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. Author manuscript; available in PMC: 2024 Nov 1.
Published in final edited form as: Int J Radiat Oncol Biol Phys. 2023 Jul 13;117(3):738–749. doi: 10.1016/j.ijrobp.2023.03.078

Table 1a:

Segmentation results for each structure averaged over the 8 test patients. We provide the standard deviation and range of the results. The best performance for each metric is in bold.

Model Metric GTV G. maximus G. medius G. minimus Paraspinal Piriformis
3D U-Net Dice VDSC 82.8 ± 5.7 (73.6,90.1) 93.9 ± 1.5 (91.3,95.8) 92.3 ± 0.8 (91.2,93.4) 84.3 ± 2.5 (79.5,88.8) 90.6 ± 1.1 (88.4,91.9) 74.7 ± 7.3 (62.6,84.5)
3D U-Net Cross-entropy 82.7 ± 6.6 (70.0,89.6) 93.6 ± 2.0 (89.4,95.8) 91.6 ± 1.0 (90.3,93.0) 84.1 ± 2.3 (80.5,87.4) 91.8 ± 0.8 (90.5,92.9) 73.6 ± 6.4 (58.0,79.4)
3D U-Net Weighted cross-entropy 79.3 ± 11.2 (52.2,88.8) 93.5 ± 1.7 (90.7,95.4) 91.7 ± 1.0 (89.9,93.2) 82.9 ± 2.1 (79.1,86.2) 91.2 ± 3.1 (83.6,94.3) 68.9 ± 7.5 (52.2,77.5)
Residual 3D U-Net Dice 81.8 ± 14.7 (43.8,91.0) 94.0 ± 1.7 (90.7,96.0) 92.1 ± 1.1 (90.3,93.4) 83.3 ± 2.6 (79.1,86.5) 90.7 ± 3.0 (83.1,93.0) 77.1 ± 6.1 (68.9,84.5)
Residual 3D U-Net Cross-entropy 83.1 ± 7.1 (71.1,91.4) 93.1 ± 2.6 (87.0,95.6) 90.2 ± 1.6 (87.6,92.4) 80.7 ± 5.2 (70.4,88.0) 91.3 ± 1.8 (87.2,93.8) 72.2 ± 9.3 (49.3,81.9)
Residual 3D U-Net Weighted Cross-entropy 83.4 ± 8.2 (64.7,90.0) 94.0 ± 1.5 (91.0,95.5) 91.4 ± 1.1 (89.5,92.7) 82.8 ± 2.8 (78.6,86.6) 91.5 ± 2.6 (85.6,93.8) 74.5 ± 5.2 (65.9,81.5)
Average Ensemble 85.1 ± 6.5 (70.5,91.5) 94.4 ± 1.6 (91.3,96.1) 92.6 ± 0.9 (91.1,93.7) 85.0 ± 2.7 (81.4,90.1) 92.2 ± 1.3 (89.3,93.3) 77.7 ± 5.4 (66.5,84.9)
Optimal Ensemble 85.5 ± 6.4 (70.7,91.5) 94.4 ± 1.5 (91.6,95.9) 92.6 ± 0.9 (91.1,93.7) 85.0 ± 2.7 (81.7,89.9) 92.1 ± 1.5 (88.6,93.4) 78.3 ± 5.7 (67.4,85.3)
