Научная статья на тему 'Using neural networks to identify the regional and varietal origin of Cabernet and Merlot dry red wines produced in Krasnodar region'

Using neural networks to identify the regional and varietal origin of Cabernet and Merlot dry red wines produced in Krasnodar region Текст научной статьи по специальности «Медицинские технологии»

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CABERNET AND MERLOT RED WINES / REGIONAL AND VARIETAL ORIGIN OF WINE / MULTI-ELEMENT ANALYSIS / NEURAL NETWORK TECHNOLOGIES / NEURAL NETWORK

Аннотация научной статьи по медицинским технологиям, автор научной работы — Temerdashev Zaual, Khalafyan Alexan, Kaunova Anastasiya, Abakumov Aleksey, Titarenko Viktoriya

This paper shows a possibility of establishing the authenticity and geographic origin of wines by neural networks based on multi-element analysis. The study used 144 samples of Cabernet and Merlot dry red wines produced in Krasnodar Region according to traditional technologies. The wines were provided by the producers or purchased in retail stores. The concentrations of 20 microand macroelements in red wines were determined by atomic emission spectroscopy with inductively coupled plasma. The analysis of average elemental contents showed a significant dependence of wine composition on the grape variety and place of origin, which enabled us to examine interrelations between the elements and think of a way to identify them by means of classification models. The software STATISTICA Neural Networks was used to assess a possibility of determining the grape variety and geographical origin. The neural networks constructed in the study contained five variables corresponding to the elements with statistically significant correlations between the names of the regions and the wine samples, namely Fe, Mg, Rb, Ti, and Na. These predictors were able to determine the grape variety and place of growth with a sufficiently high accuracy. In the test sample set, the accuracy reached 95.24% and 100% for variety and region identification, respectively. A software product was developed to automate the calculations based on the neural networks. The program can establish the grape variety from a minimal set of microelements, and then, based on the variety and the same set of microelements, determine its place of origin.

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Текст научной работы на тему «Using neural networks to identify the regional and varietal origin of Cabernet and Merlot dry red wines produced in Krasnodar region»

Using neural networks to identify the regional and varietal origin of Cabernet and Merlot dry red wines produced in Krasnodar region

Zaual A. Temerdashev* , Alexan A. Khalafyan , Anastasiya A. Kaunova, Aleksey G. Abakumov, Viktoriya O. Titarenko, and Vera A. Akin'shina

Kuban State University, Krasnodar, Russia

* e-mail: temza@kubsu.ru

Received June 20, 2018; Accepted in revised form September 20, 2018; Published June 08, 2019

Abstract: This paper shows a possibility of establishing the authenticity and geographic origin of wines by neural networks based on multi-element analysis. The study used 144 samples of Cabernet and Merlot dry red wines produced in Krasnodar Region according to traditional technologies. The wines were provided by the producers or purchased in retail stores. The concentrations of 20 micro- and macroelements in red wines were determined by atomic emission spectroscopy with inductively coupled plasma. The analysis of average elemental contents showed a significant dependence of wine composition on the grape variety and place of origin, which enabled us to examine interrelations between the elements and think of a way to identify them by means of classification models. The software STATISTICA Neural Networks was used to assess a possibility of determining the grape variety and geographical origin. The neural networks constructed in the study contained five variables corresponding to the elements with statistically significant correlations between the names of the regions and the wine samples, namely Fe, Mg, Rb, Ti, and Na. These predictors were able to determine the grape variety and place of growth with a sufficiently high accuracy. In the test sample set, the accuracy reached 95.24% and 100% for variety and region identification, respectively. A software product was developed to automate the calculations based on the neural networks. The program can establish the grape variety from a minimal set of microelements, and then, based on the variety and the same set of microelements, determine its place of origin.

Keywords: Cabernet and Merlot red wines, regional and varietal origin of wine, multi-element analysis, neural network technologies, Neural Network

Please cite this article in press as: Temerdashev Z.A., Khalafyan A.A., Kaunova A.A., et al. Using neural networks to identify the regional and varietal origin of Cabernet and Merlot dry red wines produced in Krasnodar region. Foods and Raw Materials, 2019, vol. 7, no. 1, pp. 124-130. DOI: http://doi.org/10.21603/2308-4057-2019-1-124-130.

