Table 10 Results of CEC 2019 functions.

From: Improved optimization based on parrot’s chaotic optimizer for solving complex problems in engineering and medical image segmentation

Algorithms

Metric

CEC19_F1

CEC19_F2

CEC19_F3

CEC19_F4

CEC19_F5

CEC19_F6

CEC19_F7

CEC19_F8

CEC19_F9

CEC19_F10

PO

Mean

−1.4421e−05

1.4395e−17

−0.77064

14.8703

10.7615

−18.6303

9.72167

8.48168

−15.4011

18.2669

Std

0.0001318

6.3651e−33

2.0341

66.804

47.0922

29.296

7.9299

5.1851

34.2397

49.1695

Rank

5

4

3

6

7

5

9

5

9

8

CPO-1

Mean

9.6185e−09

1.4688e−16

0.45518

24.5051

10.8906

10.8981

34.3927

16.6831

−17.8751

39.1175

Std

4.7975e−08

2.4891e−16

0.62094

30.1505

45.8966

17.6332

10.7556

43.047

39.497

49.4499

Rank

8

11

9

9

8

11

10

7

5

11

CPO-2

Mean

0.0047907

9.6469e−17

−1.7558

7.4363

12.0025

−31.2535

−3.3884

−28.3466

−15.3296

7.2812

Std

0.075369

5.8063e−17

0.59231

56.9606

45.4242

34.3121

55.8134

53.2445

33.9645

23.1011

Rank

11

9

2

3

11

2

7

2

10

7

CPO-3

Mean

−0.018718

3.0574e−17

−0.42849

1.2551

7.8965

−37.6466

−22.5231

13.1094

−16.0781

−7.7332

Std

0.26323

5.4955e−16

0.46178

48.1826

46.7797

32.6248

40.0617

40.0217

36.3928

15.7479

Rank

2

5

5

2

2

1

3

6

8

5

CPO-4

Mean

−2.2782e−07

3.5727e−17

2.0201

28.731

11.3389

−0.68725

0.61872

32.1041

−18.1124

−8.3993

Std

1.056e−06

8.0033e−17

0.51495

17.0992

46.0617

19.7452

20.8545

7.0504

36.219

3.5024

Rank

6

6

10

10

10

8

8

9

3

4

CPO-5

Mean

−0.010479

6.8498e−17

−0.63014

14.3377

10.5346

0.59568

−22.8242

16.7631

−20.7252

30.1472

Std

0.064146

1.0106e−16

0.56468

26.5337

47.5558

28.8494

61.2904

41.006

34.7124

31.3459

Rank

3

8

4

5

5

9

2

8

1

10

CPO-6

Mean

0.0013898

−1.8883e−17

2.0756

29.0599

10.5834

−22.4047

−51.9562

35.3128

−18.0819

−16.5002

Std

0.17436

1.4923e−17

0.5214

21.4452

46.1511

34.1659

44.4209

23.8749

39.0759

77.1806

Rank

10

2

11

11

6

3

1

11

4

3

CPO-7

Mean

−0.0015885

9.7914e−17

0.1464

7.7176

10.2131

−22.0189

−8.0933

−9.5645

−16.4039

−30.2417

Std

0.012586

4.4065e−16

1.6409

40.664

43.6067

16.641

68.3027

58.8978

35.8648

46.3466

Rank

4

10

7

4

4

4

6

3

7

1

CPO-8

Mean

0.0002713

4.3603e−17

0.34952

19.3152

11.2167

8.0172

47.053

34.5212

−7.2038

−17.0189

Std

0.0038359

2.6555e−17

0.61942

27.7764

46.6995

30.6735

86.3798

34.7371

43.4636

91.9251

Rank

9

7

8

8

9

10

11

10

11

2

CPO-9

Mean

−7.1884e−10

−1.2221e−17

0.13356

14.969

10.1664

−12.1242

−22.3098

1.3245

−17.8068

3.3863

Std

3.907e−09

5.0735e−

0.48765

62.302

46.9388

21.7345

56.5402

35.3873

35.5988

65.356

Rank

7

3

6

7

3

7

4

4

6

6

CPO-10

Mean

−3.8084

−0.51457

−6.8587

−13.7237

−13.739

−16.5766

−12.0213

−50.134

−18.6661

23.7653

Std

81.7529

73.1987

79.1661

76.8561

65.2286

54.6045

71.8958

65.7164

59.5177

41.5521

Rank

1

1

1

1

1

6

5

1

2

9