Naotoshi Nakamura

Exact Selective Inference for Spectral Clustering via Piecewise-Constant Graph Perturbation

Cluster labels are often used twice: first to discover groups, and then to test whether the discovered groups differ. This double use of the data makes ordinary two-sample $p$-values anti-conservative. Selective inference fixes this by conditioning on the clustering event, but for spectral clustering the event appears...