# A weighted angle distance on strings

arXiv: https://arxiv.org/abs/2604.20633 · HTML: https://mlsanity.com/paper/2604.20633/

## Key facts

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- First posted on arXiv 22 Apr 2026.

## Abstract (arXiv)

We define a multi-scale metric dρ on strings by aggregating angle distances between all n-gram count vectors with exponential weights ρn. We benchmark dρ in DBSCAN clustering against edit and n-gram baselines, give a linear-time suffix-tree algorithm for evaluation, prove metric and stability properties (including robustness under tandem-repeat stutters), and characterize isometries.