<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2023-20-4-10-26</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-860</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>КОМПЬЮТЕРНЫЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>COMPUTER SCIENCE</subject></subj-group></article-categories><title-group><article-title>ОТ СЛОВ К ПАРАГРАФАМ: МОДЕЛИРОВАНИЕ ДИНАМИКИ НАСТРОЕНИЙ В «ЗАПИСКАХ ИЗ ПОДПОЛЬЯ» С ПОМОЩЬЮ GPT-4 ЧЕРЕЗ ОПИСАТЕЛЬНЫЕ МЕТОДЫ И ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ</article-title><trans-title-group xml:lang="en"><trans-title>From words to paragraphs: modeling sentiment dynamics in ‘notes from underground’ with GPT-4 via descriptive methods and differential equations</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0692-0265</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дюран</surname><given-names>В.</given-names></name><name name-style="western" xml:lang="en"><surname>Duran</surname><given-names>V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>факультет психологии</p><p>76000, г. Ыгдыр</p></bio><bio xml:lang="en"><p>Psychology Department</p><p>76000, Iğdır</p></bio><email xlink:type="simple">volkan.duran8@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9886-244X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хазар</surname><given-names>Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Hazar</surname><given-names>E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Математический факультет</p><p>76000, г. Ыгдыр</p></bio><bio xml:lang="en"><p>Mathematics Department</p><p>76000, Iğdır</p></bio><email xlink:type="simple">elman.hazar@igdir.edu.tr</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3221-9352</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ахметов</surname><given-names>И.</given-names></name><name name-style="western" xml:lang="en"><surname>Akhmetov</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>050000, г. Алматы, ул. Курмангазы, 29</p></bio><bio xml:lang="en"><p>29 Kurmangazy St., Almaty, 050000</p></bio><email xlink:type="simple">i.akhmetov@kbtu.kz</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8685-9355</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пак</surname><given-names>А.</given-names></name><name name-style="western" xml:lang="en"><surname>Pak</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>050000, г. Алматы, ул. Курмангазы, 29</p></bio><bio xml:lang="en"><p>29 Kurmangazy St., Almaty, 050000</p></bio><email xlink:type="simple">a.pak@kbtu.kz</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Университет Ыгдыр<country>Турция</country></aff><aff xml:lang="en">Iğdır University<country>Turkey</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Институт информационных и вычислительных технологий (ИИВТ)<country>Казахстан</country></aff><aff xml:lang="en">Institute of Information and Computational Technologies (IICT)<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>20</day><month>12</month><year>2023</year></pub-date><volume>20</volume><issue>4</issue><fpage>10</fpage><lpage>26</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Дюран В., Хазар Э., Ахметов И., Пак А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Дюран В., Хазар Э., Ахметов И., Пак А.</copyright-holder><copyright-holder xml:lang="en">Duran V., Hazar E., Akhmetov I., Pak A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestnik.kbtu.edu.kz/jour/article/view/860">https://vestnik.kbtu.edu.kz/jour/article/view/860</self-uri><abstract><p>В данном исследовании рассматривается, как изменяются значения настроения в первой части книги «Записки из подполья» Федора Достоевского, озаглавленной как «Подполье», от слов к предложениям и абзацам. Используя языковую модель GPT-4, мы провели описательный анализ стандартизированных значений настроения и рассчитали кумулятивные траектории настроения по тексту. Затем мы создали модели дифференциальных уравнений для моделирования оттенков настроения с помощью регрессионного анализа. Полученные нами результаты свидетельствуют о том, что от слов к абзацам настроение становится менее негативным, что указывает на то, что контекст регулирует негативность. Настроение абзацев также было более стабильным и отличалось меньшей вариативностью. Наблюдалась дуга повествования с первоначальным снижением, за которым следовал подъем настроения. Абзацы имели самые высокие исходные настроения, что говорит о том, что они способны отражать более тонкий контекст. Абзацы быстро теряли краткосрочное настроение, но дольше всего сохраняли долгосрочное настроение, что согласуется с тем, что абзацы сохраняют общее настроение текста с течением времени. Полученные результаты позволяют предположить, что существует сложная динамика между языковыми единицами, способствующая ощутимой стабильности настроения. Количественные показатели распада являются полезными индикаторами, но не в полной мере характеризуют стабильность настроения.