<?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">nguphys</journal-id><journal-title-group><journal-title xml:lang="ru">Сибирский физический журнал</journal-title><trans-title-group xml:lang="en"><trans-title>SIBERIAN JOURNAL OF PHYSICS</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2541-9447</issn><publisher><publisher-name>Новосибирский государственный университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.25205/2541-9447-2018-13-3-101-109</article-id><article-id custom-type="elpub" pub-id-type="custom">nguphys-56</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>КОМБИНАЦИОННОЕ РАССЕЯНИЕ - 90 ЛЕТ ИССЛЕДОВАНИЙ</subject></subj-group></article-categories><title-group><article-title>РЕШЕНИЕ ОБРАТНЫХ ЗАДАЧ СПЕКТРОСКОПИИ КОМБИНАЦИОННОГО РАССЕЯНИЯ ВОДНЫХ РАСТВОРОВ СОЛЕЙ С ПРИМЕНЕНИЕМ ВЕЙВЛЕТ-НЕЙРОННЫХ СЕТЕЙ</article-title><trans-title-group xml:lang="en"><trans-title>SOLUTION OF INVERSE PROBLEMS OF RAMAN SPECTROSCOPY OF AQUEOUS SALT SOLUTIONS WITH THE APPLICATION OF WAVELET NEURAL NETWORKS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Буриков</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Burikov</surname><given-names>S. A.</given-names></name></name-alternatives><email xlink:type="simple">sergey.burikov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ефиторов</surname><given-names>А. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Efitorov</surname><given-names>A. O.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Доленко</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dolenko</surname><given-names>T. A.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Широкий</surname><given-names>В. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Shirokiy</surname><given-names>V. R.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Доленко</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dolenko</surname><given-names>S. A.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный университет им. М. В. Ломоносова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Lomonosov Moscow State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>26</day><month>10</month><year>2020</year></pub-date><volume>13</volume><issue>3</issue><fpage>101</fpage><lpage>109</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Буриков С.А., Ефиторов А.О., Доленко Т.А., Широкий В.Р., Доленко С.А., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Буриков С.А., Ефиторов А.О., Доленко Т.А., Широкий В.Р., Доленко С.А.</copyright-holder><copyright-holder xml:lang="en">Burikov S.A., Efitorov A.O., Dolenko T.A., Shirokiy V.R., Dolenko S.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://nguphys.elpub.ru/jour/article/view/56">https://nguphys.elpub.ru/jour/article/view/56</self-uri><abstract><p>Представлены результаты решения задачи по определению солевого состава многокомпонентных водных растворов по их спектрам комбинационного рассеяния света с использованием искусственных нейронных сетей и метода проекций на латентные структуры. Сравниваются три метода извлечения признаков из спектральных кривых: агрегация каналов, дискретное и непрерывное вейвлет-преобразования. Показано, что для нейросетевого решения обратной задачи определения солевого состава наилучшие результаты обеспечивает непрерывное вейвлет-преобразование входных данных.</p></abstract><trans-abstract xml:lang="en"><p>This paper presents the results of solving the problem of determining the salt composition of multicomponent aqueous solutions by their Raman spectra using artificial neural networks and the method of projections on latent structures. Three methods of input feature transformation are considered: aggregation of adjacent spectral channels, discrete and continuous wavelet transforms. It is shown that all of them can reduce both the dimension of the input data and the error of determination of the salt concentrations in the problem under consideration. The most effective method for the solution of the considered problem was a continuous wavelet transform. The multilayer perceptron trained on the transformed by this method input features provided the average error of determination of concentration for all 5 salts 0.023 M that is 38 % less than the error obtained by artificial neural network used without data compression. Thus, Raman spectroscopy combined with the use of artificial neural networks trained on transformed input features demonstrated high efficiency in solving the problem of identification and determination of concentrations of 5 inorganic salts dissolved in water.