3D U-Net Dice SDSC 2 mm 61.0 ± 7.5 (49.0,70.2) 90.4 ± 5.0 (80.8,96.6) 91.2 ± 2.2 (86.4,93.9) 86.6 ± 5.1 (77.8,94.3) 88.2 ± 3.5 (82.7,93.8) 80.5 ± 8.7 (63.0,91.9)
3D U-Net Cross-entropy 60.2 ± 8.7 (49.1,73.7) 89.1 ± 5.6 (77.2,93.9) 89.3 ± 2.4 (85.1,93.3) 86.6 ± 3.8 (80.1,91.4) 90.8 ± 4.1 (83.6,96.8) 75.9 ± 8.6 (56.9,86.0)
3D U-Net Weighted cross-entropy 53.4 ± 12.9 (30.6,73.7) 88.6 ± 5.2 (79.7,96.8) 89.3 ± 2.9 (82.3,91.8) 84.3 ± 3.6 (78.2,89.8) 90.3 ± 3.8 (84.3,95.8) 71.5 ± 8.8 (52.0,82.2)
Residual 3D U-Net Dice 61.1 ± 16.9 (21.1,79.5) 90.4 ± 5.9 (77.3,97.1) 90.3 ± 1.9 (87.2,92.7) 85.7 ± 4.0 (78.0,92.1) 88.8 ± 3.8 (82.2,94.2) 81.6 ± 7.8 (71.1,90.8)
Residual 3D U-Net Cross-entropy 62.1 ± 13.4 (35.4,77.7) 87.8 ± 7.6 (69.9,94.5) 84.0 ± 4.0 (78.4,91.6) 82.3 ± 8.5 (63.2,93.5) 90.5 ± 2.9 (85.5,93.8) 72.2 ± 10.8 (46.8,85.5)
Residual 3D U-Net Weighted Cross-entropy 62.3 ± 10.5 (47.9,74.5) 90.9 ± 4.7 (81.6,96.5) 88.3 ± 3.1 (82.7,92.2) 85.1 ± 5.1 (74.1,91.9) 90.7 ± 4.1 (81.3,95.1) 77.9 ± 6.9 (67.9,88.0)
Average Ensemble 65.3 ± 9.1 (54.1,80.5) 91.9 ± 5.1 (80.9,96.8) 91.9 ± 2.5 (86.2,94.5) 88.2 ± 5.1 (77.5,96.1) 92.1 ± 2.5 (86.5,95.2) 82.5 ± 7.2 (67.5,92.5)
Optimal Ensemble 66.2 ± 9.1 (55.1,81.6) 92.2 ± 4.8 (82.0,97.0) 91.9 ± 2.4 (86.6,94.9) 88.3 ± 5.1 (77.4,95.7) 92.0 ± 2.7 (85.6,95.2) 83.9 ± 7.5 (69.5,93.9)
3D U-Net Dice SDSC 3 mm 68.1 ± 7.1 (57.0,78.0) 94.1 ± 3.8 (86.3,98.1) 95.4 ± 1.8 (91.3,97.5) 91.0 ± 4.0 (84.1,96.9) 93.1 ± 3.0 (87.1,97.1) 86.0 ± 8.0 (69.4,95.4)
3D U-Net Cross-entropy 68.0 ± 8.1 (57.9,81.0) 93.3 ± 4.7 (82.1,96.6) 94.4 ± 2.0 (90.5,97.5) 91.1 ± 3.4 (85.6,95.6) 94.8 ± 2.7 (89.8,98.5) 82.3 ± 8.1 (63.4,90.1)
3D U-Net Weighted cross-entropy 62.0 ± 13.6 (36.0,81.4) 92.9 ± 4.3 (84.4,98.8) 94.4 ± 2.3 (88.5,96.4) 89.4 ± 2.9 (85.1,94.5) 94.3 ± 2.9 (89.3,98.2) 79.3 ± 9.3 (58.0,90.5)
Residual 3D U-Net Dice 68.4 ± 17.5 (25.3,86.2) 94.2 ± 4.6 (83.4,98.5) 94.4 ± 1.6 (91.2,96.0) 90.1 ± 3.6 (82.9,95.8) 92.6 ± 3.1 (87.9,96.2) 87.1 ± 6.7 (77.8,95.3)
