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anytime algorithms for learning anytime classifiers saher ... - Technion

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<strong>Technion</strong> - Computer Science Department - Ph.D. Thesis PHD-2008-12 - 2008<br />

LSID3 Tree Size / ID3 Tree Size<br />

LSID3 Accuracy<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

AutoM<br />

AutoS<br />

Balance<br />

Breast<br />

Connect<br />

Corral<br />

Glass<br />

Iris<br />

Monk1<br />

Monk3<br />

Mushr<br />

Solar<br />

Tic<br />

Voting<br />

Wine<br />

Zoo<br />

XOR3D<br />

XOR4D<br />

MUX20<br />

MUXOR<br />

XOR5<br />

XOR5N<br />

XOR10<br />

Monk2<br />

(a)<br />

40<br />

40 50 60 70 80 90 100<br />

ID3 Accuracy<br />

(b)<br />

Figure 3.20: Per<strong>for</strong>mance differences between LSID3(5) and ID3. The upper figure<br />

gives the relative size of the trees produced by LSID3 in comparison to ID3. The<br />

lower figure plots the accuracy achieved by both <strong>algorithms</strong>. Each point represents a<br />

dataset. The x-axis represents the accuracy of ID3 while the y-axis represents that<br />

of LSID3. The dashed line indicates equality. Points are above it if LSID3 per<strong>for</strong>ms<br />

better and below it if ID3 is better.<br />

Consistent Trees<br />

Figure 3.20 illustrates the differences in tree size and generalization accuracy of<br />

LSID3(5) and ID3. Figure 3.21 compares the per<strong>for</strong>mance of LSID3 to that of<br />

ID3-k. The full results, including significance tests, are available in Tables 3.3-3.6.<br />

Table 3.3 shows the size of the trees induced by the above mentioned <strong>algorithms</strong>,<br />

while Table 3.4 lists the differences between the <strong>algorithms</strong> and states whether<br />

47

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