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Table 2 Sparsity detection, example 2.

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

Measure

First component

Second component

Projection score

160 (156-160)

152 (133-156)

Gap statistic

122.5 (106-133)

78 (60-100)

SPC

260.5 (229-499)

311.5 (280-494)

SSVD

162.5 (161-339)

164 (162-313)

  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 160 non-zero elements. SPC - sparse PCA [22]. SSVD - sparse SVD [27]. The gap statistic is defined as in [25, 26].