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Table 2 Results of the Bayesian hyper-parameter optimization. The values marked with “\(^*\)” were not optimized, since the \(\delta\) parameters are only used in the models that implement the convolutional loss (\(\mathcal {L}_C\))

From: Improving MR image quality with a multi-task model, using convolutional losses

Hyper-p.

Models

Bias

Subsampling

Motion

Noise

MT

MT+\(\mathcal {L}_C\)

Pelvis MT+\(\mathcal {L}_C\)

Optim.

RMSprop

RMSprop

RMSprop

RMSprop

RMSprop

RMSprop

RMSprop

L.r., \(10^{\gamma }\)

\(-3.79\)

\(-4.39\)

\(-4.17\)

\(-4.06\)

\(-3.73\)

\(-3.91\)

\(-3.88\)

\(\alpha\)

0.60

0.48

0.59

0.85

0.51

0.87

0.89

\(\delta _{E}\)

\(1^*\)

\(1^*\)

\(1^*\)

\(1^*\)

\(1^*\)

0.30

0.13

\(\delta _{PT}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.83

0.23

\(\delta _{PR}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.25

0.03

\(\delta _{S3T}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.74

0.84

\(\delta _{S3R}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.30

0.23

\(\delta _{S5T}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.21

0.14

\(\delta _{S5R}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.72

0.91

\(\delta _{L3}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.09

0.38

\(\delta _{L5}\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

\(0^*\)

0.82

0.77