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Unperturbed: spectral analysis beyond Davis-Kahan
Classical matrix perturbation results, such as Weyl's theorem for eigenvalues and the Davis-Kahan theorem for eigenvectors, are general purpose.
Graphons, mergeons, and so on!
In this work we develop a theory of hierarchical clustering for graphs.
Beyond Hartigan Consistency: Merge Distortion Metric for Hierarchical Clustering
In this paper we identify two limit properties, separation and minimality, which address both over-segmentation and improper nesting and together imply (but are not implied by) Hartigan consistency.
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