Fractal analysis and computational linguistics
a framework for understanding language
DOI :
https://doi.org/10.35305/an.vi6.42Mots-clés :
fractal analysis, computational linguistics, NooJ, finite-state technology, recursive transition networksRésumé
This research explores the convergence of fractal information theory and fractal geometry within computational linguistics. It also examines the application of the NooJ tool for structural analysis. The study posits that fractal analysis in computational linguistics offers a framework understand language as an intricate, self-similar, and dynamic system. Patterns recur at multiple scales, such as phrases within sentences and sentences within paragraphs. Fractal analysis uses methodologies to identify non-normal distributions and long-range dependencies textual data. NooJ leverages finite-state technology to parse large corpora and construct linguistic resources, such as lexicons and grammars. Although NooJ primarily functions as a finite-state machine, its ability to manage recursive graph structures, particularly recursive transition networks, makes it suitable for analyzing fractal structures
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Alabdulmohsin, I. & Steiner, A. (2025). A Tale of Two Structures: Do LLMs Capture the Fractal Complexity of Language. arXiv preprint arXiv:2502.14924. Available at: https://arxiv.org/abs/2502.14924v2.
Almeida, J. S., Russ, D. E., Vinga, S., Duarte, I., Mason, L., Bhawsar, P., ... & Balasubramanian, J. B. (2025). Fractal Language Modelling by Universal Sequence Maps (USM). arXiv preprint arXiv:2508.06641. Available at: https://arxiv.org/abs/2508.06641.
Boffo, N., & Lambert, P. (2021, June). Linguistics applied research and NLP: using NooJ in a technical-operational context. Case study, analysis, and perspectives. In the 15 th INTERNATIONAL CONFERENCE NOOJ 2021. Available at: https://hal.science/hal-03270741/.
Kretzschmar, W., & Coats, S. (2022). "Fractal visualization of corpus data." Varieng. Available at: https://oulurepo.oulu.fi/handle/10024/47060.
Liehr, L., & Massopust, P. (2020). On the mathematical validity of the Higuchi method. Physica D: Nonlinear Phenomena, 402, 132265. Available at: https://arxiv.org/pdf/1906.10558.
Makhija, Y., Agrawal, P., Saket, R., & Raghuveer, A. (2025, July). Fractal: Fine-grained scoring from aggregate text labels. In Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) (pp. 16810-16830). Available at: https://aclanthology.org/2025.acl-long.822/.
Pellis, S. (2025). The Golden Function in the Architecture of the Parthenon. Available at SSRN 5389569. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5389569. (PDF) The Golden Function in the Architecture of the Parthenon. Available at: https://www.researchgate.net/publication/394454868_The_Golden_Function_in_the_Architecture_of_the_Parthenon.
Ribeiro, L. C., Bernardes, A. T., & Mello, H. (2023). On the fractal patterns of language structures. Plos one, 18(5), e0285630. Available at: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0285630.
Shanon, B. (1993). Fractal patterns in language. New ideas in psychology, 11(1), 105-109. Available at: https://doi.org/10.1016/0732-118X(93)90023-7.
Silberztein, M., Váradi, T., & Tadić, M. (2012, December). Open-source multi-platform NooJ for NLP. In Proceedings of COLING 2012: Demonstration Papers (pp. 401-408). Available at: ACL Anthology.
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