Foods and Raw Materials, 2019, vol. 7, no. 1

E-ISSN 2310-9599 ISSN 2308-4057

Research Article Open Access

DOI: http://doi.org/10.21603/2308-4057-2019-1-124-130 Available online at http:jfrm.ru

INTRODUCTION

One of the most difficult tasks in analytical chemistry of wine is to identify its authenticity and geographical origin. Single quality assessment parameters are not sufficient to determine whether the product conforms to its labels. To establish the authenticity and geographical origin of wines, as well as changes occurring in case of their adulteration, analytical approaches are being developed that aim to determine the mineral and isotopic composition, study spectral characteristics, and identify phenolic and volatile compounds using various methods of analysis [1-2]. The identification of authenticity and origin criteria is based on obtaining a large amount of data and its processing by chemometric methods, which reveal hidden relations between the wine's components [1-9]. The combination of modern data analysis tools

with the capabilities of chemometric methods ensures higher accuracy in identifying the geographical origin of wines. The information on the elemental composition of wines can be used to both control the technological process and, in combination with chemometric data processing methods, establish the origin of wines [10, 11]. For example, wines produced in various regions of Europe differ quite markedly in the metal content [12], which makes it a good criterion for identifying their geographical origin (Table 1).

Natural variability of wine quality is determined by the grapes growing conditions, such as the climate, the microelement composition of the soil, the technology of growing grapes, the period of grape harvest, etc. The mineral composition of wines can be influenced by various factors (soil, climate, relief, etc.); therefore, for

Copyright © 2019, Chernukha et al. This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), allowing third parties to copy and redistribute the material in any medium or format and to remix, transform, and build upon the material for any purpose, even commercially, provided the original work is properly cited and states its license.

Temerdashev Z.A. et al. Foods and Raw Materials, 2019, vol. 7, no. 1, pp. 124-130 Table 1. The metal content of wines in different countries [12]

Element Element content, mg/dm3

Czech Republic France Germany Italy Spain

K 553-3056 265-426 480-1,860 - 338-2,032

Na 2.0-110 7.7-14.6 6-25 - 3.5-300

Ca 40-210 65-161 58-200 88-151 12-241

Mg 7.8-138 55-96 56-105 53-60 50-236

Al - 0.56-1.27 - - 0.57-14.3

Cu - n/d-0.48 0.02-0.71 - n/d-3.1

Fe 0.9-5.2 0.81-2.51 0.4-4.2 - 0.4-17.4

Mn 0.28-3.26 0.63-0.96 0.5-1.3 - 0.1-5.5

Rb 0.56-1.20 0.64-0.72 0.2-2.9 0.50-9.90 0.1-5.3

Sr 0.34-0.53 0.22-0.47 0.12-1.28 0.40-1.16 0.28-1.50

Zn - 0.44-0.74 0.3-1.5 - n/d-4.63

Ba 0.09-0.12 0.025-0.24 0.04-0.26 0.07-0.14 0.01-0.35

Cd - n/d-0.0002 - - n/d-0.019

Co n/d-0.018 0.004-0.011 0.004-0.005 0.003-0.006 n/d-0.040

Cr 0.032-0.037 0.030-0.057 0.022-0.078 0.023-0.034 0.025-0.029

Li 0.015-0.052 0.008-0.036 0.005-0.043 - 0.002-0.13

Ni - n/d-0.052 - - 0.005-0.079

Pb - 0.006-0.023 - - 0.001-0.043

V 0.020-0.054 0.06-0.23 0.01-0.14 - 0.026-0.043

*n/d - not detected

identification purposes, many researchers study those elements which are least dependent on external factors in a given geographical area [3-6, 8, 9, 13, 14]. For example, some authors [13] use Sr, Mn, Mg, Li, Co, Rb, B, Cs, Zn, Al, Ba, Si, Pb, and Ca.

The content of metals in wines is widely different: 10-1000 of macroelements (Ca, K, Na, and Mg), 0.1-10 mg/dm3 of minor elements (Al, Fe, Cu, Mn, Rb, Sr, and Zn), and 0.1-1000 ^g/dm3 of trace elements (Ba, Cd, Co, Cr, Li, Ni, Pb, V, etc.) [12]. Therefore, the problem of ascertaining the microelement "image" of grapes is of practical, as well as scientific, interest [14-18].

In cases when wines from different grape varieties have certain organoleptic similarities, for example, colour or astringent, sour taste, it is important to be able to identify the grape variety from the microelement composition of the wine [19]. In fact, the task comes down to establishing the grape variety and geographical origin based on the content of microelements in a sample of unblended wine.

