This paper presents a complete mathematical model for the automatic extraction of phraseological units (idioms) from texts in Turkic languages, with a focus on Uzbek. The task is formulated as a binary classification problem and is solved by a three-stage pipeline. At the first stage, a set of idiom candidates is generated by a linguistic filter based on verb-headed grammatical templates. At the second stage, each candidate is mapped to a feature vector that combines statistical association (pointwise mutual information), syntactic fixedness (a flexibility index), semantic non-compositionality, and template-lexical indicators. At the third stage, a decision function is trained using four classification algorithms, namely Naive Bayes, logistic regression, support vector machines (SVM), and gradient boosting. The model was evaluated on a combined Uzbek corpus of 1.07 million lemma-tokens, supported by a phraseological ontology of 1,362 units and a manually annotated, stratified gold-standard set of 400 sentences. The best overall result was achieved by the SVM (????1 = 0.795; recall = 0.906), followed closely by gradient boosting (????1 = 0.791), whereas the lexical string-matching baseline proved nearly ineffective (????1 = 0.100) and ontology-based matching provided the highest precision (???? = 0.854). Stratified analysis showed that the main advantage of the model lies in recognizing morphologically transformed forms of idioms, where the learning-based model reached a recall of 0.919 against 0.041 for the lexical baseline. The role of each method within the processing pipeline and its most effective area of application are discussed.
| Mualliflar | Nazirova, E.Sh., Madetbaeva, N.B., Mirzaeva, F.Sh., Islomova, M.B., Назирова, Э.Ш., Мадетбаева, Н.Б., Мирзаева, Ф.Ш., Исломова, М.Б. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2026-09-15 |
| Son | 4 |
| Betlar | 152-170 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.71310/pcam.4_74.2026.10 |
| Indeksga qo‘shilgan | 2026-09-16 |
DOI: 10.71310/pcam.4_74.2026.10 · Maqolaning asl sahifasi
phraseological unit, idiom detection, binary classification, pointwise mutual information, syntactic fixedness, Uzbek language, фразеологизм, автоматическое выделение фразеологизмов, бинарная классификация, поточечная взаимная информация, синтаксическая устойчивость, узбекский язык
| APA | Nazirova, E.Sh., Madetbaeva, N.B., Mirzaeva, F.Sh., Islomova, M.B., Назирова, Э.Ш., Мадетбаева, Н.Б., Мирзаева, Ф.Ш., & Исломова, М.Б. (2026). A mathematical model for the automatic extraction of idioms in Turkic languages. Ҳисоблаш ва амалий математика муаммолари, (4), 152-170. https://doi.org/10.71310/pcam.4_74.2026.10 |
|---|---|
| GOST (OAK) | Nazirova, E.Sh. va b. A mathematical model for the automatic extraction of idioms in Turkic languages // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 4. – P. 152-170. – DOI: 10.71310/pcam.4_74.2026.10. |
| MLA | Nazirova, E.Sh., Madetbaeva, N.B., Mirzaeva, F.Sh., Islomova, M.B., Назирова, Э.Ш., Мадетбаева, Н.Б., Мирзаева, Ф.Ш., and Исломова, М.Б. “A mathematical model for the automatic extraction of idioms in Turkic languages.” Ҳисоблаш ва амалий математика муаммолари, (4), 152-170, 2026. https://doi.org/10.71310/pcam.4_74.2026.10 |
| Chicago | Nazirova, E.Sh., Madetbaeva, N.B., Mirzaeva, F.Sh., Islomova, M.B., Назирова, Э.Ш., Мадетбаева, Н.Б., Мирзаева, Ф.Ш., and Исломова, М.Б. “A mathematical model for the automatic extraction of idioms in Turkic languages.” Ҳисоблаш ва амалий математика муаммолари, (4), 152-170 (2026). https://doi.org/10.71310/pcam.4_74.2026.10 |
| Harvard | Nazirova, E.Sh., Madetbaeva, N.B., Mirzaeva, F.Sh., Islomova, M.B., Назирова, Э.Ш., Мадетбаева, Н.Б., Мирзаева, Ф.Ш., and Исломова, М.Б (2026) ‘A mathematical model for the automatic extraction of idioms in Turkic languages’, Ҳисоблаш ва амалий математика муаммолари, (4), 152-170. https://doi.org/10.71310/pcam.4_74.2026.10 |
| BibTeX | @article{nazirovaesh2026,
title = {A mathematical model for the automatic extraction of idioms in Turkic languages},
author = {Nazirova, E.Sh. and Madetbaeva, N.B. and Mirzaeva, F.Sh. and Islomova, M.B. and Назирова, Э.Ш. and Мадетбаева, Н.Б. and Мирзаева, Ф.Ш. and Исломова, М.Б.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {4},
pages = {152-170},
doi = {10.71310/pcam.4_74.2026.10},
url = {https://doi.org/10.71310/pcam.4_74.2026.10}
} |
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