Table of Contents Author Guidelines Submit a Manuscript
Journal of Analytical Methods in Chemistry
Volume 2019, Article ID 2796502, 7 pages
https://doi.org/10.1155/2019/2796502
Research Article

Chemometric Analysis of Elemental Fingerprints for GE Authentication of Multiple Geographical Origins

1College of Material and Chemical Engineering, Tongren University, Tongren 554300, Guizhou, China
2The Modernization Engineering Technology Research Center of Ethnic Minority Medicine of Hubei Province, College of Pharmacy, South-Central University for Nationalities, Wuhan 430074, China
3Shanghai Institute of Quality Inspection and Technical Research, Shanghai 201114, China
4Technology Center, China Tobacco Guizhou Industrial Co., LTD., Guiyang 550009, Guizhou, China

Correspondence should be addressed to Shunping Xie; moc.qq@39711442 and Daowang Lu; moc.361@4002ulgnawoad

Received 8 April 2019; Revised 13 June 2019; Accepted 17 June 2019; Published 11 July 2019

Academic Editor: Karoly Heberger

Copyright © 2019 Lu Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The feasibility of combining elemental fingerprints and chemical pattern recognition methods for authentication of the geographical origins of a Chinese herb, Gastrodia elata BI. (GE), was studied in this paper. A total of 210 GE samples were collected from 7 different producing areas. The levels of 15 mineral elements in GE, including Zn, Cd, Co, Cr, Cu, Ca, Mg, Mn, Mo, Ni, Pb, Sr, Fe, Na, and K, were determined using inductively coupled plasma mass spectrometry (ICP-MS). Using the autoscaled data of elemental fingerprints and partial least-squares discriminant analysis (PLSDA), two chemometrics strategies for multiclass classifications, One-Versus-Rest (OVR) and One-Versus-One (OVO), were studied and compared in discrimination of GE geographical origins. As a result, OVR-PLSDA and OVO-PLSDA could achieve the classification accuracy of 0.672 and 0.925, respectively. The results indicate that mineral elemental fingerprints coupled with chemometrics can provide a useful alternative method for simultaneous discrimination of multiple GE geographical origins.

1. Introduction

The Chinese herb, “Tianma,” made from the dry tuber of Gastrodia elata BI. (GE), has been used as herb in traditional Chinese medicine (TCM) for restoring wind and stopping spasm, calming liver-yang, dispelling wind, and dredging collaterals from ancient times [1, 2]. Gastrodia elata is widely distributed in other Asian countries, such as Korea and Japan [3]. Modern scientific research studies have revealed various pharmacological effects of GE, such as anticonvulsant, analgesic, and sedative effects [4, 5]. Clinically, it is mainly used in the treatment of headache, dizziness, numbness of limbs, children’s convulsions, epilepsy, tetanus, and so on [69]. Herbal chemistry research studies have isolated and identified various physiological active ingredients from GE, including gastrodin, palisarin A, palisarin B, palisarin C, palisarin E, p-hydroxybenzyl alcohol, p-hydroxybenzaldehyde, polysaccharides, amino acids, and trace elements [10, 11]. Due to the healthy functions and mild actions of GE, it is also used as a popular functional additive in various foods, such as porridges, noodles, dishes, and beverages [12, 13].

Due to the influences of germplasm, cultivation, and environmental and processing conditions, the quality of GE cultivated in different habitats varies greatly, so the quality evaluation of GE is particularly important. Generally, the quality evaluation methods of GE can fall into two classes: capillary electrophoresis [14] and the study of the fingerprint of high-performance liquid chromatography (HPLC) [15, 16]. The index components used for GE quality control include gastrodin, polysaccharides, total flavonoids, amino acids, moisture, and ash [17, 18]. Hazard components in GE, such as sulfur dioxide (sulfur is used by some illegal producers in processing and storage of herbal materials), pesticide residues, and heavy metals, have also been used to inspect and compare the quality of GE samples [19, 20]. HPLC fingerprints also provide a useful tool for quality control of GE by characterizing some of its active components; however, usually the contents of polysaccharides, amino acids, and trace elements were not involved.

