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Mean absolute error (MAE) and mean relative error (MRE)

GX Guoping Xu
YR Yogesh Rathi
JC Joan A. Camprodon
HC Hanqiang Cao
LN Lipeng Ning
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The mean absolute error (MAE) was defined as the absolute value of the difference between the predicted E-field magnitude and the reference. The mean relative error (MRE) was defined as the ratio between MAE and the reference E-field magnitude within the corresponding target region. Here, MRE was only computed within the target region to avoid singularity when computing the ratio.

where K denotes the number of vertices on brain surfaces.

Normalized root-mean-square error (NRMSE): To compare the vector E-field in volume space, we computed the NRMSE measure [42] using the method below

where N denotes the number of voxels. We computed the NRMSE measure using the whole-brain E-field as well as the target region that contained the 5% voxels around the peak of the reference E-field.

Copyright and License information:  ©2021 Xu et al ©2021 Dzung PhamThis is an open access article distributed under the terms of the , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. ©2021 Dzung PhamThis is an open access article distributed under the terms of the , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. ©2021 Dzung PhamThis is an open access article distributed under the terms of the , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. ©2021 Dzung PhamThis is an open access article distributed under the terms of the , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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