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Table 2

Evaluation metrics for all presented models in this work.

Model Loss function Learning rate RMSE (PPF) MAE (PPF) COS CC SSIM
Model 1 (intensity model) MASE 0.01 1.042 0.790 0.997 0.784 0.791
Model 2 (magnetic model) MASE 0.01 0.961 0.745 0.998 0.806 0.799
Model 3 (hybrid model) MASE 0.01 0.842 0.639 0.998 0.851 0.826
FLCT-I / / 1.712 1.339 0.993 0.229 0.655
FLCT-M / / 1.669 1.077 0.995 0.517 0.669
Original DeepVel MSE 0.0001 3.174 2.566 0.980 0.592 0.485
Retrained DeepVel MSE 0.0001 1.505 1.201 0.994 0.533 0.665

Notes. Models 1,2, and 3 are the intensity, magnetic, and hybrid models built on a shallow U-Net architecture. FLCT-I and FLCT-M are the velocity fields derived from the photospheric intensity and vertical magnetic field strength, respectively, using the FLCT method (e.g. Fisher & Welsch 2008). The last two rows are results from the original DeepVel (Asensio Ramos et al. 2017) and the retrained DeepVel (Sect. 4.2). See the main text for the definition of the loss functions and evaluation metrics.

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