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On Hamming-Lipschitz Type Stability of the Subdominant (Minmax) Ultrametric: Theory and Simple Proofs
A theoretical paper introduces a new stability framework for the subdominant ultrametric — a tree-structured representation used in hierarchical clustering — by analyzing how sparse perturbations to dissimilarity matrices propagate through minimum spanning trees, yielding precise Hamming–Lipschitz bounds on ultrametric change.
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"New stability theory shows how small changes in data affect hierarchical clustering, enabling better vulnerability detection in AI embeddings."
arXiv Machine Learning
Aug 6, 2026