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>спектроскопия комбинационного рассеяния</kwd><kwd>водные растворы солей</kwd><kwd>проекции на латентные структуры</kwd><kwd>искусственные нейронные сети</kwd><kwd>вейвлет-анализ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Raman spectroscopy</kwd><kwd>aqueous solutions of salts</kwd><kwd>projections on latent structures</kwd><kwd>artificial neural networks</kwd><kwd>wavelet analysis</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Шевцов М. Н. Водно-экологические проблемы и использование водных ресурсов. Хабаровск: Изд-во Тихоокеан. гос. ун-та, 2015. 197 с. ISBN 978-5-7389-1817-9.</mixed-citation><mixed-citation xml:lang="en">Шевцов М. Н. Водно-экологические проблемы и использование водных ресурсов. Хабаровск: Изд-во Тихоокеан. гос. ун-та, 2015. 197 с. ISBN 978-5-7389-1817-9.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Andersson M., Edner H., Johansson J., Svanberg S., Wallinder E., Weibring P. Remote sensing of the environment using laser radar techniques // Atomic Physics Methods in Modern Research. 1997. Vol. 499. P. 257-269. Springer. DOI: 10.1007/BFb0104329.</mixed-citation><mixed-citation xml:lang="en">Andersson M., Edner H., Johansson J., Svanberg S., Wallinder E., Weibring P. Remote sensing of the environment using laser radar techniques // Atomic Physics Methods in Modern Research. 1997. Vol. 499. P. 257-269. Springer. DOI: 10.1007/BFb0104329.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Harsdorf S., Janssen M., Reuter R., Toeneboen S., Wachowicz B., Willkomm R. Submarine lidar for seafloor inspection // Meas Sci Tech. 1999. Vol. 10. No. 12. P. 1178-1184.</mixed-citation><mixed-citation xml:lang="en">Harsdorf S., Janssen M., Reuter R., Toeneboen S., Wachowicz B., Willkomm R. Submarine lidar for seafloor inspection // Meas Sci Tech. 1999. Vol. 10. No. 12. P. 1178-1184.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Dolenko T. A., Churina I. V., Fadeev V. V., Glushkov S. M. Valence band of liquid water Raman scattering: some peculiarities and applications in the diagnostics of water media // J. Raman Spectroscopy. 2000. Vol. 31. P. 863- 870.</mixed-citation><mixed-citation xml:lang="en">Dolenko T. A., Churina I. V., Fadeev V. V., Glushkov S. M. Valence band of liquid water Raman scattering: some peculiarities and applications in the diagnostics of water media // J. Raman Spectroscopy. 2000. Vol. 31. P. 863- 870.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Kauffmann T. H., Fontana M. D. Inorganic salts diluted in water probed by Raman spectrometry: Data processing and performance evaluation // Sensors and Actuators B. 2015. Vol. 209. P. 154-161.</mixed-citation><mixed-citation xml:lang="en">Kauffmann T. H., Fontana M. D. Inorganic salts diluted in water probed by Raman spectrometry: Data processing and performance evaluation // Sensors and Actuators B. 2015. Vol. 209. P. 154-161.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Rudolph W. W., Irmer G. Raman and Infrared Spectroscopic Investigation on Aqueous Alkali Metal Phosphate Solutions and Density Functional Theory Calculations of Phosphate-Water Clusters // Appl. Spectroscopy. 2007. Vol. 61. No. 12. P. 274A-292A.</mixed-citation><mixed-citation xml:lang="en">Rudolph W. W., Irmer G. Raman and Infrared Spectroscopic Investigation on Aqueous Alkali Metal Phosphate Solutions and Density Functional Theory Calculations of Phosphate-Water Clusters // Appl. Spectroscopy. 2007. Vol. 61. No. 12. P. 274A-292A.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Rull F., De Saja J. A. Effect of electrolyte concentration on the Raman spectra of water in aqueous solutions // J. Raman Spectroscopy. 1986. Vol. 17. No. 2. P. 167-172.</mixed-citation><mixed-citation xml:lang="en">Rull F., De Saja J. A. Effect of electrolyte concentration on the Raman spectra of water in aqueous solutions // J. Raman Spectroscopy. 1986. Vol. 17. No. 2. P. 167-172.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Sadate S., Kassu A., Farley C. W., Sharma A., Hardisty J., Lifson Miles T. K. Standoff Raman measurement of nitrates in water // Proc. SPIE Remote Sensing and Modeling of Ecosystems for Sustainability VIII. 2011. P. 81560D-1-6.</mixed-citation><mixed-citation xml:lang="en">Sadate S., Kassu A., Farley C. W., Sharma A., Hardisty J., Lifson Miles T. K. Standoff Raman measurement of nitrates in water // Proc. SPIE Remote Sensing and Modeling of Ecosystems for Sustainability VIII. 2011. P. 81560D-1-6.