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[ARTICLE · art-50464] src=arxiv.org ↗ pub= topic=machine-learning verified=true sentiment=↑ positive

Text Distance from Nested and Hierarchical Repetitions: A Compression-Based Perspective

Researchers introduced a new method for structural sequence analysis based on Algorithmic Information Theory, using the Ladderpath approach to extract nested and hierarchical repetitions. The method defines three distance measures that, combined with a k-nearest neighbor classifier, outperform gzip-based NCD and BERT in out-of-distribution and few-shot text classification tasks. This work offers a lightweight, interpretable, and training-free alternative for text modeling.

read1 min views1 publishedJul 8, 2026

arXiv:2607.05416v1 Announce Type: new Abstract: We present a new method for structural sequence analysis grounded in Algorithmic Information Theory (AIT). At its core is the Ladderpath approach, which extracts nested and hierarchical relationships among repeated substructures in linguistic sequences -- an instantiation of AIT's principle of describing data through minimal generative programs. These structures are then used to define three distance measures: a normalized compression distance (NCD), and two alternative distances derived directly from the Ladderpath representation. Integrated with a $k$-nearest neighbor classifier, these distances achieve strong and consistent performance across in-distribution, out-of-distribution (OOD), and few-shot text classification tasks. In particular, all three methods outperform both gzip-based NCD and BERT under OOD and low-resource settings. These results demonstrate that the structured representations captured by Ladderpath preserve intrinsic properties of sequences and provide a lightweight, interpretable, and training-free alternative for text modeling. This work highlights the potential of AIT-based approaches for structural and domain-agnostic sequence understanding.

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