As China has a vast territory with diverse geographical, geological, and climate conditions, the types and contents of elements in soils of different regions are different. Moreover, different elements play different roles in herb growth and have different effects on the biosynthesis, accumulation, and distribution of various components in herbs [21, 22]. Therefore, the levels of mineral elements in herbs from different regions are generally not the same, which can provide some useful chemical information to distinguish the geographical origins of herbs [23, 24]. The objective of this work was to develop a practical and effective method by analysis of elemental fingerprints to authenticate the geographical origins of GE samples. The inductively coupled plasma mass spectrometry (ICP-MS) method was used to determine the levels of 15 mineral elements in GE samples. Moreover, two different chemometric strategies for multiclass classifications, One-Versus-Rest (OVR) and One-Versus-One (OVO) [25], were applied and compared to improve the classification performances of mathematical models.

2. Materials and Methods

2.1. Collection of GE Samples

A total of authentic 210 GE samples from 7 major producing areas were provided by local herb planting bases and Kangqi Medical Plant Development Co., Ltd. (Dejiang, Tongren, China). The 7 producing areas included Hubei (30 samples), Anhui (30 samples), Yunnan (30 samples), Shanxi (30 samples), Guizhou (30 samples), Henan (30 samples), and Gansu (30 samples).

2.2. Reagents and Standard Solutions

Standard reserve solutions (1000 μg/mL) of Zn, Cd, Co, Cr, Cu, Ca, Mg, Mn, Mo, Ni, Pb, Sr, Fe, Na, and K were purchased from the National Standard Material Center of China. Secondary distilled water was used in preparing all the sample solutions. For Zn, Cd, Co, Cr, Cu, Mo, Ni, Pb, Sr, and Fe, the serial contents of nitric acid acidified standard solutions were 0. 00, 0.10, 0.50, 1.00, and 5.00 μg/mL; for Ca, Mg, Mn, Na, and K, the serial contents were 0. 00, 1.00, 10.00, 50.00, and 100.00 μg/mL.

2.3. Digestion of GE Samples

The GE samples were dried, ground, and digested by a Mars 5 Microwave Digestion System (CEM Corp., USA). About 0.5 g GE powder was precisely weighed and put into a Teflon digestion tank with 7 mL nitric acid (65%, w/w) and 2 mL H2O2 (30%, w/w). The digestion procedure is summarized in Table 1. In order to reduce blank interferences, all glass instruments and the digestion tank were soaked overnight with nitric acid (10%, w/w), washed repeatedly with deionized water, rinsed with secondary distilled water, and dried naturally.

Table 1: Selected parameters of microwave digestion system.
2.4. Determination of Elemental Levels by ICP-MS

Levels of the 15 inorganic elements in GE samples were analyzed using an Agilent 7500a ICP-MS Series inductively coupled plasma mass spectrometer (Agilent Technologies, Santa Clara, CA, USA). The working parameters of the spectrometer was as follows: carrier gas, argon (700 kPa); circulating water, 15–20°C & 250–400 kPa; exhaust volume, 7.0 m3/min; absorption rate, 0.3 r/s; absorption time, 30 s; and balance time, 45 s. The elemental contents were determined using the least squares standard curve method.

2.5. Chemometrics and Software

Outliers are observation points that are distant from other observations. Obviously, outliers can cause serious problems in statistical analysis. For classification modeling, outliers in the learning set would cause bias in the model parameters or even breakdown of the model, while outliers in the prediction objects would result in false results concerning model performance. Generally, the presence of multiple outliers can have masking effects, that is, some outliers may look like normal data points. In this work, the robust Stahel–Donoho estimate (SDE) of outlyingness [26] was used for outlier diagnosis in GE samples. SDE computes repeated projections of each object onto randomly selected unit vectors. The SDE outlyingness can be derived from the robust location and scatter estimators of projections.

The Kennard–Stone (K-S) algorithm [27] was used to divide the data into a learning set and prediction set. Considering the distribution heterogeneity of GE from different geographical origins, the K-S method was independently applied to each class to split it into learning and prediction objects. For discriminant analysis, learning and prediction objects of different geographical origins were merged into the final learning and prediction sets.

Two different strategies for multiclass classification, One-Versus-One (OVO) and One-Versus-Rest (OVR), were applied to discrimination of GE geographical origins. Both OVR and OVO solve a multiclass problem by using a set of two-class classifiers. For m groups to be classified, OVR builds m two-class (One-Versus-(m − 1)) models. For the ith (i = 1, 2, 3, …, m) model, the group i is denoted as +1 and the other (m − 1) groups are denoted as −1. A prediction object will obtain a vector of m predicted responses from the above m models and will be classified into the group corresponding to the largest response value. For OVO, two-class classifiers are built between every pair of the m groups, so there are m(m − 1)/2 OVO classifiers altogether. A test object will be predicted by all the m(m − 1)/2 models and assigned using a majority voting.