The purpose of this work was to study a possibility of identifying the authenticity and geographical origin of red wines, namely Cabernet and Merlot varietal wines, based on multi-element analysis with STATISTICA Neural Network.

STUDY OBJECTS AND METHODS

The study used 144 samples of Cabernet (76) and Merlot (68) varietal dry wines produced from 2012 to 2015 by the main wineries in Krasnodar Region: ZAO Zaporozhskoye, OOO Kuban-Vino, OAO APF Fanago-ria, OOO APK Millstream Black Sea Wines, ZAO AF Kavkaz, ZAO Abrau-Durso, ZAO APK Gelendzhik, ZAO AF Myskhako, OOO Firma Somelye, OOO AF Sauk-Dere, and OOO Soyuz-Vino (Table 2). Theses

wineries are located in different geographic zones (subzones) of Krasnodar Region: the South-Piedmont zone, the Black Sea zone, the Anapa subzone, and the Taman subzone. The wines were provided by the manufacturers or purchased in retail stores.

The main vineyards of Krasnodar Region are located in five cultivation areas: Temryuk (the Taman Peninsula, the Taman subzone), Anapa (the Anapa subzone), the Black Sea zone (Gelendzhik and Novorossiysk), Krymsk (the South-Piedmont zone), and Novokubansk. The frequency distribution of Cabernet and Merlot samples by zone and variety is shown in Table 2

The elemental composition of the wine samples was established by atomic emission spectroscopy with inductively coupled plasma using iCAP-6000 (Thermo Scientific). The operating conditions of the spectrometer were optimised to detect 20 elements (Li, Na, Mg, Al, K, Ca, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Rb, Sr, Cd, Ba, and Pb). The most sensitive analytical lines were used for most of the metals, with the exception of Al, V, Ca, Mg, and Sr, for which alternative lines were chosen due to spectral overlays. For some macroelements, we needed to reduce the signal intensity. When optimising the conditions for element detection, we studied how the operating characteristics (generator power, argon flow rate) affected the analytical signal of elements in the model

Table 2. Wine sample frequencies by zone

Variety Two-entry table of frequencies by zone

Taman Anapa South-Pied- Black Total

subzone subzone mont zone Sea zone

Cabernet 28 17 13 18 76

Merlot 33 23 12 0 68

Total 61 40 25 18 144

and sample solutions. We also investigated the mutual influence of micro- and macroelements, as well as background components, of the samples prepared for analysis in the model solutions containing variable amounts of the elements. The quantification of metals was carried out by diluting the wine samples, taking into account the data obtained [5, 14-18, 20, 21].

The following reference standards were used to study the test samples: GSO 7780-2000 (Li), GSO 8062-94 (Na), GSO 7767-2000 (Mg), GSO 7854-2000 (Al), GSO (K), GSO 7772-2000 (Ca), GSO 7205-95 (Ti), GSO (Cr), GSO 8056-94 (Mn), GSO 8032-94 (Fe), GSO 7784-2000 (Co), GSO 7785-2000 (Ni), GSO 7836-2000 (Cu), GSO 8053-94 (Zn), GSO 7035-93 (Rb), GSO 7783-2000 (Sr), GSO 7874-2000 (Cd), GSO 7760-2000 (Ba), and GSO 7778- 2000 (Pb). All the reagents used in the work were of chemically pure (C.P.) grade.

The chemometric analysis was performed using STA-TISTICA Neural Networks [22].

RESULTS AND DISCUSSION

The analysis of average element contents (Tables 3, and 4) showed a significant dependence of wine composition on the grape variety and place of origin. For exaTable 3. Average elemental content and standard deviations (s.d.) in Cabernet samples from various geographical zones of Krasnodar Region, ^g/dm3

