Title
Detection of Significant Sets of Episodes in Event Sequences
Abstract
We present a method for a reliable detection of "unusual" sets of episodes in the form of many pattern sequences, scanned simultaneously for an occurrence as a subsequence in a large event stream within a window of size w. We also investigate the important special case of all permutations of the same sequence, which models the situation where the order of events in an episode does not matter, e.g., when events correspond to purchased market basket items. In order to build a reliable monitoring system we compare obtained measurements to a reference model which in our case is a probabilistic model (Bernoulli or Markov). We first present a precise analysis that leads to a construction of a threshold. The difficulties of carrying out a probabilistic analysis for an arbitrary set of patterns, stems from the possible simultaneous occurrence of many members of the set as subsequences in the same window, the fact that the different patterns typically do have common symbols or common subsequences or possibly common prefixes, and that they may have different lengths. We also report on extensive experimental results, carried out on the Wal-Mart transactions database, that show a remarkable agreement with our theoretical analysis. This paper is an extension of our previous work in [Reliable detection of episodes in event sequences] where we laid out foundation for the problem of the reliable detection of an "unusual" episodes, but did not consider more than one episode scanned simultaneously for an occurrence.
Year
DOI
Venue
2004
10.1109/ICDM.2004.10090
ICDM
Keywords
Field
DocType
set theory,probabilistic model,pattern recognition,sequences,probability,probabilistic analysis,reference model
Data mining,Reference model,Computer science,Artificial intelligence,Special case,Set theory,Pattern recognition,Permutation,Markov chain,Probabilistic analysis of algorithms,Statistical model,Subsequence,Machine learning
Conference
ISBN
Citations 
PageRank 
0-7695-2142-8
35
3.37
References 
Authors
6
3
Name
Order
Citations
PageRank
Mikhail J. Atallah13828340.54
Robert Gwadera212413.81
Wojciech Szpankowski31557192.33