Partial least-squares discriminant analysis (PLSDA) [28, 29] is a classification technique related to partial least squares (PLS). For binary PLSDA, a dummy response vector of +1 (class A) and −1 (class B) is constructed to represent each object in the feature matrix. The cutoff value of predicted response values can be set to be 0, namely, an object with a predicted response value higher/lower than 0 would be assigned to class A/B. An important issue of PLSDA was to estimate the model complexity or the number of significant latent variables (LVs). In this work, Monte Carlo cross validation (MCCV) [30] was used to estimate model complexity by minimizing the error rate of MCCV (ERMCCV) defined as follows:where K is the number of random data splitting by MCCV; Mi is the number of misclassified objects for the ith data splitting; and N is the total number of test samples in multiple data splitting. Classification accuracy was used to evaluate and compare the performance of OVO-PLSDA and OVR-PLSDA:where NP is the size of test set and NC is the number of correctly predicted objects.

All the data processing and chemometric analysis were performed on MATLAB 7.0.1 (Mathworks, Sherborn, MA, USA). The K-S algorithm was performed using the codes included in the TOMCAT MATLAB toolbox [31]. All the other algorithms including PLSDA and MCCV were performed using self-compiled MATLAB codes.

3. Results and Discussions

3.1. Elemental Fingerprints of GE

The ICP-MS analysis results of the 15 elements for GE samples from different geographical origins are listed in Table 2. Because the data scales of the 15 elements were different, the level of each element was autoscaled (mean-centered and rescaled to have a unit standard deviation) for further analysis. For exploratory analysis, principal component analysis (PCA) was used for dimension reduction of the data (Figure 1). Two principal components were selected to explain more than 89.87% of the total data variances (PC1 77.31%, PC2 12.56%) of the original GE samples ICP-MS from 7 geographical origins. The first 2 PCs can give some separation of the 7 classes although overlapping exists. As is shown in Figure 2, the most positive influence along the PC1 direction can be associated with Na and K, while the most prominent negative impact can be attributed to Mn and Sr. Connecting this with the score plot, a significant increase in Na and K and significant decrease in Sr and Mn can be expected, going from the samples that belong to the Hubei region towards those originating from the Gansu region. Similarly, the highest positive impact along the PC2 direction is observed in the case of Pb, Fe, Mn, Cu, and Na, while the prominent negative impact is observed in the case of Ni, Co, Ca, and Sr. Connecting this with the score plot, one may expect higher content of Pb, Fe, Mn, and Cu in the samples from Hubei, Yunan, and Guizhou regions, while Ni, Co, Ca, and Sr should be dominant in samples originating from Anhui, Shanxi, and Gansu regions. Supervised classification models were required to obtain accurate classification of the 7 classes.

Table 2: Average contents, standard deviations (SD), detection limits, and relative standard deviations (RSD) of the 15 mineral elements in GE samples.
Figure 1: The scores of the first two principal components for GE samples from 7 geographical origins.
Figure 2: The loadings of PC1 77.31% (a) and PC2 12.56% (b) for GE samples from 7 geographical origins.
3.2. Classification Results

For outlier diagnosis, robust SDE outlyingness was computed for each of the 7 classes. In this work, the number of random projections of SDE was 1000. According to the 3σ rule, SDE outlyingness over 3 is very likely to indicate the presence of an outlier. All the 4 detected outliers were excluded from further data analysis. After removal of outliers, the K-S method was performed on the remaining data of each class to split it into training and test objects, which were combined to form the final learning and prediction sets as shown in Table 3. Finally, a training set of 139 objects and a test set of 67 objects were obtained for training and validation of multiclass PLSDA models.

Table 3: Outlier removal and splitting of the data into training and test objects.

For both OVO and OVR, MCCV was used to estimate the number of LVs for two-class PLSDA models. In this work, the number of random data splitting by MCCV was 100, and for each data splitting, 30% of data were left out for model validation. The classification results of the 7 classes of GE samples by OVR-PLSDA and OVO-PLSDA are summarized in Table 4. By OVR-PLSDA, the total classification accuracy of the 7 classes was 0.672. The poor prediction results of OVR-PLSDA can be attributed to the following reasons. As shown in Table 4, the average complexity of the 1-VS-6 PLSDA classifiers was 5.29. The high model complexity is usually related to a poor generalization performance. Moreover, because the competitive strategy of OVR involves selecting the largest predicted responses among 7 1-VS-6 classifiers, the final decision-making will be susceptible to class overlapping and submodel errors. Another reason may be the uneven class sizes of the 1-VS-6 models, which can cause bias of the classification cutoff value, although the boundary bias had been corrected [32].

