Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE
One of the goals of macroeconomic analysis is to rank and segment enterprises described by many financial indicators. The segmentation can be used for investment strategies or risk evaluation. The aim of this research was to distinguish groups of similar objects and visualize the results in a low di...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/1/88 |
| _version_ | 1827665630852022272 |
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| author | Urszula Grzybowska Marek Karwański |
| author_facet | Urszula Grzybowska Marek Karwański |
| author_sort | Urszula Grzybowska |
| collection | DOAJ |
| description | One of the goals of macroeconomic analysis is to rank and segment enterprises described by many financial indicators. The segmentation can be used for investment strategies or risk evaluation. The aim of this research was to distinguish groups of similar objects and visualize the results in a low dimensional space. In order to obtain clusters of similar objects, the authors applied a DEA BCC model and archetypal analysis for a set of companies described by financial indicators and listed on the Warsaw Stock Exchange. The authors showed that both methods give consistent results. To get a better insight into the data structure as well as a visualization of the similarities between objects, the authors used a new approach called the PHATE algorithm. It allowed the results of DEA and archetypal analysis to be visualized in a low dimensional space. |
| first_indexed | 2024-03-10T01:31:51Z |
| format | Article |
| id | doaj.art-9f594a4c20a04c7b821ff225fe86b90d |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T01:31:51Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9f594a4c20a04c7b821ff225fe86b90d2023-11-23T13:41:42ZengMDPI AGEntropy1099-43002022-01-012418810.3390/e24010088Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATEUrszula Grzybowska0Marek Karwański1Department of Applied Informatics and Mathematics, Warsaw University of Life Sciences, SGGW, 02-787 Warsaw, PolandDepartment of Applied Informatics and Mathematics, Warsaw University of Life Sciences, SGGW, 02-787 Warsaw, PolandOne of the goals of macroeconomic analysis is to rank and segment enterprises described by many financial indicators. The segmentation can be used for investment strategies or risk evaluation. The aim of this research was to distinguish groups of similar objects and visualize the results in a low dimensional space. In order to obtain clusters of similar objects, the authors applied a DEA BCC model and archetypal analysis for a set of companies described by financial indicators and listed on the Warsaw Stock Exchange. The authors showed that both methods give consistent results. To get a better insight into the data structure as well as a visualization of the similarities between objects, the authors used a new approach called the PHATE algorithm. It allowed the results of DEA and archetypal analysis to be visualized in a low dimensional space.https://www.mdpi.com/1099-4300/24/1/88archetypal analysisDEAPHATEdata visualization |
| spellingShingle | Urszula Grzybowska Marek Karwański Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE Entropy archetypal analysis DEA PHATE data visualization |
| title | Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE |
| title_full | Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE |
| title_fullStr | Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE |
| title_full_unstemmed | Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE |
| title_short | Archetypal Analysis and DEA Model, Their Application on Financial Data and Visualization with PHATE |
| title_sort | archetypal analysis and dea model their application on financial data and visualization with phate |
| topic | archetypal analysis DEA PHATE data visualization |
| url | https://www.mdpi.com/1099-4300/24/1/88 |
| work_keys_str_mv | AT urszulagrzybowska archetypalanalysisanddeamodeltheirapplicationonfinancialdataandvisualizationwithphate AT marekkarwanski archetypalanalysisanddeamodeltheirapplicationonfinancialdataandvisualizationwithphate |