Cluster Forests
With inspiration from Random Forests (RF) in the context of classification, a new clustering ensemble methodCluster Forests (CF) is proposed. Geometrically, CF randomly probes a high-dimensional data cloud to obtain good local clusterings and then aggregates via spectral clustering to obtain cluster assignments for the whole dataset. The search for good local clusterings is guided by a cluster quality measure kappa. CF progressively improves each local clustering in a fashion that resembles the tree growth in RF. Empirical studies on several real-world datasets under two different performance metrics show that CF compares favorably to its competitors. Theoretical analysis reveals that the kappa measure makes it possible to grow the local clustering in a desirable wayit is noise-resistant. A closed-form expression is obtained for the mis-clustering rate of spectral clustering under a perturbation model, which yields new insights into some aspects of spectral clustering.
cluster ensemble spectral clustering high dimensional data analysis feature selection stochastic block model