2005
DOI: 10.1007/s10115-004-0174-5
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Reliable detection of episodes in event sequences

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Cited by 76 publications
(81 citation statements)
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“…Many researchers have studied on particular techniques, such as the statistical profiling using histograms [6], parametric statistical modeling [7], non-parametric statistical modeling [8], rulebased system [9], clustering-based technique [10], and spectral technique [11]. All these techniques are straightforward, but selecting appropriate parameters and threshold, especially when behavior of network traffic changes, is quite difficult.…”
mentioning
confidence: 99%
“…Many researchers have studied on particular techniques, such as the statistical profiling using histograms [6], parametric statistical modeling [7], non-parametric statistical modeling [8], rulebased system [9], clustering-based technique [10], and spectral technique [11]. All these techniques are straightforward, but selecting appropriate parameters and threshold, especially when behavior of network traffic changes, is quite difficult.…”
mentioning
confidence: 99%
“…In our paper [8] the problem of the reliable detection of unusual episodes was investigated, where we considered an episode in the form of a single sequence occurring as an ordered subsequence of a large event stream within a window of a given fixed size. This kind of episode is called a "serial episode" in the terminology of [10], and we henceforth adopt this terminology.…”
Section: Introductionmentioning
confidence: 99%
“…This kind of episode is called a "serial episode" in the terminology of [10], and we henceforth adopt this terminology. In [8] we proposed a method for reliable detection of significant episodes, where as a measure of significance we used Ω ∃ (n, w, m) the number of windows of length w which contain at least one occurrence of serial episode S of length m as a subsequence in event sequence T after n shifts of the window. We proved that appropriately normalized Ω ∃ (n, w, m) has the Gaussian distribution, where the expected value E[Ω ∃ (n, w, m)] = nP ∃ (w, m) and P ∃ (w, m) is the probability that a serial episode S of length m occurs at least once in a window of length w in an event sequence T over an alphabet A.…”
Section: Introductionmentioning
confidence: 99%
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