Variables Selection from the Patterns of the Features Applied to Spectroscopic Data—An Application Case
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| Yayımlandı: | Mathematics vol. 13, no. 1 (2025), p. 99 |
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| Diğer Yazarlar: | , |
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MDPI AG
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| Online Erişim: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| 024 | 7 | |a 10.3390/math13010099 |2 doi | |
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| 045 | 2 | |b d20250101 |b d20251231 | |
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| 100 | 1 | |a Romero-Béjar, José L |u Department of Statistics and Operations Research, University of Granada, 18011 Granada, Spain; <email>jlrbejar@ugr.es</email> (J.L.R.-B.); <email>jesquivel@ugr.es</email> (F.J.E.); Instituto de Investigación Biosanitaria (ibs.GRANADA), 18014 Granada, Spain; Institute of Mathematics, University of Granada (IMAG), Ventanilla 11, 18001 Granada, Spain | |
| 245 | 1 | |a Variables Selection from the Patterns of the Features Applied to Spectroscopic Data—An Application Case | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a Spectroscopic data allows for the obtaining of relevant information about the composition of samples and has been used for research in scientific disciplines such as chemistry, geology, archaeology, Mars research, pharmacy, and medicine, as well as important industrial use. In archaeology, it allows the characterization and classification of artifacts and ecofacts, the analysis of patterns, the characterization and study of the exchange of materials, etc. Spectrometers provide a large amount of data, the so-called “big data” type, which requires the use of multivariate statistical techniques, mainly principal component analysis, cluster analysis, and discriminant analysis. This work is focused on reducing the dimensionality of the data by selecting a small subset of variables to characterize the samples and presents a mathematical methodology for the selection of the most efficient variables. The objective is to identify a subset of variables based on spectral features that allow characterization of the samples under study with the least possible errors when performing quantitative analyses or discriminations between different samples. The subset is not predetermined and, in each case, is obtained for each set of samples based on the most important features of the samples under study, which allows for a good fit to the data. The reduction of the number of variables to an important performance based on the previously chosen difference between features, with a great fit to the raw data. Thus, instead of 2151 variables, a minimum optimal subset of 32 valleys and 31 peaks is obtained for a minimum difference between peaks or between valleys of 20 nm. This methodology has been applied to a sample of minerals and rocks extracted from the ECOSTRESS 1.0 spectral library. | |
| 610 | 4 | |a US Geological Survey Johns Hopkins University | |
| 653 | |a Data analysis | ||
| 653 | |a Vegetation | ||
| 653 | |a Minerals | ||
| 653 | |a Datasets | ||
| 653 | |a Cluster analysis | ||
| 653 | |a Big Data | ||
| 653 | |a Spectrum analysis | ||
| 653 | |a Principal components analysis | ||
| 653 | |a Spectrometers | ||
| 653 | |a Signal processing | ||
| 653 | |a Multivariate analysis | ||
| 653 | |a Variables | ||
| 653 | |a Industrial applications | ||
| 653 | |a Energy | ||
| 653 | |a Error reduction | ||
| 653 | |a Discriminant analysis | ||
| 653 | |a Libraries | ||
| 653 | |a Valleys | ||
| 653 | |a Radiation | ||
| 653 | |a Asymmetry | ||
| 700 | 1 | |a Esquivel, Francisco Javier |u Department of Statistics and Operations Research, University of Granada, 18011 Granada, Spain; <email>jlrbejar@ugr.es</email> (J.L.R.-B.); <email>jesquivel@ugr.es</email> (F.J.E.); Laboratory of 3D Archaeological Modelling, University of Granada, 18011 Granada, Spain | |
| 700 | 1 | |a Esquivel, José Antonio |u Laboratory of 3D Archaeological Modelling, University of Granada, 18011 Granada, Spain; Department of Prehistory and Archaeology, University of Granada, 18011 Granada, Spain | |
| 773 | 0 | |t Mathematics |g vol. 13, no. 1 (2025), p. 99 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3153862563/abstract/embedded/6A8EOT78XXH2IG52?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3153862563/fulltextwithgraphics/embedded/6A8EOT78XXH2IG52?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3153862563/fulltextPDF/embedded/6A8EOT78XXH2IG52?source=fedsrch |