Skip to main content
. 2021 Dec 17;12:782176. doi: 10.3389/fphys.2021.782176

Table 1.

Evaluation of phase singularity (PS) prediction on simulated electrical spiral wave chaos without (σ = 0) and with noise (σ = 0.3) for the different models M1, M1A, M1B.

Model M1 M1A M1B
Noise σ = 0 σ = 0.3 σ = 0 σ = 0.3 σ = 0 σ = 0.3
Precision 97.2 % 96.2 % 97.2 % 97.2 % 86.7 % 82.1 %
Recall 95.7 % 93.1 % 96.4 % 85.9 % 86.4 % 84.3 %
F-score 96.5 % 94.6 % 96.8 % 91.2 % 86.5 % 83.1 %
MAE 0.2 0.2 0.2 0.5 0.4 0.5
MAHD 2.3 px 3.1 px 2.0 px 5.0 px 4.0 px 6.6 px
MAHD 1.4 px 1.8 px 1.4 px 3.1 px 2.4 px 3.6 px

PS predictions were performed from 5 excitation frames and are shown in Figure 9. MAE is the mean absolute error of the number of predicted PS, MAHD is the mean average Hausdorff distance. The test dataset contains 5, 000 frames with 17, 360 PS in total, however 420 frames contain no ground truth PS. If the model predicts any PS for a frame which contains no ground truth PS—or if no PS are predicted for a sample which does contain ground truth PS—we assign a maximum average Hausdorff distance (181 px) for the computation of the MAHD. This skews the MAHD significantly. Accordingly, MAHD is the MAHD when we ignore these samples.