Table 4: Classification results of GE samples from 7 geographical origins using elemental fingerprints by OVR-PLSDA and OVO-PLSDA.

The prediction results by OVR-PLSDA and OVO-PLSDA are also shown in Figure 3. For the OVO-PLSDA, the total classification accuracy of the 7 classes was 0.925. The average LVs number of OVO-PLSDA submodels was 2.43. Compared with OVR-PLSDA, the performance of OVO-PLSDA was significantly improved. This can be attributed to the lower model complexity and better classification efficiency of OVO subclassifiers. Figures 4(a) and 4(b) are loading diagrams of the OVR-PLSDA and OVO-PLSDA models, respectively. It can be found that Sr, Na, and Mn have a greater contribution to the geographical origin identification of GE samples in the OVR-PLSDA model, followed by the elements Co and Cu. However, more elements in OVO-PLSDA are considered to be important indicators for the determination of GE samples, such as Cd, Fe, Mn, Mg, Ca, Na, and K. Moreover, for the training data set, because the class sizes of the 7 classes are nearly even (9 or 10 objects in each class), the estimation of classification boundaries of subclassifiers by OVO-PLSDA would be more reliable than by OVR-PLSDA.

Figure 3: Prediction results for GE samples from 7 geographical origins using elemental fingerprints by OVO-PLSDA (a) and OVR-PLSDA (b) (class labels: 1, Hubei; 2, Anhui; 3, Yunnan; 4, Shanxi; 5, Guizhou; 6, Henan; and 7, Gansu).
Figure 4: The loading diagrams of the OVR-PLSDA (a) and OVO-PLSDA (b) for GE samples from 7 geographical origins.

4. Conclusion

This paper describes the application of ICP-MS elemental fingerprint and chemometrics to the discrimination of the geographical origins of GE samples. The concentration levels of 15 mineral elements (Zn, Cd, Co, Cr, Cu, Ca, Mg, Mn, Mo, Ni, Pb, Sr, Fe, Na, and K) were interpreted using techniques such as PCA, OVR-PLSDA, and OVO-PLSDA. In addition, the OVO-OLSDA model, which was carried out with 7 geographical origins for GE samples, may provide a better prediction ability for samples that are outside of the calibration dataset than the OVR-PLSDA model. This approach improved classification performance with overall accuracy of 0.925, which provided a robust approach for evaluation of the geographical origins of GE samples.

Data Availability

The data used to support the findings of this studyare available from the corresponding author upon request by interested readers.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

Authors’ Contributions

Lu Xu and Qiong Shi equally contributed to this work.

Acknowledgments

The authors are grateful for financial support from the National Natural Science Foundation of China (Grant nos. 21665022, 21576297, 21776321, 21706233, and 21476270), Guizhou Provincial Science and Technology Department (nos. QKHJC[2017]1186, QKHZC[2019]2816, and QKHZC[2019]2765), Talented Researcher Program from the Guizhou Provincial Department of Education (no. QJHKYZ[2018]073), and Provincial Key Disciplines of Chemical Engineering and Technology in Guizhou Province (no. ZDXK[2017]8).

