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[Preprint]. 2023 Nov 21:arXiv:2311.11819v2. [Version 2]

Table II.

ESTIMATED EVALUATION METRICS ACROSS ISOLATED, COMBINED BASELINE AND ENSEMBLE MODELS WITH TWO BASE LEARNERS EACH.

Metric Model Aorta Cerebral Cardiac Average
RE ↓ 4DFlowNet-Aorta 12.36% 34.46% 36.99% 27.94%
4DFlowNet-Cerebral 49.65% 29.58% 69.81% 49.68%
4DFlowNet-Cardiac 36.22% 37.15% 33.02% 35.47%
Baseline Combined 10.20% 27.51% 31.25% 22.99%
Bagging-2 10.62% 29.54% 30.73% 23.63%
Stacking-2 10.07% 24.46% 32.20% 22.25%
RMSE ↓ 4DFlowNet-Aorta (1.58, 0.53, 0.73) (1.65, 1.58, 1.62) (2.12, 1.59, 1.98) (1.78, 1.23, 1.44)
4DFlowNet-Cerebral (34.01, 35.74, 30.80) (1.04, 0.90, 0.94) (38.18, 40.06, 35.35) (24.41, 25.57, 22.36)
4DFlowNet-Cardiac (4.74, 1.98, 2.22) (1.76, 1.63, 1.75) (2.34, 1.54, 2.13) (2.95, 1.72, 2.03)
Baseline Combined (1.22, 0.45, 0.60) (1.05, 0.83, 0.91) (2.23, 1.43, 1.94) (1.50, 0.90, 1.15)
Bagging-2 (1.42, 0.50, 0.65) (1.07, 0.92, 0.98) (2.33, 1.50, 2.00) (1.61, 0.97, 1.21)
Stacking-2 (1.29, 0.40, 0.53) (0.81, 0.80, 0.75) (2.09, 1.62, 1.87) (1.39, 0.94, 1.05)
k 4DFlowNet-Aorta (0.961, 0.969, 1.012) (0.822, 0.841, 0.856) (0.862, 0.816, 0.761) (0.882, 0.875, 0.876)
4DFlowNet-Cerebral (0.560, 0.578, 0.587) (0.902, 0.890, 0.912) (0.770, 0.668, 0.672) (0.744, 0.712, 0.724)
4DFlowNet-Cardiac (0.610, 0.371, 0.572) (0.834, 0.758, 0.744) (0.842, 0.853, 0.726) (0.762, 0.661, 0.681)
Combined (0.994, 0.964, 0.948) (0.917, 0.927, 0.899) (0.882, 0.863, 0.782) (0.931, 0.918, 0.876)
Bagging-2 (1.004, 0.960, 0.984) (0.916, 0.900, 0.889) (0.898, 0.872, 0.843) (0.939, 0.911, 0.905)
Stacking-2 (0.968, 0.975, 1.003) (0.923, 0.933, 0.933) (0.850, 0.856, 0.805) (0.914, 0.921, 0.914)
R2 4DFlowNet-Aorta (0.978, 0.967, 0.974) (0.881, 0.865, 0.852) (0.858, 0.834, 0.762) (0.906, 0.889, 0.863)
4DFlowNet-Cerebral (0.705, 0.492, 0.586) (0.881, 0.895, 0.880) (0.405, 0.226, 0.256) (0.664, 0.538, 0.574)
4DFlowNet-Cardiac (0.929, 0.533, 0.831) (0.861, 0.854, 0.821) (0.847, 0.868, 0.764) (0.879, 0.752, 0.805)
Combined (0.987, 0.977, 0.981) (0.891, 0.919, 0.889) (0.874, 0.893, 0.794) (0.917, 0.930, 0.888)
Bagging-2 (0.984, 0.972, 0.979) (0.886, 0.900, 0.881) (0.874, 0.875, 0.798) (0.915, 0.916, 0.886)
Stacking-2 (0.985, 0.981, 0.985) (0.938, 0.920, 0.925) (0.884, 0.847, 0.813) (0.936, 0.916, 0.908)

Each metric’s best value is highlighted in bold. Arrows indicate direction of improvement. RMSE given in cm/s. RMSE, k and R2 given by vx,vy,vz.