</p></abstract><trans-abstract xml:lang="en"><p>This study examines how the sentiment values in the first part of the book entitled as “Underground” of Fyodor Dostoevsky’s “Notes from Underground” change from words to sentences to paragraphs. Using the GPT-4 language model, we conducted a descriptive analysis of standardized sentiment values and calculated cumulative sentiment trajectories over the text. We then created differential equation models to model the sentiment tones using regression analysis. Our findings suggest that sentiment becomes less negative from words to paragraphs, indicating that context moderates negativity. Paragraph sentiment was also more stable with lower variability. There was a narrative arc of initial decline followed by an upward turn in sentiment. Paragraphs had the highest baseline sentiment, suggesting that they are able to capture more nuanced context. Paragraphs lost short-term sentiment quickly but retained longterm sentiment longest, aligning with paragraphs maintaining overall text sentiment over time. These findings suggest that there are complex dynamics between linguistic units contributing to perceived stability of sentiment. Quantitative decay rates are useful indicators but do not fully characterize sentiment stability.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>анализ настроений</kwd><kwd>дифференциальные уравнения</kwd><kwd>GPT-4</kwd><kwd>аппроксимация кривой</kwd><kwd>иерархический регрессионный анализ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Sentiment analysis</kwd><kwd>differential equations</kwd><kwd>GPT-4</kwd><kwd>curve fitting</kwd><kwd>hierarchical regression analysis</kwd></kwd-group><funding-group xml:lang="en"><funding-statement>This research is conducted within the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan under the grant number AP09260670 “Development of methods and algorithms for augmentation of input data for modifying vector embeddings of words”.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Misuraca M., Forciniti A., Scepi G., Spano M. (2020) Sentiment Analysis for Education with R: packages, methods and practical applications. arXiv:2005,12840.</mixed-citation><mixed-citation xml:lang="en">Misuraca M., Forciniti A., Scepi G., Spano M. (2020) Sentiment Analysis for Education with R: packages, methods and practical applications. arXiv:2005,12840.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Dietz-Uhler B. &amp; Hurn E.J. (2013) Using learning analytics to predict (and improve) student success: A faculty perspective. Journal of Interactive Online Learning, 12, pp. 17–26.</mixed-citation><mixed-citation xml:lang="en">Dietz-Uhler B. &amp; Hurn E.J. (2013) Using learning analytics to predict (and improve) student success: A faculty perspective. Journal of Interactive Online Learning, 12, pp. 17–26.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Liu B. (2012) Sentiment Analysis and Opinion Mining. https://www.cs.uic.edu/~liub/FBS/SentimentAnalysis-and-OpinionMining.pdf.</mixed-citation><mixed-citation xml:lang="en">Liu B. (2012) Sentiment Analysis and Opinion Mining. https://www.cs.uic.edu/~liub/FBS/SentimentAnalysis-and-OpinionMining.pdf.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Wankhade M., Rao A.C.S. &amp; Kulkarni C. (2022) A survey on sentiment analysis methods, applications, and challenges. Artif Intell Rev 55, pp. 5731–5780. https://doi.org/10.1007/s10462-022-10144-1.</mixed-citation><mixed-citation xml:lang="en">Wankhade M., Rao A.C.S. &amp; Kulkarni C. (2022) A survey on sentiment analysis methods, applications, and challenges. Artif Intell Rev 55, pp. 5731–5780. https://doi.org/10.1007/s10462-022-10144-1.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Xing FZ, Cambria E., Welsch RE (2018) Natural language based financial forecasting: a survey. Artif Intell Rev 50(1), pp. 49–73.</mixed-citation><mixed-citation xml:lang="en">Xing FZ, Cambria E., Welsch RE (2018) Natural language based financial forecasting: a survey. Artif Intell Rev 50(1), pp. 49–73.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Collomb A., Costea C., Joyeux D., Hasan O., Brunie L. (2014) A Study and Comparison of Sentiment Analysis Methods for Reputation Evaluation. Rapport de Recherche RR-LIRIS-2014-002.</mixed-citation><mixed-citation xml:lang="en">Collomb A., Costea C., Joyeux D., Hasan O., Brunie L. (2014) A Study and Comparison of Sentiment Analysis Methods for Reputation Evaluation. Rapport de Recherche RR-LIRIS-2014-002.