2005
DOI: 10.1007/11578079_54
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An Incremental Clustering Algorithm Based on Compact Sets with Radius α

Abstract: In this paper, we present an incremental clustering algorithm in the logical combinatorial approach to pattern recognition, which finds incrementally the β0-compact sets with radius α of an object collection. The proposed algorithm allows generating an intermediate subset of clusters between the β0-connected components and β0-compact sets (including both of them as particular cases). The evaluation experiments on standard document collections show that the proposed algorithm outperforms the algorithms that obt… Show more

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Cited by 3 publications
(3 citation statements)
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“…In the aforementioned work, we pointed out that the β 0 -connected components algorithm shows a tendency of finding excessively large, uncohesive clusters, whereas the β 0 -compact sets algorithm and the extended stars algorithm show a tendency of finding cohesive but excessively small clusters. Here, by using the radius-α-β 0 -compact sets algorithm, we obtain a tunable combination of both behaviors, which has been experimentally proven to outperform each individual behavior when appropriate values are given to the α parameter [16]. Two extreme cases may be pointed out: if α = 0 the algorithm behaves like the classic β 0 -compact sets algorithm; whereas for α ≥ β maxβ 0 , where β max is the maximum similarity value in the collection, the algorithm behaves like the classic β 0 -connected components algorithm.…”
Section: Methodsmentioning
confidence: 99%
“…In the aforementioned work, we pointed out that the β 0 -connected components algorithm shows a tendency of finding excessively large, uncohesive clusters, whereas the β 0 -compact sets algorithm and the extended stars algorithm show a tendency of finding cohesive but excessively small clusters. Here, by using the radius-α-β 0 -compact sets algorithm, we obtain a tunable combination of both behaviors, which has been experimentally proven to outperform each individual behavior when appropriate values are given to the α parameter [16]. Two extreme cases may be pointed out: if α = 0 the algorithm behaves like the classic β 0 -compact sets algorithm; whereas for α ≥ β maxβ 0 , where β max is the maximum similarity value in the collection, the algorithm behaves like the classic β 0 -connected components algorithm.…”
Section: Methodsmentioning
confidence: 99%
“…A parallel effort has been devoted to designing and developing incremental clustering algorithms which are able to process new data as they are added to the collection. In particular, incremental clustering algorithms (e.g., [6], [5], [7]) are able to update the clustering structure after insertion and/or deletion of new objects. Among the previous approaches, the aim of the work presented in [7] is to identify clusters of objects characterized only by categorical (i.e., not numerical) features.…”
Section: Related Workmentioning
confidence: 99%
“…In particular, incremental clustering algorithms (e.g., [6], [5], [7]) are able to update the clustering structure after insertion and/or deletion of new objects. Among the previous approaches, the aim of the work presented in [7] is to identify clusters of objects characterized only by categorical (i.e., not numerical) features. Thus, this approach cannot be exploited to analyze traffic network data.…”
Section: Related Workmentioning
confidence: 99%