Table 3 Comparison of dice, focal, and cross-entropy loss and their effect on the performance of the network (Dense-2 U-net).

From: Automatic prostate and prostate zones segmentation of magnetic resonance images using DenseNet-like U-net

Loss function

MDS%

StD(%)

MeDS(%)

MHD (mm)

Cross-entropy (PR)

92.1

±3

92.2

11.3

Focal (PR)

91.1

±4

91.2

11.6

Dice (PR)

91.5

±3

91.2

11.5

Dice + Cross-entropy (PR)

92.0

±3.3

92.0

10.3

Dice + Focal + Cross-entropy (PR)

91.7

±3.9

92.1

11.1

Cross-entropy (CZ)

89.5

±7

89.4

6.1

Focal (CZ)

88.5

±5

88.4

7.6

Dice (CZ)

88.2

±5

86.9

7.7

Dice + Cross-entropy (CZ)

89.2

±5

88.9

6.5

Dice + Focal + Cross-entropy (CZ)

88.6

±6

88.6

7.2

Cross-entropy (PZ)

78.1

±9

79.5

20.8

Focal (PZ)

74.4

±11

75.5

17.8

Dice (PZ)

73.4

±11

74.8

19.4

Dice + Cross-entropy (PZ)

78.1

±10

76.8

23.4

Dice + Focal + Cross-entropy (PZ)

77.2

±8.2

76.1

23.7