Pairs covered by a sequence of sets
Paper in proceeding, 2015

Enumerating minimal new combinations of elements in a sequence of sets is interesting, e.g., for novelty detection in a stream of texts. The sets are the bags of words occuring in the texts. We focus on new pairs of elements as they are abundant. By simple data structures we can enumerate them in quadratic time, in the size of the sets, but large intersections with earlier sets rule out all pairs therein in linear time. The challenge is to use this observation efficiently. We give a greedy heuristic based on the twin graph, a succinct description of the pairs covered by a set family, and on finding good candidate sets by random sampling. The heuristic is motivated and supported by several related complexity results: sample size estimates, hardness of maximal coverage of pairs, and approximation guarantees when a few sets cover almost all pairs.

Author

Peter Damaschke

Chalmers, Computer Science and Engineering (Chalmers), Computing Science (Chalmers)

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. 9210 214-226
978-3-319-22176-2 (ISBN)

Roots

Basic sciences

Subject Categories

Computer Science

DOI

10.1007/978-3-319-22177-9_17

ISBN

978-3-319-22176-2

More information

Created

10/7/2017