Graph Max Shift: A Hill-Climbing Method for Graph Clustering

Code

• github.com/lizzycoda/GraphMaxShift
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Abstract

We present a method for graph clustering that is analogous with gradient ascent methods previously proposed for clustering points in space. We show that, when applied to a random geometric graph with data iid from some density with Morse regularity, the method is asymptotically consistent. Here, consistency is understood with respect to a density-level clustering defined by the partition of the support of the density induced by the basins of attraction of the density modes.

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Reproductions