2021
DOI: 10.1016/j.media.2021.102047
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Two-stage deep learning for accelerated 3D time-of-flight MRA without matched training data

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Cited by 19 publications
(13 citation statements)
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“…Therefore, we need to train the reconstruction network such that the network learns the inverse mapping with respect to the forward operation T n F L ψ . For training, we utilize physics-informed OT-cycleGAN, which was shown to be especially effective for MRI reconstruction (Oh et al, 2020b;Chung et al, 2021;. Specifically, let X and Z denote the domains for the motion artifact free high resolution images and the aliased images from the forward operation in (8), respectively.…”
Section: Bootstrap Aggregation For Artifact Correction and Super Reso...mentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, we need to train the reconstruction network such that the network learns the inverse mapping with respect to the forward operation T n F L ψ . For training, we utilize physics-informed OT-cycleGAN, which was shown to be especially effective for MRI reconstruction (Oh et al, 2020b;Chung et al, 2021;. Specifically, let X and Z denote the domains for the motion artifact free high resolution images and the aliased images from the forward operation in (8), respectively.…”
Section: Bootstrap Aggregation For Artifact Correction and Super Reso...mentioning
confidence: 99%
“…where Π(µ, ν) denotes the set of the joint distribution whose marginals are µ and ν. The geometric meaning of (10) was discussed in detail in (Oh et al, 2020b;Chung et al, 2021;, which aims to minimize the statistical distances between transported and the empirical measures in X and Z simultaneously. Furthermore, the primal formulation of the unsupervised learning in (10) can be represented by a dual formulation:…”
Section: Bootstrap Aggregation For Artifact Correction and Super Reso...mentioning
confidence: 99%
“…In many inverse problems, additional regularization is often used. For example, one could use the following [23], [24]:…”
Section: A Derivation Of Cycle-free Cycleganmentioning
confidence: 99%
“…Note that the first two terms in ( 15) are computed by using both x and y, whereas the last term is only with respect to y. From the optimal transport perspective, this makes a huge differences, since the computation of the last term is trivial whereas the first term requires the dual formulation [23], [24]. One of the most important contributions of our companion paper [10] is to show that the primal formulation of the unsupervised learning in (13) with the transport cost (15) can be represented by:…”
Section: A Derivation Of Cycle-free Cycleganmentioning
confidence: 99%
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