Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (4): 1293-1300.doi: 10.13229/j.cnki.jdxbgxb20180478

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Nonlinear feature selection method based on dynamic change of selected features

Wan-fu GAO1(),Ping ZHANG2,Liang HU1()   

  1. 1. College of Computer Science and Technology，Jilin University，Changchun 130012, China
    2. College of Software，Jilin University，Changchun 130012，China
  • Received:2018-05-15 Online:2019-07-01 Published:2019-07-16
  • Contact: Liang HU E-mail:gaowf16@mails.jlu.edu.cn;hul@jlu.edu.cn

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Abstract:

Information theory is widely used in feature selection methods. Traditional feature selection methods employ cumulative summation to select features. Different from previous feature selection methods, this paper proposes a nonlinear feature selection method that also considers dynamic change of selected features. The experimental results demonstrate that the proposed method achieves the best classification performance in terms of average classification accuracy and highest classification accuracy. To verify the effectiveness of the proposed method, the proposed method is compared with seven very competitive feature selection methods on three different classifiers on eight real-world data sets.The experimental results shows that this algorithm has strong classification superiorities.

Key words: artificial intelligence, feature selection, information theory, dynamic change, nonlinear methods, classification

CLC Number: 

  • TP301

Table 1

Description of data sets"

数据集 样本个数 特征数目 类别数目 类型
Semeion 1593 256 10 离散
Movement_libras 360 90 15 连续
WarpPIE10P 210 2420 10 连续
TOX_171 171 5748 4 连续
SMK_CAN_187 187 19993 2 连续
Isolet 1560 617 26 连续
USPS 9298 256 10 连续
RELATHE 1427 4322 2 离散

Table 2

Average accuracy (mean±std) with statistical significance on NB"

Data sets CIFE CMIM DISR mRMR IWFS MRI JMIM NDCSF
Semeion

44.98±

7.48(+)

51.32±

10.54(=)

44.94±

7.15(+)

46.94±

8.07(+)

44.28±

7.81(+)

48.8±

9.01(+)

46.68±

8.99(+)

51.95±

10.52

Movement_libras

45.9±

8.02(+)

52.9±

11.06(=)

46.31±

7.93(+)

49.9±

9.52(+)

48.67±

8.24(+)

52.71±

10.91(=)

51.79±

10.38(=)

52.23±

11.38

WarpPIE10P

58.23±

7.78(+)

66.53±

13.11(+)

55.15±

10.71(+)

62.85±

10.96(+)

60.89±

9.59(+)

59.85±

10.14(+)

60.81±

11.67(+)

71.63±

14.37

TOX_171

57.42±

1.86(=)

61.87±

2.86(-)

53.76±

3.44(+)

54.97±

1.78(+)

50.99±

1.96(+)

59.37±

3.31(-)

55.11±

1.56(+)

57.76±

3.07
SMK_CAN_187

65.69±

1.79(+)

62.37±

1.72(+)

65.04±

2.35(+)

62.00±

1.45(+)

63.37±

3.81(+)

64.22±

1.7(+)

62.00±

1.68(+)

67.66±

2.40

Isolet

55.53±

13.47(+)

58.26±

14.33(+)

44.46±

10.38(+)

46.87±

10.6(+)

49.37±

10.55(+)

56.55±

13.67(+)

51.57±

11.24(+)

59.43±

17.51

USPS

66.4±

8.8(+)

76.21±

12.55(+)

67.4±

9.95(+)

71.72±

10.55(+)

67.63±

9.02(+)

70.93±

10.41(+)

70.75±

10.22(+)

76.11±

12.43

RELATHE

60.84±

0.98(+)

65.89±

3.76(+)

63.56±

3.01(+)

65.85±

3.67(+)

67.71±

2.82(+)

65.47±

2.64(=)

66.66±

2.5(+)

67.59±

4.6

Average 56.87 61.92 55.08 57.64 56.61 59.74 58.17 63.05

Table 3

Average accuracy (mean±std) with statistical significance on SVM"

Data sets CIFE CMIM DISR mRMR IWFS MRI JMIM NDCSF
Semeion

60.67±

11.8(+)

67.1±

15.89(+)

56.26±

11.36(+)

60.3±

12.32(+)

58.9±

11.59(+)

61.5±

12.93(+)

61.96±

13.59(+)

67.97±

16.84

Movement_libras

66.06±

15.4(+)

70.81±

17.81(+)

60.1±

12.54(+)

66.99±

16.03(+)

67.77±

15.53(+)

70.13±

17.35(+)

70.87±

17.73(+)

72.59±

18.12

WarpPIE10P

81.02±

14.99(+)

84.86±

17.04(+)

76.1±

12.86(+)

81.61±

15.81(+)

83.71±

16.96(+)

80.29±

14.94(+)

81.52±

16.53(+)

87.18±

18.24

TOX_171

59.6±

5.26(+)

65.15±

5.04(-)

58.36±

3.02(+)

59.87±

3.07(+)

58.16±

3.87(+)