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Somekawa T., Tani A., Fujita M. Remote Detection and Identification of CO2 Dissolved in Water Using a Raman Lidar System // Applied Physics Express. 2011. Vol. 4. P. 1124011-3.</mixed-citation><mixed-citation xml:lang="en">Somekawa T., Tani A., Fujita M. Remote Detection and Identification of CO2 Dissolved in Water Using a Raman Lidar System // Applied Physics Express. 2011. Vol. 4. P. 1124011-3.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Mernagh T. P., Wilde A. R. The use of the laser Raman microprobe for the determination of salinity in fluid inclusions // Geochimica et Cosmochimica Acta. 1989. Vol. 53. P. 765- 771.</mixed-citation><mixed-citation xml:lang="en">Mernagh T. P., Wilde A. R. The use of the laser Raman microprobe for the determination of salinity in fluid inclusions // Geochimica et Cosmochimica Acta. 1989. Vol. 53. P. 765- 771.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Burikov S. A., Dolenko S. A., Dolenko T. A., Persiantsev I. G. Application of Artificial Neural Networks to Solve Problems of Identification and Determination of Concentration of Salts in Multi-Component Water Solutions by Raman Spectra // Optical Memory and Neural Networks (Information Optics). 2010. Vol. 19. No. 2. P. 140-148.</mixed-citation><mixed-citation xml:lang="en">Burikov S. A., Dolenko S. A., Dolenko T. A., Persiantsev I. G. Application of Artificial Neural Networks to Solve Problems of Identification and Determination of Concentration of Salts in Multi-Component Water Solutions by Raman Spectra // Optical Memory and Neural Networks (Information Optics). 2010. Vol. 19. No. 2. P. 140-148.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Efitorov A., Burikov S., Dolenko T., Laptinskiy K., Dolenko S. Significant Feature Selection in Neural Network Solution of an Inverse Problem in Spectroscopy // Procedia Computer Science. 2015. Vol. 66. P. 93-102.</mixed-citation><mixed-citation xml:lang="en">Efitorov A., Burikov S., Dolenko T., Laptinskiy K., Dolenko S. Significant Feature Selection in Neural Network Solution of an Inverse Problem in Spectroscopy // Procedia Computer Science. 2015. Vol. 66. P. 93-102.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Haykin S. S. Neural networks and learning machines. 3rd ed. Upper Saddle River. NJ. USA: Pearson, 2009.</mixed-citation><mixed-citation xml:lang="en">Haykin S. S. Neural networks and learning machines. 3rd ed. Upper Saddle River. NJ. USA: Pearson, 2009.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Esbensen K. H. Multivariate Data Analysis // Practice, an Introduction to Multivariate Data Analysis and Experimental Design. 5th ed., CAMO Software AS. 2006, 599 p.</mixed-citation><mixed-citation xml:lang="en">Esbensen K. H. Multivariate Data Analysis // Practice, an Introduction to Multivariate Data Analysis and Experimental Design. 5th ed., CAMO Software AS. 2006, 599 p.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Rumondor A. C., Taylor L. S. Application of partial least-squares (PLS) modeling in quantifying drug crystallinity in amorphous solid dispersions // Int. J. Pharm. 2010. Vol. 398. Is. 1-2. P. 155-160.</mixed-citation><mixed-citation xml:lang="en">Rumondor A. C., Taylor L. S. Application of partial least-squares (PLS) modeling in quantifying drug crystallinity in amorphous solid dispersions // Int. J. Pharm. 2010. Vol. 398. Is. 1-2. P. 155-160.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Gushchin K. A., Burikov S. A., Dolen- ko T. A., Persiantsev I. G., Dolenko S. A. Data dimensionality reduction and evaluation of clusterization quality in the problems of analysis of composition of multi-component solutions // Optical Memory and Neural Networks. 2015. Vol. 24. Is. 3. P. 218-224.</mixed-citation><mixed-citation xml:lang="en">Gushchin K. A., Burikov S. A., Dolen- ko T. A., Persiantsev I. G., Dolenko S. A. Data dimensionality reduction and evaluation of clusterization quality in the problems of analysis of composition of multi-component solutions // Optical Memory and Neural Networks. 2015. Vol. 24. Is. 3. P. 218-224.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Kamruzzaman S. M., Ahmed Ryadh Hasan. Pattern Classification using Simplified Neural Networks. arXiv:1009.4983v1 [cs.NE]</mixed-citation><mixed-citation xml:lang="en">Kamruzzaman S. M., Ahmed Ryadh Hasan. Pattern Classification using Simplified Neural Networks. arXiv:1009.4983v1 [cs.NE]</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Peng H., Ding C., Long F. Minimum redundancy maximum relevance feature selection // IEEE Intelligent Systems. 