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arXiv · 2509.19565

Peeling metric spaces of strict negative type

Steve Huntsman
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Abstract

We describe a unified and computationally tractable framework for finding outliers in, and maximum-diversity subsets of, finite metric spaces of strict negative type. Examples of such spaces include finite subsets of Euclidean space and finite subsets of a sphere without antipodal points. The latter accounts for state-of-the-art text embeddings, and we apply our framework in this context to sketch a hallucination mitigation strategy and separately to a class of path diversity optimization problems with a real-world example.

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Steve Huntsman. 2025-09-23. Peeling metric spaces of strict negative type. https://arxiv.org/abs/2509.19565

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