Element Cabernet

Anapa South-Piedmont Black Sea Taman

Al 761 668 1,074 777

s.d. 389 354 322 222

Ba 91 160 93 100

s.d. 32 69 46 29

Ca 60,042 54,707 59,864 65,516

s.d. 8,432 10,124 5,571 11,564

Cu 112 69 109 65

s.d. 128 36 43 31

Fe 8,098 3,398 4,188 3,657

s.d. 3,017 1,150 972 915

K 659,037 190,177 1064,056 983,958

s.d. 96,739 394,839 171,437 233,821

Li 19 13 25 28

s.d. 5 8 24 15

Mg 74,037 116,978 96,779 141,678

s.d. 12,846 21,053 27,030 59,802

Mn 956 1,585 1,096 1,338

s.d. 319 362 165 436

Na 21,434 31,760 35,268 33,699

s.d. 9,680 27,186 13,784 8,590

Ni 24 57 33 21

s.d. 10.3 65 31 9

Rb 514 977 817 1,515

s.d. 360 290 236 352

Sr 1,207 1,323 1,533 1,270

s.d. 207 504 720 284

Ti 7 31 16 8

s.d. 3 22 11 3

Zn 366 685 757 481

s.d. 140 222 151 144

mple, the samples from the Anapa subzone had a high content of Fe, those from the South-Piedmont zone were rich in Ba, Ti, and V, whereas the Taman wines were abundant in Na, Mg, and Rb. The Cabernet wines had significantly different contents of many elements. For example, the Cabernet samples from the South-Piedmont zone contained the lowest concentrations of Li, Na, Al, Ca, Fe, and Sr, while the Merlot samples from the same zone had the lowest content of Al, Ca, Fe, and Li. As a rule, standard deviations did not exceed half of the average values. This suggests a small variation in the concentrations of elements, which means that an average value is a relevant characteristic of metal content in wine. The exceptions are Cu, Li, Ni, Na, Rb, and Ti; however, standard deviations exceeded the averages only in three cases: Cu (Cabernet, Anapa subzone) and Ni (Cabernet and Merlot, South-Piedmont zone).

Previously, we applied traditional statistical methods of discriminant analysis and classification trees to construct probabilistic-statistical models that allowed us to identify the varietal and regional origin of the same group of red wines using multi-element analysis data [23]. This study looked at a possibility of determi-

Table 4. Average elemental content and standard deviations (s.d.) in Merlot samples from various geographical zones of Krasnodar Region, ^g/dm3

Element Merlot

Anapa South-Piedmont Taman

Al 1,063 926 1,307

s.d. 381 178 537

Ba 106 148 163

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s.d. 41 40 42

Ca 60,117 55,630 63,212

s.d. 5,280 582 8,701

Cu 53 62 47

s.d. 45 33 33

Fe 13,248 4,073 4,883

s.d. 4,214 606 1,661

K 728,426 1264,236 695,290

s.d. 74,086 369,588 106,987

Li 25 16 29

s.d. 14 7 11

Mg 71,221 114,459 158,520

s.d. 6,553 21,715 28,073

Mn 1,181 1,410 1,519

s.d. 401 499 398

Na 20,698 51,380 62,561

s.d. 10,063 28,799 30,852

Ni 29 92 112

s.d. 17 101 96

Rb 563 2,063 6,157

s.d. 531 1786 2,707

Sr 1,242 1,453 1,389

s.d. 172 376 292

Ti 11 33 28

s.d. 11 7 15

Zn 369 755 526

s.d. 83 138 140

Temerdashev Z.A. et al. Foods and Raw Materials, 2019, vol. 7, no. 1, pp. 124-130 Table 5. Average elemental contents and standard deviations (s.d.) in wine samples, ^g/dm3

Wine Cabernet Merlot

Zone/ subzone Statistic Anapa South-Piedmont Black Sea Taman Anapa South-Piedmont Taman

Fe average 8,098 3,398 4,188 3,657 13,248 4,073 4,883

s.d. 3,017 1,151 973 915 4,214 606 1,661

Mg average 74,037 116,978 96,780 141,678 71,221 114,459 158,520

s.d. 12,846 21,053 27,030 59,802 6,553 21,715 28,073

Na average 21,434 31,760 35,268 33,699 20,698 51,380 62,561

s.d. 9,680 27,186 13,784 8,590 10,064 28,798 30,852

Rb average 514 977 817 1,515 563 2,063 6,157

s.d. 360 290 236 352 531 1,786 2,707

Ti average 7 31 16 8 11 33 28

s.d. 3 22 11 3 11 7 15

ning the grape variety and geographical origin using STATISTICA Neural Networks, followed by a comparative analysis.

To select a number of elements as predictors of neural network classification models, we used a Spearman's nonparametric correlation coefficient that characterised the correlation between the names of wine samples, the region of grape origin, and the concentrations of trace elements in the samples. In particular, the elements with the largest statistically significant correlation links between the names of regions and wines (Fe, Mg, Rb, Ti, and Na) were selected as predictor variables.