References

  1. T. Wang, H. C. Wang, W. Q. Xue, J. Zhao, and Z. L. Yang, “Phylogenetic analyses of Armillaria reveal at least 15 phylogenetic lineages in China, seven of which are associated with cultivated Gastrodia elata,” PLoS One, vol. 11, no. 5, Article ID e154794, 2016. View at Publisher · View at Google Scholar · View at Scopus
  2. W. Zhang, Y. X. Sheng, and J. L. Zhang, “Determination and pharmacokinetics of gastrodin and p-hydroxybenzylalcohol after oral administration of Gastrodia elata Bl. extract in rats by high-performance liquid chromatography-electrospray ionization mass spectrometric method,” Phytomedicine, vol. 15, no. 10, pp. 844–850, 2008. View at Publisher · View at Google Scholar · View at Scopus
  3. Y. W. Jang, J. Y. Lee, and C. J. Kim, “Anti-asthmatic activity of phenolic compounds from the roots of Gastrodia elata Bl,” International Immunopharmacology, vol. 10, no. 2, pp. 147–154, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. S.-M. An, C.-H. Park, J.-C. Heo et al., “Gastrodia elata Blume protects against stress-induced gastric mucosal lesions in mice,” International Journal of Molecular Medicine, vol. 20, no. 2, pp. 209–215, 2007. View at Publisher · View at Google Scholar
  5. H.-D. Zhan, H.-Y. Zhou, Y.-P. Sui et al., “The rhizome of Gastrodia elata Blume—an ethnopharmacological review,” Journal of Ethnopharmacology, vol. 189, pp. 361–385, 2016. View at Publisher · View at Google Scholar · View at Scopus
  6. H.-J. Kim, S.-R. Lee, and K.-D. Moon, “Ether fraction of methanol extracts of Gastrodia elata, medicinal herb protects against neuronal cell damage after transient global ischemia in gerbils,” Phytotherapy Research, vol. 17, no. 8, pp. 909–912, 2003. View at Publisher · View at Google Scholar · View at Scopus
  7. W.-C. Chen, T.-S. Tseng, N.-W. Hsiao et al., “Discovery of highly potent tyrosinase inhibitor, T1, with significant anti-melanogenesis ability by zebrafish in vivo assay and computational molecular modeling,” Scientific Reports, vol. 5, no. 1, p. 7995, 2015. View at Publisher · View at Google Scholar · View at Scopus
  8. C.-F. Tsai, C.-L. Huang, Y.-L. Lin, Y.-C. Lee, Y.-C. Yang, and N.-K. Huang, “The neuroprotective effects of an extract of Gastrodia elata,” Journal of Ethnopharmacology, vol. 138, no. 1, pp. 119–125, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. H.-J. Kim, K.-D. Moon, S.-Y. Oh, S.-P. Kim, and S.-R. Lee, “Ether fraction of methanol extracts of Gastrodia elata, a traditional medicinal herb, protects against kainic acid-induced neuronal damage in the mouse hippocampus,” Neuroscience Letters, vol. 314, no. 1-2, pp. 65–68, 2001. View at Publisher · View at Google Scholar · View at Scopus
  10. C. L. Liu, M. C. Liu, and P. L. Zhu, “Determination of gastrodin, p-hydroxybenzyl alcohol, vanillyl alcohol, p-hydroxylbenzaldehyde and vanillin in tall gastrodia tuber by high-performance liquid chromatography,” Chromatographia, vol. 55, no. 5-6, pp. 317–320, 2002. View at Publisher · View at Google Scholar · View at Scopus
  11. E.-J. Park, W. Y. Lee, S. T. Kim, J. K. Ahn, and E. K. Bae, “Ergothioneine accumulation in a medicinal plant Gastrodia elata,” Journal of Medicinal Plant Research, vol. 4, no. 12, pp. 1141–1147, 2010. View at Google Scholar
  12. W.-C. Chen, Y.-S. Lai, K.-H. Lu et al., “Method development and validation for the high-performance liquid chromatography assay of gastrodin in water extracts from different sources of Gastrodia elata Blume,” Journal of Food and Drug Analysis, vol. 23, no. 4, pp. 803–810, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. G.-F. Li, Q.-B. Yin, L. Zhang et al., “Fine classification and untargeted detection of multiple adulterants of Gastrodia elata BI. (GE) by near-infrared spectroscopy coupled with chemometrics,” Analytical Methods, vol. 9, no. 12, pp. 1897–1904, 2017. View at Publisher · View at Google Scholar
  14. D. Wang, G. Yang, B. Li, Z. Li, and Y. Chen, “Investigation of the chemico-physical characteristics of the active components in the Chinese herb Gastrodia elata Bl. by capillary zone electrophoresis,” Analytical Sciences, vol. 18, no. 4, pp. 409–412, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. L. Wang, H. Xiao, X. Liang, and L. Wei, “Identification of phenolics and nucleoside derivatives in Gastrodia elata by HPLC-UV-MS,” Journal of Separation Science, vol. 30, no. 10, pp. 1488–1495, 2007. View at Publisher · View at Google Scholar · View at Scopus