Residual 3D U-Net Cross-entropy 69.6 ± 12.3 (44.2,83.5) 92.0 ± 6.7 (75.3,97.1) 89.7 ± 3.5 (83.7,95.1) 87.4 ± 7.4 (70.3,96.4) 94.5 ± 1.9 (91.3,97.1) 78.5 ± 9.9 (54.6,89.4)
Residual 3D U-Net Weighted Cross-entropy 71.0 ± 10.2 (56.1,83.4) 94.6 ± 3.8 (86.0,98.4) 93.4 ± 2.6 (88.2,96.0) 89.6 ± 4.7 (79.7,95.6) 94.5 ± 3.1 (87.4,97.3) 85.3 ± 6.6 (75.5,94.0)
Average Ensemble 72.9 ± 7.9 (63.5,85.8) 95.3 ± 4.1 (85.4,98.7) 95.9 ± 2.0 (90.8,97.4) 91.9 ± 4.2 (82.9,98.2) 95.7 ± 1.8 (91.5,97.3) 87.9 ± 6.6 (73.5,96.1)
Optimal Ensemble 73.7 ± 7.7 (63.3,85.9) 95.5 ± 3.7 (86.9,98.6) 95.8 ± 2.0 (91.0,97.6) 92.0 ± 4.3 (82.6,97.8) 95.5 ± 1.9 (91.0,97.3) 89.0 ± 6.9 (75.1,97.2)
3D U-Net Dice ASSD 3.7 ± 1.4 (2.1,6.3) 1.2 ± 0.5 (0.6,2.2) 0.9 ± 0.1 (0.8,1.1) 1.2 ± 0.3 (0.8,1.6) 1.1 ± 0.2 (0.6,1.4) 1.9 ± 0.9 (0.9,3.3)
3D U-Net Cross-entropy 3.3 ± 0.9 (2.1,4.7) 1.4 ± 1.0 (0.7,3.9) 1.0 ± 0.1 (0.9,1.2) 1.2 ± 0.3 (0.9,1.7) 0.9 ± 0.3 (0.5,1.4) 2.3 ± 1.0 (1.4,4.6)
3D U-Net Weighted cross-entropy 4.7 ± 3.4 (1.9,13.4) 1.5 ± 0.8 (0.6,3.5) 1.0 ± 0.1 (0.9,1.3) 1.4 ± 0.2 (1.0,1.8) 1.0 ± 0.3 (0.6,1.4) 2.6 ± 1.5 (1.3,6.4)
Residual 3D U-Net Dice 5.0 ± 6.1 (1.6,20.9) 1.2 ± 0.9 (0.6,3.5) 1.0 ± 0.1 (0.8,1.1) 1.3 ± 0.2 (0.9,1.6) 1.0 ± 0.2 (0.6,1.3) 1.6 ± 0.6 (0.9,2.6)
Residual 3D U-Net Cross-entropy 3.5 ± 2.1 (1.9,8.3) 1.7 ± 1.8 (0.7,6.4) 1.3 ± 0.2 (0.9,1.6) 1.5 ± 0.6 (0.8,2.7) 0.9 ± 0.1 (0.8,1.1) 3.4 ± 1.2 (2.2,6.0)
Residual 3D U-Net Weighted Cross-entropy 3.0 ± 0.9 (1.8,4.3) 1.1 ± 0.6 (0.6,2.5) 1.1 ± 0.2 (0.9,1.4) 1.3 ± 0.3 (0.9,1.8) 0.9 ± 0.2 (0.7,1.3) 1.8 ± 0.6 (1.1,2.6)
Average Ensemble 2.7 ± 0.8 (1.6,3.7) 1.1 ± 0.7 (0.6,2.9) 0.9 ± 0.1 (0.7,1.1) 1.1 ± 0.3 (0.6,1.6) 0.8 ± 0.2 (0.6,1.1) 1.6 ± 0.7 (0.9,3.2)
Optimal Ensemble 2.6 ± 0.8 (1.5,3.6) 1.0 ± 0.4 (0.6,2.0) 0.9 ± 0.1 (0.7,1.1) 1.1 ± 0.3 (0.6,1.6) 0.8 ± 0.2 (0.6,1.1) 1.5 ± 0.6 (0.8,2.9)