In Table 5, which shows average elemental contents with standard deviations in both wine varieties from different regions, we can see some significant differences in the average values - the deciding factor for building classification models with neural networks. Most distinctly these differences are visualised by means of graphs. Fig. 1, for example, shows some box plots displaying Mg content in the Cabernet and Merlot wines from various regions. The box plots present ranges of values of a selected variable separately for groups of observations defined by the values of a categorical variable. The rectangles depicted around the midpoints (or squares) represent selected ranges of variation, for example, the standard error (the ratio of the standard deviation to the square root of the sample size). The segments with their ends outside the rectangles also reflect ranges of variation (average ± 1.96 x standard error). The diagram shows that the average values of Mg content, together with variation values, differ significantly between both the regions and the grape varieties.

As in [23], we were not able to build adequate neural networks that would allow us to identify the grape variety and region of origin from the concentrations of selected elements. Therefore, the problem was divided into two parts. First, networks were built to predict the grape variety from the concentrations of Fe, Mg, Rb, Ti, and Na. Then, based on the variety predicted (qualitative predictor) and the same set of elements (quantitative predictors), further networks were built to determine the place of grape origin. After assessing their predictive properties (productivity, number of classification errors, etc.), we selected the best network. Productivity is a percentage of correctly classified wine samples, with 100% taken as

maximum. The higher the productivity, the more accurate the prediction. To improve predictive accuracy, the samples were divided into three groups: training, control, and validation sample. The most important were the values of adequacy criteria in the test set. By combining various network options, we tried to create a network with the best predictive capabilities; therefore, at each stage of the process, the number of networks was different.

Building a neural network to establish the varietal origin of wine. The program divided 144 wine samples into three groups: training set (102), control set (21), and test set (21). The productivity of the best network (MLP 5-5-2), selected out of 50, had high values of 99.02%, 90.48%, and 95.30% in the training, control, and test sets, respectively. MLP 5-5-2 is a combination of letters and numbers that represents a topology of a multilayer perceptron. The letters stand for the type of a neural network, a multilayer perceptron (MLP); the first numer-

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Fig. 1. Box plots displaying Mg content in Cabernet and Merlot wines.

Fig. 2. Neural network to determine the variety of red wines.

al (5) refers to the number of predictor variables in the model, a sum of quantitative predictors and qualitative predictor values; the second (5) and the third (2) numerals refer to the numbers of hidden and output neurons, respectively.

The network topology is shown in schematic form in Fig. 2, where we can see five entries of predictor variables X; five hidden neurons Y; two output neurons representing objects of classification Qk, the Cabernet and Merlot varieties, as well as connections between them in the form of weights W. W

Table 6 shows the frequencies of correctly and incorrectly classified wines in the sample sets. As we can see, one Merlot sample from the training and the test sets and two Merlot samples from the control set were erroneously classified as Cabernet. All Cabernet samples were correctly identified in all the sets. The total number of erroneously classified samples was four out of 144 (app. 2.8%), i.e. the neural network identified 97.2% of the wine samples correctly. In [23], by comparison, the classification tree with seven terminal vertices only once misclassified a Merlot sample as a Cabernet, based on the concentration of seven microelements, i.e. 99.3% of the training sample was identified correctly.

Table 6. Wine classification results by variety

Sample set Classification accuracy Cabernet Merlot Total

Training Total 57 45 102

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Correct 57 44 101

Incorrect 0 1 1

Correct, % 100 97.78 99.01

Incorrect, % 0 2.22 0.99

Control Total 12 9 21

Correct 12 7 19

Incorrect 0 2 2

Correct, % 100 77.78 90.48

Incorrect, % 0 22.22 9.52

Test Total 7 14 21

Correct 7 13 20

Incorrect 0 1 1

Correct, % 100 92.86 95.24

Incorrect, % 0 7.14 4.76

Table 7. Network sensitivity analysis

MLP 5-5-2 Fe Rb Mg Na Ti

Test 141.09 52.18 40.62 42.80 17.12

Training 21.01 8.42 4.73 2.99 1.41

Control 6.86 3.58 5.63 3.12 2.64

The network sensitivity can be used to estimate a contribution of each predictor to its predictive properties: in our case, a contribution of the elements to the classification model. The sensitivity values (see Table 7) indicate a decreasing sequence of Fe, Rb, Mg, Na, and Ti, which represents their contributions to the predictive properties of the network.

