Evaluation of projections, obtained by dimensionality reduction techniques
In this paper, the projection evaluation measures such as stress function, Spearman’s rho, Konig’s topology preservation, silhouette and Renyi entropy have been analyzed. The principal component analysis (PCA) and part–linear multidimensional projection (PLMP) techniques are used to reduce the dimen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2014-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/17697 |
| _version_ | 1818336306018648064 |
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| author | Kotryna Paulauskienė Olga Kurasova |
| author_facet | Kotryna Paulauskienė Olga Kurasova |
| author_sort | Kotryna Paulauskienė |
| collection | DOAJ |
| description | In this paper, the projection evaluation measures such as stress function, Spearman’s rho, Konig’s topology preservation, silhouette and Renyi entropy have been analyzed. The principal component analysis (PCA) and part–linear multidimensional projection (PLMP) techniques are used to reduce the dimensionality of the initial data set. The experiments have been carried out with seven real and artificial datasets. The experimental investigation has shown that several quality evaluation
measures have to be used when dimension reduction problem is solved. |
| first_indexed | 2024-12-13T14:37:13Z |
| format | Article |
| id | doaj.art-04d47737433e43508f0f50031be658dd |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-12-13T14:37:13Z |
| publishDate | 2014-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-04d47737433e43508f0f50031be658dd2022-12-21T23:41:41ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2014-12-0155B10.15388/LMR.B.2014.26Evaluation of projections, obtained by dimensionality reduction techniquesKotryna Paulauskienė0Olga Kurasova1Vilniaus universitetasVilniaus universitetasIn this paper, the projection evaluation measures such as stress function, Spearman’s rho, Konig’s topology preservation, silhouette and Renyi entropy have been analyzed. The principal component analysis (PCA) and part–linear multidimensional projection (PLMP) techniques are used to reduce the dimensionality of the initial data set. The experiments have been carried out with seven real and artificial datasets. The experimental investigation has shown that several quality evaluation measures have to be used when dimension reduction problem is solved.https://www.journals.vu.lt/LMR/article/view/17697projection quality evaluationdimensionality reduction |
| spellingShingle | Kotryna Paulauskienė Olga Kurasova Evaluation of projections, obtained by dimensionality reduction techniques Lietuvos Matematikos Rinkinys projection quality evaluation dimensionality reduction |
| title | Evaluation of projections, obtained by dimensionality reduction techniques |
| title_full | Evaluation of projections, obtained by dimensionality reduction techniques |
| title_fullStr | Evaluation of projections, obtained by dimensionality reduction techniques |
| title_full_unstemmed | Evaluation of projections, obtained by dimensionality reduction techniques |
| title_short | Evaluation of projections, obtained by dimensionality reduction techniques |
| title_sort | evaluation of projections obtained by dimensionality reduction techniques |
| topic | projection quality evaluation dimensionality reduction |
| url | https://www.journals.vu.lt/LMR/article/view/17697 |
| work_keys_str_mv | AT kotrynapaulauskiene evaluationofprojectionsobtainedbydimensionalityreductiontechniques AT olgakurasova evaluationofprojectionsobtainedbydimensionalityreductiontechniques |