Fuzzy Clustering Stability Evaluation of Time Series

Klassen, Gerhard; Tatusch, Martha; Himmelspach, Ludmila; Conrad, Stefan

doi:10.1007/978-3-030-50146-4_50

Cited by 6 publications

(2 citation statements)

References 29 publications

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“…Since the definitions differ in related works, we first present our notations of relevant concepts for our work. Subsequently, we will describe the principles of our approaches CLOSE [51] and FCSETS [30].…”

Section: Methodsmentioning

confidence: 99%

“…The second algorithm FCSETS (Fuzzy Clustering Stability Evaluation of Time Series) [30] is a toolkit developed for fuzzy clustering environments. It makes use of the relative assignment agreement similar to the equivalence relation in the Hüllermeier-Rifqi Index [20] and achieves a stability score by regarding the average weighted difference between the relative assignment agreements of one time series to the others.…”

Section: Introductionmentioning

confidence: 99%

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Cluster-based stability evaluation in time series data sets

2022

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In modern data analysis, time is often considered just another feature. Yet time has a special role that is regularly overlooked. Procedures are usually only designed for time-independent data and are therefore often unsuitable for the temporal aspect of the data. This is especially the case for clustering algorithms. Although there are a few evolutionary approaches for time-dependent data, the evaluation of these and therefore the selection is difficult for the user. In this paper, we present a general evaluation measure that examines clusterings with respect to their temporal stability and thus provides information about the achieved quality. For this purpose, we examine the temporal stability of time series with respect to their cluster neighbors, the temporal stability of clusters with respect to their composition, and finally conclude on the temporal stability of the entire clustering. We summarise these components in a parameter-free toolkit that we call Cluster Over-Time Stability Evaluation (CLOSE). In addition to that we present a fuzzy variant which we call FCSETS (Fuzzy Clustering Stability Evaluation of Time Series). These toolkits enable a number of advanced applications. One of these is parameter selection for any type of clustering algorithm. We demonstrate parameter selection as an example and evaluate results of classical clustering algorithms against a well-known evolutionary clustering algorithm. We then introduce a method for outlier detection in time series data based on CLOSE. We demonstrate the practicality of our approaches on three real world data sets and one generated data set.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%