57.83±

2.74(+)

56.35±

2.48(+)

63.01±

5.91
SMK_CAN_187

62.51±

2.32(+)

61.48±

1.29(+)

64.46±

1.19(+)

62.69±

1.61(+)

63.56±

2.87(+)

61.77±

1.96(+)

61.89±

1.68(+)

67.39±

1.81

Isolet

59.41±

14.09(+)

68.07±

18.22(-)

60.3±

14.89(+)

60.45±

14.78(+)

58.28±

13.81(+)

65.46±

16.63(=)

60.06±

14.07(+)

65.41±

18.65
USPS

80.12±

13.7(+)

84.12±

15.24(+)

78.74±

13.77(+)

81.35±

13.98(+)

80.29±

13.35(+)

81.55±

14.1(+)

81.92±

14.41(+)

85.84±

15.9

RELATHE

69.66±

1.55(+)

73.25±

2.89(+)

72.74±

3.22(+)

75.14±

3.75(=)

74.67±

2.88(+)

71.03±

1.85(+)

72.19±

2.06(+)

74.65±

3.84

Average 67.38 71.86 65.88 68.55 68.17 68.7 68.35 73.01

Table 4

Average accuracy (mean±std) with statistical significance on 3NN"

Data sets CIFE CMIM DISR mRMR IWFS MRI JMIM NDCSF
Semeion

55.99±

13.38(+)

62.06±

18.63(=)

49.39±

14.08(+)

54.81±

14.32(+)

53.76±

12.87(+)

56.11±

14.21(+)

55.88±

15.46(+)

62.56±

19.21

Movement_libras

61.27±

15.1(+)

64.97±

16.88(+)

56.46±

12.54(+)

62.38±

15.56(+)

62.64±

13.92(+)

65.00±

17.22(+)

64.01±

16.32(+)

66.7±

17.23

WarpPIE10P

77.29±

14.62(+)

81.95±

17.77(+)

73.97±

13.91(+)

78.62±

16.94(+)

77.63±

16.12(+)

76.68±

15.42(+)

78.78±

17.68(+)

84.58±

18.81

TOX_171

48.92±

3.01(+)

61.27±

6.79(-)

57.11±

5.6(=)

54.93±

4.89(+)

53.43±

3.97(+)

60.05±

6.37(-)

59.1±

5.66(-)

57.12±

5.86
SMK_CAN_187

60.76±

2.81(+)

59.76±

2.25(+)

62.39±

1.9(+)

62.71±

2.29(+)

60.53±

2.54(+)

59.72±

2.62(+)

59.4±

2.79(+)

67.32±

2.44

Isolet

46.42±

10.66(+)

60.37±

17.53(-)

53.62±

14.75(+)

53.09±

13.97(+)

45.79±

10.54(+)

58.08±

16.23(-)

52.36±

13.5(+)

55.66±

16.86
USPS

75.53±

15.16(+)

80.56±

17.25(+)

74.36±

15.06(+)

76.97±

15.96(+)

75.88±

14.68(+)

77.48±

15.76(+)

77.97±

16.06(+)

82.41±

17.91

RELATHE

62.94±

3.19(+)

64.95±

4.54(=)

62.05±

3.57(+)

65.27±

4.67(=)

57.89±

2.5(+)

63.46±

3.86(+)

63.23±

4.01(+)

65.06±

5.47

Average 61.14 66.99 61.17 63.60 60.94 64.57 63.84 67.68

Fig.1

Accuracy of classifier achieved with lsolet"

Fig.2

Accuracy of classifier achieved with movement_libras"

Fig.3

Accuracy of classifier achieved with RELATHE"

Fig.4

Accuracy of classifier achieved with Semeion"

Fig.5

Accuracy of classifier achieved with SMK_CAN_187"

Fig.6

Accuracy of classifier achieved with TOX_171"

Fig.7

Accuracy of classifier achieved with USPS"

Fig.8

Accuracy of classifier achieved with WarpPIE10P"

Table 5

Highest average accuracies of three classifiers with eight methods"

Data sets CIFE CMIM DISR mRMR IWFS MRI JMIM NDCSF
Semeion 64.81 75.75 63.28 65.20 63.47 67.53 69.60 78.01
Movement_libras 66.33 71.89 61.89 69.33 67.81 71.85 71.52 72.89
WarpPIE10P 80.33 89.78 80.06 85.11 85.67 83.17 87.06 93.39
TOX_171 59.93 68.15 60.54 59.69 57.63 62.86 59.64 63.98
SMK_CAN_187 66.04 64.61 65.94 65.11 65.36 65.34 64.61 71.32
Isolet 65.24 75.90 64.53 64.96 60.04 73.82 63.35 76.39
USPS 84.46 90.54 83.63 85.96 84.23 85.79 87.46 91.65
RELATHE 66.08 72.76 70.24 73.58 68.91 69.42 70.22 75.46
Average 69.15 76.17 68.76 71.12 69.14 72.47 71.68 77.89
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