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Hemmatian F., Sohrabi MK (2019). A survey on classification techniques for opinion mining and sentiment analysis. Artif Intell Rev 52(3), pp. 1495–1545. https://doi.org/10.1007/s10462-017-9599-6.</mixed-citation><mixed-citation xml:lang="en">Hemmatian F., Sohrabi MK (2019). A survey on classification techniques for opinion mining and sentiment analysis. Artif Intell Rev 52(3), pp. 1495–1545. https://doi.org/10.1007/s10462-017-9599-6.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Pontiki M. et al. (2016) SemEval-2016 task 5: aspect based sentiment analysis. In: Proceedings of the 10th international workshop on semantic evaluation (SemEval-2016), Association for Computational Linguistics, San Diego, CA, pp. 19–30.</mixed-citation><mixed-citation xml:lang="en">Pontiki M. et al. (2016) SemEval-2016 task 5: aspect based sentiment analysis. In: Proceedings of the 10th international workshop on semantic evaluation (SemEval-2016), Association for Computational Linguistics, San Diego, CA, pp. 19–30.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Yadav A., Vishwakarma DK (2020) Sentiment analysis using deep learning architectures: a review. Artif Intell Rev 53(6), pp. 4335–4385.</mixed-citation><mixed-citation xml:lang="en">Yadav A., Vishwakarma DK (2020) Sentiment analysis using deep learning architectures: a review. Artif Intell Rev 53(6), pp. 4335–4385.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Do H.H., Prasad P., Maag A., Alsadoon A. (2019) Deep learning for aspect-based sentiment analysis: a comparative review. Expert Syst Appl 118, pp. 272–299.</mixed-citation><mixed-citation xml:lang="en">Do H.H., Prasad P., Maag A., Alsadoon A. (2019) Deep learning for aspect-based sentiment analysis: a comparative review. Expert Syst Appl 118, pp. 272–299.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang L., Wang S., Liu B. (2018) Deep learning for sentiment analysis: a survey. Wiley Interdiscip Rev 8(4), pp. e1253.</mixed-citation><mixed-citation xml:lang="en">Zhang L., Wang S., Liu B. (2018) Deep learning for sentiment analysis: a survey. Wiley Interdiscip Rev 8(4), pp. e1253.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Maglogiannis I. et al. (2020) A deep learning approach to aspect-based sentiment prediction. In: Artificial intelligence applications and innovations16th IFIP WG 125 international conference, AIAI 2020, Neos Marmaras, Greece, June 5–7, 2020. Proceedings, Part I 583, pp. 397–408.</mixed-citation><mixed-citation xml:lang="en">Maglogiannis I. et al. (2020) A deep learning approach to aspect-based sentiment prediction. In: Artificial intelligence applications and innovations16th IFIP WG 125 international conference, AIAI 2020, Neos Marmaras, Greece, June 5–7, 2020. Proceedings, Part I 583, pp. 397–408.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Meškelė D., Frasincar F. (2020) Aldonar: a hybrid solution for sentence-level aspect-based sentiment analysis using a lexicalized domain ontology and a regularized neural attention model. Inf Process Manag 57(3), pp. 102211. https://doi.org/10.1016/j.ipm.2020.102211.</mixed-citation><mixed-citation xml:lang="en">Meškelė D., Frasincar F. (2020) Aldonar: a hybrid solution for sentence-level aspect-based sentiment analysis using a lexicalized domain ontology and a regularized neural attention model. Inf Process Manag 57(3), pp. 102211. https://doi.org/10.1016/j.ipm.2020.102211.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Schouten K. &amp; Frasincar F. (2018) Ontology-driven sentiment analysis of product and service aspects. In 15th Extended Semantic Web Conference (ESWC 2018), LNCS, Springer International Publishing ,vol. 10360, pp. 608–623.</mixed-citation><mixed-citation xml:lang="en">Schouten K. &amp; Frasincar F. (2018) Ontology-driven sentiment analysis of product and service aspects. In 15th Extended Semantic Web Conference (ESWC 2018), LNCS, Springer International Publishing ,vol. 10360, pp. 608–623.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Birjali M., Kasri M., Beni-Hssane A. (2021) A comprehensive survey on sentiment analysis: approaches, challenges and trends. Knowl-Based Syst 226, pp. 107134.</mixed-citation><mixed-citation xml:lang="en">Birjali M., Kasri M., Beni-Hssane A. (2021) A comprehensive survey on sentiment analysis: approaches, challenges and trends. Knowl-Based Syst 226, pp. 107134.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Leippold, M. (2023) Sentiment spin: Attacking financial sentiment with GPT-3. Finance Research Letters. https://doi.org/10.1016/j.frl.2023.103957.