Building a neural network to determine the regional origin. The possibility of predicting the wine variety based on five microelements made it realistic to create a neural network to identify the place of grape origin using the trace elements of Fe, Mg, Rb, Ti, and Na and the varieties of Cabernet and Merlot. In the same way, the program divided 144 wine samples into three groups: training set (102), control set (21), and test set (21). The best out of 18 networks (MLP 7-9-4) had productivity values of 100%, 80.95%, and 100% in the training, control, and test sets, respectively.

As can be seen in Table 8, all the wine samples (100%) from the Black Sea zone were classified by the network correctly. The next high accuracy area was the Taman subzone with 100%, 85.71%, and 100% of correctly classified samples in the training, control, and test sets, respectively. The lowest accuracy was observed in the Anapa subzone: 100%, 71.43%, and 100%, respectively. The total number of misclassified samples was four out of 144 (app. 2.8%), i.e. the neural network

Table 8. Wine classification results by region

et s le Ö ^ o ^ % $ e n o s 1 a ne o 1 s an e n o s a e K k i ä

! K S3 2 cd o o ä & n < J lack m n ^ ° § M S Total

Training Total 26 46 14 16 102

Correct 26 46 14 16 102

Incorrect 0 0 0 0 0

Correct, % 100 100 100 100 100

Incorrect, % 0 0 0 0 0

Control Total 7 7 3 4 21

Correct 5 6 3 3 17

Incorrect 2 1 0 1 4

Correct, % 71.43 85.71 100 75 80.95

Incorrect, % 28.57 14.29 0 25 19.05

Test Total 7 8 1 5 21

Correct 7 8 1 5 21

Incorrect 0 0 0 0 0

Correct, % 100 100 100 100 100

Incorrect, % 0 0 0 0 0

Fig. 3. The programme home screen

identified 97.2% of the wine samples correctly. It is noteworthy that all the samples in the test set were classified correctly, regardless of the place of origin.

The sensitivity analysis showed that the average predictor contributions to the network's predictive properties decreased in the following order: Variety, Rb, Ti, Mg, Fe, and Na. We can notice that this sequence is significantly different from the one for the variety identification network.

In [23], the problem of identifying the place of grape origin was solved separately for Cabernet and Merlot wines using two methods, discriminant analysis and classification trees. The discriminant analysis of Cabernet and Merlot wines involved 13 and 14 microelements, respectively, whereas only 7 and 3 microelements were used in the classification trees. However, both methods produced 100%-accurate classifications.

The above shows that the traditional methods of classification analysis, which used a larger number of elements, achieved a higher predictive accuracy. However, the neural networks also showed acceptable prediction accuracy with a significantly smaller number of predictors (5). The results were confirmed by the classification analysis in the test sample set, with a 100% accuracy

of region identification and only one mistake in variety identification.

Thus, we managed to build adequate neural networks for two red wines, Merlot and Cabernet, with high predictive properties, able to determine the wine variety from a minimum set of elements, and then, identify the region of grape origin from the variety and the same set of elements.

To automate the process of identifying the varietal and geographical origin of red wines, we developed a program using Visual C# (C Sharp). The network parameters obtained during the training process, their topology and weights made it possible to create an autonomous software product that can function independently of STATISTICA. The home screen of the program is shown in Fig. 3. If you enter the concentration values of the trace elements Fe, Mg, Na, Rb, and Ti into the corresponding boxes on the interface and click 'Calculate', you will see the variety (Cabernet) and the place of the grape origin (Anapa) at the bottom of the screen.

CONCLUSION

Thus, the use of neural networks enabled us to successfully identify both the varietal and the regional origin of red wines. It is equally important that a certain set of elements in wine contains information not only about the grape variety, but also about the place of its growth. Traditional and heuristic methods of classification analysis used with modern data analysis tools allowed us to accurately determine the grape variety and region of origin from the "elemental" memory of the wine.

CONFLICT OF INTEREST

The authors declare no conflict of interest.

ACKNOWLEDGEMENTS

The study was financed by the Russian Foundation for Basic Research (Project No. 18-03-00059); the scientific equipment was provided by the Centre for Environmental Analysis at the Kuban State University (unique identifier RFMEFI59317X0008).

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ORCID ffis

Zaual A. Temerdashev https://orcid.org/0000-0001-5284-0317 Alexan A. Khalafyan https://orcid.org/0000-0003-2324-3649

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