Visualizing the quality of dimensionality reduction

Bassam Mokbel, Wouter Lueks, Andrej Gisbrecht, Michael L. Biehl, Barbara Hammer · University of Groningen research database (University of Groningen / Centre for Information Technology) · 2012

Abstract. Many different evaluation measures for dimensionality reduction can be summarized based on the co-ranking framework [6]. Here, we extend this framework in two ways: (i) we show that the current parameterization of the quality shows unpredictable behavior, even in simple settings, and we propose a different parameterization which yields more intuitive results; (ii) we propose how to link the quality to point-wise quality measures which can directly be integrated into the visualization. 1

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