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Table 1 Sparsity detection, example 1.

From: The projection score - an evaluation criterion for variable subset selection in PCA visualization

Measure

First component

Second component

Projection score

10 (10-10)

10 (9-10)

Gap statistic

10 (9-10)

10 (8-10)

SPC

18.5 (10-46)

21 (11-32)

SSVD

11 (10-13)

10.5 (1-12)

  1. The median and range (across 10 instances) of the number of non-zero elements included in the optimal variable subset found by different methods. Each underlying component contains 10 non-zero elements. SPC - sparse PCA [22]. SSVD - sparse SVD [27]. The gap statistic is defined as in [25, 26].