2005. Vol. 20. No. 6. P. 70-71</mixed-citation><mixed-citation xml:lang="en">Peng H., Ding C., Long F. Minimum redundancy maximum relevance feature selection // IEEE Intelligent Systems. 2005. Vol. 20. No. 6. P. 70-71</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Dolenko S., Burikov S., Dolenko T., Efitorov A., Gushchin K., Persiantsev I. Neural Network Approaches to Solution of the Inverse Problem of Identification and Determination of Partial Concentrations of Salts in Multiсomponent Water Solutions // Lecture Notes in Computer Science. 2014. Vol. 8681. P. 805-</mixed-citation><mixed-citation xml:lang="en">Dolenko S., Burikov S., Dolenko T., Efitorov A., Gushchin K., Persiantsev I. Neural Network Approaches to Solution of the Inverse Problem of Identification and Determination of Partial Concentrations of Salts in Multiсomponent Water Solutions // Lecture Notes in Computer Science. 2014. Vol. 8681. P. 805-</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Efitorov A., Dolenko T., Burikov S., Laptinskiy K., Dolenko S. Solution of an Inverse Problem in Raman Spectroscopy of Multi-component Solutions of Inorganic Salts by Artificial Neural Networks // Lecture Notes in Computer Science. 2016. Vol. 9887. P. 355</mixed-citation><mixed-citation xml:lang="en">Efitorov A., Dolenko T., Burikov S., Laptinskiy K., Dolenko S. Solution of an Inverse Problem in Raman Spectroscopy of Multi-component Solutions of Inorganic Salts by Artificial Neural Networks // Lecture Notes in Computer Science. 2016. Vol. 9887. P. 355</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Strang G., Nguyen T. Wavelets and filter banks. 2nd ed. Wellesley-Cambridge Press, 1996. 520 p.</mixed-citation><mixed-citation xml:lang="en">Strang G., Nguyen T. Wavelets and filter banks. 2nd ed. Wellesley-Cambridge Press, 1996. 520 p.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Mallat S. G. A theory for multiresolution signal decomposition: the wavelet representation // IEEE Transactions on Pattern Recognition and Machine Intelligence. 1989. Vol. 11. No. 7. P. 674-693.</mixed-citation><mixed-citation xml:lang="en">Mallat S. G. A theory for multiresolution signal decomposition: the wavelet representation // IEEE Transactions on Pattern Recognition and Machine Intelligence. 1989. Vol. 11. No. 7. P. 674-693.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Daubechies I. Orthonormal bases of compactly supported wavelets // Comm. Pure &amp; Appl. Math. 1988. Vol. 41. No. 7. P. 909- 996.</mixed-citation><mixed-citation xml:lang="en">Daubechies I. Orthonormal bases of compactly supported wavelets // Comm. Pure &amp; Appl. Math. 1988. Vol. 41. No. 7. P. 909- 996.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Jean-Philippe Lachaux, Antoine Lutz, David Rudrauf, Diego Cosmelli, Michel Le Van Quyen, Jacques Martinerie, Francisco Varela. Estimating the time-course of coherence between single-trial brain signals: an introduction to wavelet coherence // Neurophysiol Clin. Elsevier. 2002. Vol. 32. P. 157-174.</mixed-citation><mixed-citation xml:lang="en">Jean-Philippe Lachaux, Antoine Lutz, David Rudrauf, Diego Cosmelli, Michel Le Van Quyen, Jacques Martinerie, Francisco Varela. Estimating the time-course of coherence between single-trial brain signals: an introduction to wavelet coherence // Neurophysiol Clin. Elsevier. 2002. Vol. 32. P. 157-174.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Daubechies I. Ten Lectures on Wavelets // SIAM. 1992. 356 p.</mixed-citation><mixed-citation xml:lang="en">Daubechies I. Ten Lectures on Wavelets // SIAM. 1992. 356 p.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Efitorov A., Dolenko T., Burikov S., Laptinskiy K., Dolenko S. Neural Network Solution of an Inverse Problem in Raman Spectroscopy of Multi-component Solutions of Inorganic Salts // Advances in Intelligent Systems and Computing. 2016. Vol. 449. P. 273-279.</mixed-citation><mixed-citation xml:lang="en">Efitorov A., Dolenko T., Burikov S., Laptinskiy K., Dolenko S. Neural Network Solution of an Inverse Problem in Raman Spectroscopy of Multi-component Solutions of Inorganic Salts // Advances in Intelligent Systems and Computing. 2016. Vol. 449. P. 273-279.</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>
