arrive at high speeds while there is only small storage by summarizing and minin...
We present algorithms for computing frequency counts exceeding a user-specified threshold over data streams. Our algorithms are simple and have provably small memory footprints. A...