  16. Z. Wang, S. H. Hwang, and S. S. Lim, “Comprehensive profiling of minor tyrosinase inhibitors from Gastrodia elata using an off-line hyphenation of ultrafiltration, high-speed countercurrent chromatography, and high-performance liquid chromatography,” Journal of Chromatography A, vol. 1529, pp. 63–71, 2017. View at Publisher · View at Google Scholar · View at Scopus
  17. C. Tang, B. Wu, J. Wu, Z. Zhang, and B. Yu, “Novel strategies using total gastrodin and gastrodigenin, or total gastrodigenin for quality control of Gastrodia elata,” Molecules, vol. 23, no. 2, p. 270, 2018. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Li, Y. Du, L. Wang et al., “Efficient discovery of quality control markers for Gastrodia elata Tuber by fingerprint-efficacy relationship modelling,” Phytochemical Analysis, vol. 28, no. 4, pp. 351–359, 2017. View at Publisher · View at Google Scholar · View at Scopus
  19. C. Kang, C.-J.-S. Lai, D. Zhao et al., “A practical protocol for comprehensive evaluation of sulfur-fumigation of Gastrodia Rhizoma using metabolome and health risk assessment analysis,” Journal of Hazardous Materials, vol. 340, pp. 221–230, 2017. View at Publisher · View at Google Scholar · View at Scopus
  20. Y. Rui, X. Chen, Y. Yu, and R. Guo, “Contents of mineral elements in two traditional Tibetan medicines Fritillaria ussuriensis and Gastrodia elata,” Arabian Journal of Chemistry, vol. 9, no. 1, pp. S756–S757, 2016. View at Publisher · View at Google Scholar · View at Scopus
  21. G. Gezek, P. Hashemi, Z. Kalaycıoğlu et al., “Evaluation of some Turkish Salvia species by principal component analysis based on their vitamin B2, mineral composition, and antioxidant properties,” Lebensmittel-Wissenschaft & Technologie, vol. 100, pp. 287–293, 2019. View at Publisher · View at Google Scholar · View at Scopus
  22. M. C. Martín-Domingo, A. Pla, A. F. Hernández et al., “Determination of metalloid, metallic and mineral elements in herbal teas. Risk assessment for the consumers,” Journal of Food Composition and Analysis, vol. 60, pp. 81–89, 2017. View at Publisher · View at Google Scholar · View at Scopus
  23. X. Ye, S. Jin, D. Wang et al., “Identification of the origin of white tea based on mineral element content,” Food Analytical Methods, vol. 10, no. 1, pp. 191–199, 2017. View at Publisher · View at Google Scholar · View at Scopus
  24. C. Maione and R. M. Barbosa, “Recent applications of multivariate data analysis methods in the authentication of rice and the most analyzed parameters: a review,” Critical Reviews in Food Science and Nutrition, vol. 59, no. 12, pp. 1868–1879, 2019. View at Publisher · View at Google Scholar
  25. H.-Y. Fu, Q.-B. Yin, L. Xu et al., “Challenges of large-class-number classification (LCNC): a novel ensemble strategy (ES) and its application to discriminating the geographical origins of 25 green teas,” Chemometrics and Intelligent Laboratory Systems, vol. 157, pp. 43–49, 2016. View at Publisher · View at Google Scholar · View at Scopus
  26. M. Debruyne and M. Hubert, “The influence function of the Stahel–Donoho covariance estimator of smallest outlyingness,” Statistics & Probability Letters, vol. 79, no. 3, pp. 275–282, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. R. Kocjančič and J. Zupan, “Application of a feed-forward artificial neural network as a mapping device,” Journal of Chemical Information and Computer Sciences, vol. 37, no. 6, pp. 985–989, 1997. View at Publisher · View at Google Scholar · View at Scopus
  28. M. Barker and W. Rayens, “Partial least squares for discrimination,” Journal of Chemometrics, vol. 17, no. 3, pp. 166–173, 2003. View at Publisher · View at Google Scholar · View at Scopus
  29. U. G. Indahl, K. H. Liland, and T. Naes, “Canonical partial least squares—a unified PLS approach to classification and regression problems,” Journal of Chemometrics, vol. 23, no. 9, pp. 495–504, 2009. View at Publisher · View at Google Scholar · View at Scopus
  30. Q.-S. Xu and Y.-Z. Liang, “Monte Carlo cross validation,” Chemometrics and Intelligent Laboratory Systems, vol. 56, no. 1, pp. 1–11, 2001. View at Publisher · View at Google Scholar · View at Scopus
  31. M. Daszykowski, S. Serneels, K. Kaczmarek, P. Van Espen, C. Croux, and B. Walczak, “TOMCAT: a MATLAB toolbox for multivariate calibration techniques,” Chemometrics and Intelligent Laboratory Systems, vol. 85, no. 2, pp. 269–277, 2007. View at Publisher · View at Google Scholar · View at Scopus
  32. J. Xu, “An extended one-versus-rest support vector machine for multi-label classification,” Neurocomputing, vol. 74, no. 17, pp. 3114–3124, 2011. View at Publisher · View at Google Scholar · View at Scopus