Ranking the Top-K Realizations of Stochastically Known Event Logs

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Hauptverfasser: Lepsien, Arvid, Pegoraro, Marco, Fonger, Frederik, Langhammer, Dominic, Aleknonytė-Resch, Milda, Koschmider, Agnes
Format: Preprint
Veröffentlicht: 2024
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author Lepsien, Arvid
Pegoraro, Marco
Fonger, Frederik
Langhammer, Dominic
Aleknonytė-Resch, Milda
Koschmider, Agnes
author_facet Lepsien, Arvid
Pegoraro, Marco
Fonger, Frederik
Langhammer, Dominic
Aleknonytė-Resch, Milda
Koschmider, Agnes
contents Various kinds of uncertainty can occur in event logs, e.g., due to flawed recording, data quality issues, or the use of probabilistic models for activity recognition. Stochastically known event logs make these uncertainties transparent by encoding multiple possible realizations for events. However, the number of realizations encoded by a stochastically known log grows exponentially with its size, making exhaustive exploration infeasible even for moderately sized event logs. Thus, considering only the top-K most probable realizations has been proposed in the literature. In this paper, we implement an efficient algorithm to calculate a top-K realization ranking of an event log under event independence within O(Kn), where n is the number of uncertain events in the log. This algorithm is used to investigate the benefit of top-K rankings over top-1 interpretations of stochastically known event logs. Specifically, we analyze the usefulness of top-K rankings against different properties of the input data. We show that the benefit of a top-K ranking depends on the length of the input event log and the distribution of the event probabilities. The results highlight the potential of top-K rankings to enhance uncertainty-aware process mining techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00067
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ranking the Top-K Realizations of Stochastically Known Event Logs
Lepsien, Arvid
Pegoraro, Marco
Fonger, Frederik
Langhammer, Dominic
Aleknonytė-Resch, Milda
Koschmider, Agnes
Databases
Machine Learning
Various kinds of uncertainty can occur in event logs, e.g., due to flawed recording, data quality issues, or the use of probabilistic models for activity recognition. Stochastically known event logs make these uncertainties transparent by encoding multiple possible realizations for events. However, the number of realizations encoded by a stochastically known log grows exponentially with its size, making exhaustive exploration infeasible even for moderately sized event logs. Thus, considering only the top-K most probable realizations has been proposed in the literature. In this paper, we implement an efficient algorithm to calculate a top-K realization ranking of an event log under event independence within O(Kn), where n is the number of uncertain events in the log. This algorithm is used to investigate the benefit of top-K rankings over top-1 interpretations of stochastically known event logs. Specifically, we analyze the usefulness of top-K rankings against different properties of the input data. We show that the benefit of a top-K ranking depends on the length of the input event log and the distribution of the event probabilities. The results highlight the potential of top-K rankings to enhance uncertainty-aware process mining techniques.
title Ranking the Top-K Realizations of Stochastically Known Event Logs
topic Databases
Machine Learning
url https://arxiv.org/abs/2410.00067