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Table 13 The average F measure of different under-sampling methods

From: A multi-manifold learning based instance weighting and under-sampling for imbalanced data classification problems

Dataset

Original

RUS

NCL [28]

OSS [27]

CNN [34]

ENN [35]

CBU [31]

PUMD [13]

Proposed

ecoli1

0.73 (9)

0.82 (3)

0.81 (4)

0.77 (6)

0.76 (7)

0.75 (8)

0.79 (5)

0.89 (1)

0.85 ± 0.152 (2)

ecoli2

0.70 (6)

0.71 (5)

0.72 (4)

0.69 (8)

0.66 (9)

0.70 (6)

0.80 (3)

0.86 (2)

0.91 ± 0.105 (1)

ecoli3

0.54 (4)

0.70 (3)

0.54 (4)

0.46 (8)

0.54 (4)

0.53 (7)

0.72 (2)

0.86 (1)

0.86 ± 0.195 (1)

ecoli4

0.70 (5)

0.69 (6)

0.66 (8)

0.64 (9)

0.73 (4)

0.67 (7)

0.83 (3)

0.90 (2)

0.92 ± 0.170 (1)

ecoli0147vs56

0.72 (8)

0.77 (4)

0.74 (6)

0.75 (5)

0.74 (6)

0.70 (9)

0.80 (3)

0.86 (2)

0.89 ± 0.119 (1)

ecoli034_5

0.72 (9)

0.77 (4)

0.76 (5)

0.76 (5)

0.73 (7)

0.73 (7)

0.80 (3)

0.81 (2)

0.88 ± 0.151 (1)

ecoli0147_2356

0.56 (9)

0.75 (3)

0.60 (5)

0.60 (5)

0.57 (8)

0.59 (7)

0.75 (3)

0.89 (1)

0.81 ± 0.159 (2)

glass0

0.46 (9)

0.72 (3)

0.60 (5)

0.57 (6)

0.47 (8)

0.57 (6)

0.72 (3)

0.82 (1)

0.79 ± 0.116 (2)

glass0123456

0.75 (6)

0.57 (9)

0.77 (4)

0.73 (8)

0.76 (5)

0.74 (7)

0.78 (3)

0.88 (2)

0.92 ± 0.153 (1)

kddcup-buffer_overflow_vs_back

0.24 (9)

0.86 (3)

0.68 (8)

0.71 (7)

0.75 (5)

0.74 (6)

0.84 (4)

0.90 (2)

1 ± 0 (1)

new-thyroid1

0.73 (7)

0.79 (5)

0.72 (9)

0.76 (6)

0.85 (3)

0.73 (7)

0.82 (4)

0.84 (2)

0.98 ± 0.075 (1)

page-blocks-1-3_vs_4

0.79 (9)

0.87 (5)

0.80 (8)

0.86 (7)

0.87 (5)

0.88 (3)

0.88 (3)

0.90 (2)

096 ± 0.080 (1)

Pima

0.56 (9)

0.65 (3)

0.63 (6)

0.66 (2)

0.57 (8)

0.59 (7)

0.65 (3)

0.80 (1)

0.65 ± 0.067 (3)

segment0

0.88 (3)

0.88 (3)

0.87 (7)

0.88 (3)

0.87 (7)

0.88 (3)

0.89 (2)

0.89 (2)

0.98 ± 0.017 (1)

shuttle_2_vs_5

0.91 (2)

0.91 (2)

0.91 (2)

0.91 (2)

0.91 (2)

0.91 (2)

0.90 (3)

0.90 (3)

1 ± 0 (1)

vehicle2–1

0.71 (6)

0.82 (3)

0.71 (6)

0.71 (6)

0.74 (4)

0.72 (5)

0.83 (2)

0.72 (5)

0.97 ± 0.030 (1)

vowel0

0.81 (6)

0.87 (3)

0.79 (8)

0.83 (4)

0.82 (5)

0.80 (7)

0.89 (2)

0.90 (1)

0.90 ± 0.104 (1)

Wisconsin

0.84 (8)

0.85 (7)

0.85 (7)

0.86 (4)

0.88 (3)

0.86 (4)

0.86 (4)

0.90 (2)

0.97 ± 0.050 (1)

Average Ratings

7.17 (9)

4.39 (4)

6.17 (7)

5.89 (6)

5.83 (5)

6.28 (8)

3.33 (3)

1.77 (2)

1.27 (1)

Average F-measure

0.69 (9)

0.78 (4)

0.73 (5)

0.73 (5)

0.73 (5)

0.73 (5)

0.81 (3)

0.86 (2)

0.90 (1)