</mixed-citation><mixed-citation xml:lang="en">Leippold, M. (2023) Sentiment spin: Attacking financial sentiment with GPT-3. Finance Research Letters. https://doi.org/10.1016/j.frl.2023.103957.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Fan, David P., Cook, R. Dennis (2003) A differential equation model for predicting public opinions and behaviors from persuasive information: Application to the index of consumer sentiment. The Journal of Mathematical Sociology, 27(1), pp. 29–51. doi:10.1080/00222500305886.</mixed-citation><mixed-citation xml:lang="en">Fan, David P., Cook, R. Dennis (2003) A differential equation model for predicting public opinions and behaviors from persuasive information: Application to the index of consumer sentiment. The Journal of Mathematical Sociology, 27(1), pp. 29–51. doi:10.1080/00222500305886.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Casillo M. et al. (2020) Chat-bot: a cultural heritage aware teller-bot for supporting touristic experiences. Pattern Recogn Lett 131, pp. 234–243. https://doi.org/10.1016/j.patrec.2020.01.003.</mixed-citation><mixed-citation xml:lang="en">Casillo M. et al. (2020) Chat-bot: a cultural heritage aware teller-bot for supporting touristic experiences. Pattern Recogn Lett 131, pp. 234–243. https://doi.org/10.1016/j.patrec.2020.01.003.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Chang M. et al. (2020) Building ontology-driven tutoring models for intelligent tutoring systems using data mining. IEEE Access 8, pp. 48151–48162. https://doi.org/10.1109/ACCESS.2020.2979281.</mixed-citation><mixed-citation xml:lang="en">Chang M. et al. (2020) Building ontology-driven tutoring models for intelligent tutoring systems using data mining. IEEE Access 8, pp. 48151–48162. https://doi.org/10.1109/ACCESS.2020.2979281.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Colace F. de Santo M., Greco L. (2014) Safe: a sentiment analysis framework for e-learning. Int J Emerg Technol Learn 9(6), pp. 37–41. https://doi.org/10.3991/ijet.v9i6.4110.</mixed-citation><mixed-citation xml:lang="en">Colace F. de Santo M., Greco L. (2014) Safe: a sentiment analysis framework for e-learning. Int J Emerg Technol Learn 9(6), pp. 37–41. https://doi.org/10.3991/ijet.v9i6.4110.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">D’Aniello G., Gaeta M. &amp; La Rocca I. (2022) KnowMIS-ABSA: an overview and a reference model for applications of sentiment analysis and aspect-based sentiment analysis. Artif Intell Rev 55, pp. 5543–5574. https://doi.org/10.1007/s10462-021-10134-9.</mixed-citation><mixed-citation xml:lang="en">D’Aniello G., Gaeta M. &amp; La Rocca I. (2022) KnowMIS-ABSA: an overview and a reference model for applications of sentiment analysis and aspect-based sentiment analysis. Artif Intell Rev 55, pp. 5543–5574. https://doi.org/10.1007/s10462-021-10134-9.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Chen Z., Liu Y. &amp; Sun H. (2021) Physics-informed learning of governing equations from scarce data. Nat Commun 12. https://doi.org/10.1038/s41467-021-26434-1.</mixed-citation><mixed-citation xml:lang="en">Chen Z., Liu Y. &amp; Sun H. (2021) Physics-informed learning of governing equations from scarce data. Nat Commun 12. https://doi.org/10.1038/s41467-021-26434-1.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Belsley D.A., Kuh E. &amp; Welsch R.E. (1980) Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. New York: Wiley.</mixed-citation><mixed-citation xml:lang="en">Belsley D.A., Kuh E. &amp; Welsch R.E. (1980) Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. New York: Wiley.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Alpar R. (2022) Uygulamalı İstatistik ve Geçerlik Güvenirlik. Ankara: Detay Yayıncılık.</mixed-citation><mixed-citation xml:lang="en">Alpar R. (2022) Uygulamalı İstatistik ve Geçerlik Güvenirlik. Ankara: Detay Yayıncılık.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Schmidt M.D. &amp; Lipson H. (2009) Distilling free-form natural laws from experimental data. Science 324, pp. 81–5.</mixed-citation><mixed-citation xml:lang="en">Schmidt M.D. &amp; Lipson H. (2009) Distilling free-form natural laws from experimental data. Science 324, pp. 81–5.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Xue L. &amp; Zou H. (2006) Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models. Journal of the American Statistical Association, 101(475), pp. 1570– 1583. https://doi.org/10.1198/016214506000000691.</mixed-citation><mixed-citation xml:lang="en">Xue L. &amp; Zou H. (2006) Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models. Journal of the American Statistical Association, 101(475), pp. 1570– 1583. https://doi.org/10.1198/016214506000000691.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
