By Markus Franke
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Extra resources for An update algorithm for restricted random walk clusters
Quite a few algorithms produce different results when the objects are presented in a different order. Because this contradicts the stability requirement for clusters, strategies for reordering data have been proposed in order to mitigate these effects, or criteria have been developed to determine the point at which a reclustering is necessary. The removal of objects is explicitly supported only by three algorithms, star clusters [APR97, APR98, APR99], document trees [WF00], and incremental DBSCAN [EKS+ 98].
E. as the minimum distance between p and one of the members of the respective cluster. Let Ci be the nearest cluster to p. Chaudhuri suggests that the distance of the object p to the closest cluster CHAPTER 2 29 member q0 ∈ Ci should approximately correspond to the average distance of q0 to its m closest neighbors in Ci where m is a predefined constant. 2. Merging of clusters: If, during the steps described for case 1, two clusters Ci and Cj have reduced their distance, the two are merged. 14) This case can only occur if at least one of the clusters has grown due to the absorption of one or several new objects and thus decreased its distance to some of the other clusters.
14) This case can only occur if at least one of the clusters has grown due to the absorption of one or several new objects and thus decreased its distance to some of the other clusters. The clusters are merged if their characteristics in the vicinity of p and q correspond. As a measure for the correspondence, the share of closest neighbors of p that come from Cj and vice versa is used. If it is close to 12 , Chaudhuri takes this as an indicator that the clusters’ characteristics correspond. 3. New cluster formation: For the decision whether leftover objects from step 1 should form a new cluster or be considered as outliers, Chaudhuri proposes the use of a minimum spanning tree that is constructed over the set of objects not assigned to a cluster.
An update algorithm for restricted random walk clusters by Markus Franke