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Master Thesis - Department of Computer Science

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Table 5.4: Base classifier’s performance (in Percentage Accuracy) for four face and<br />

fingerprint databases (two each).<br />

Test Set PIE ORL F PA F PB<br />

T est1 81.47 83.33 86.00 78.00<br />

T est2 78.53 76.67 82.50 67.50<br />

T est3 - - 80.00 60.00<br />

T est4 - - 76.67 63.33<br />

Table 5.5: Base classifier’s performance (in Percentage Accuracy) using LDA for the<br />

face and fingerprint databases (two each).<br />

Test Set PIE ORL F PA F PB<br />

T est1 86.18 86.67 64.00 34.00<br />

T est2 91.76 95.00 57.50 57.50<br />

T est3 - - 63.33 55.33<br />

T est4 - - 66.67 60.00<br />

combinations as in Table 5.4. We witness the effectiveness <strong>of</strong> LDA and nonpara-<br />

metric LDA on face classifier output space by comparing the performance <strong>of</strong> face<br />

classifier using LDA, (see 1 st and 2 nd column <strong>of</strong> Table 5.5) and nonparametric LDA<br />

(see 1 st and 2 nd column <strong>of</strong> Table 5.6) with the one not using any <strong>of</strong> the two (see<br />

1 st and 2 nd column <strong>of</strong> Table 5.4). The same conclusion cannot be drawn in case<br />

<strong>of</strong> fingerprint classifier, because <strong>of</strong> the deterioration <strong>of</strong> the performance <strong>of</strong> fingerprint<br />

classifier on the application <strong>of</strong> LDA (see 3 rd and 4 th column <strong>of</strong> Table 5.5) and nonpara-<br />

metric LDA (see 3 rd and 4 th column <strong>of</strong> Table 5.6) as compared to the performance <strong>of</strong><br />

base classifier without using the two (see 3 rd and 4 th column <strong>of</strong> Table 5.4). Henceforth<br />

(as described in the algorithm in section 5.3.1), we use LDA and nonparametric LDA<br />

only on face classifier space while keeping fingerprint classifier space unperturbed, and<br />

then use the sum rule for combination. This can be considered to be a preprocessing<br />

step before fusion on classifier space to improve their performance. One can argue<br />

that we can use a better method for each classifier itself to make it strong. But that<br />

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