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Fig. 3 | Applied Network Science

Fig. 3

From: Graph-based data clustering via multiscale community detection

Fig. 3

Graph-based unsupervised analysis using Markov Stability of a synthetic dataset with multiscale geometric structure. We generate a CkNN graph (k=7,δ=1.8) and scan across Markov time from 1 to 1000. Two significant scales corresponding to robust partitions are identified based on the zero blocks of the VI(t,t) matrix, the long plateaux in the number of communities, and the low values of VI(t). Note that with Markov Stability, there is a range of δ for the CkNN graph (k=7) that can reveal the multiscale structure of the data (see Fig. 5)

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