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This research proposes novel mathematical metrics for authorship attribution, specifically generalizing classical Delta methods through probabilistic distributions and token-level decomposition. By validating these approaches across multiple literary corpora, the study offers interpretable tools for digital scholarship that enhance the robustness of stylometric analysis against temporal and stylistic variations.
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Rank-Turbulence Delta and Interpretable Approaches to Stylometric Delta Metrics

arXiv2 min read

arXiv:2604.19499v5 Announce Type: replace Abstract: This article introduces two new measures for authorship attribution - Rank-Turbulence Delta and Jensen-Shannon Delta - which generalise Burrows's classical Delta by applying distance functions designed for probabilistic distributions. We first set out the theoretical basis of the measures, contrasting centred and uncentred z-scoring of word-frequency vectors and re-casting the uncentred vectors as probability distributions. Building on this representation, we develop a token-level decomposition that renders every Delta distance numerically interpretable, thereby facilitating close reading and the validation of results. The effectiveness of the methods is assessed on four literary corpora in English, German, French and Russian. The English, German and French datasets are compiled from Project Gutenberg, whereas the Russian benchmark is the SOCIOLIT corpus containing 639 works by 89 authors spanning the eighteenth to the twenty-first centuries. Rank-Turbulence Delta attains attribution accuracy comparable with Cosine Delta; Jensen-Shannon Delta consistently matches or exceeds the performance of canonical Burrows's Delta. Finally, several established attribution algorithms are re-evaluated on the extended SOCIOLIT corpus, providing a realistic estimate of their robustness under pronounced temporal and stylistic variation.

Abstract:This article introduces two new measures for authorship attribution - Rank-Turbulence Delta and Jensen-Shannon Delta - which generalise Burrows's classical Delta by applying distance functions designed for probabilistic distributions. We first set out the theoretical basis of the measures, contrasting centred and uncentred z-scoring of word-frequency vectors and re-casting the uncentred vectors as probability distributions. Building on this representation, we develop a token-level decomposition that renders every Delta distance numerically interpretable, thereby facilitating close reading and the validation of results. The effectiveness of the methods is assessed on four literary corpora in English, German, French and Russian. The English, German and French datasets are compiled from Project Gutenberg, whereas the Russian benchmark is the SOCIOLIT corpus containing 639 works by 89 authors spanning the eighteenth to the twenty-first centuries. Rank-Turbulence Delta attains attribution accuracy comparable with Cosine Delta; Jensen-Shannon Delta consistently matches or exceeds the performance of canonical Burrows's Delta. Finally, several established attribution algorithms are re-evaluated on the extended SOCIOLIT corpus, providing a realistic estimate of their robustness under pronounced temporal and stylistic variation.

Published in Digital Scholarship in the Humanities. The version of record is available at this https URL Code available at: this https URL

Computation and Language (cs.CL)

arXiv:2604.19499 [cs.CL]

(or arXiv:2604.19499v5 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2604.19499 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1093/llc/fqag072 Focus to learn more DOI(s) linking to related resources

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Full text under the publisher's open licence · 301 words

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