2018 24th International Conference on Pattern Recognition (ICPR) 2018
DOI: 10.1109/icpr.2018.8545553
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Precision Learning: Towards Use of Known Operators in Neural Networks

Abstract: In this paper, we consider the use of prior knowledge within neural networks. In particular, we investigate the effect of a known transform within the mapping from input data space to the output domain. We demonstrate that use of known transforms is able to change maximal error bounds.In order to explore the effect further, we consider the problem of X-ray material decomposition as an example to incorporate additional prior knowledge. We demonstrate that inclusion of a non-linear function known from the physic… Show more

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Cited by 31 publications
(33 citation statements)
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“…Also other physical processes have been investigated using deep learning. In [60] a material decomposition using deep learning embedding prior physical operators using precision learning is proposed. Also physically less plausible interrelations are attempted.…”
Section: Physical Simulationmentioning
confidence: 99%
“…Also other physical processes have been investigated using deep learning. In [60] a material decomposition using deep learning embedding prior physical operators using precision learning is proposed. Also physically less plausible interrelations are attempted.…”
Section: Physical Simulationmentioning
confidence: 99%
“…As the method allows considering arbitrary orbital angulations of the x‐ray source, tracking of the dose administered over the course of a procedure is possible, therefore allowing for an advanced monitoring of distribution of cumulative dose deposited in the patients skin. Furthermore, implementation of the RC simulation as a known operator in the neural network is conceivable . To increase the overall performance of the dose regression, various existing strategies could be tested.…”
Section: Discussionmentioning
confidence: 99%
“…Furthermore, implementation of the RC simulation as a known operator in the neural network is conceivable. 43 To increase the overall performance of the dose regression, various existing strategies could be tested. On the one hand, the spatial connectivity between different slices of the same anatomic site can be established by using 3D convolutions or a conditional random field.…”
Section: Discussionmentioning
confidence: 99%
“…We adopt generalized max pooling as a trainable neural network layer following the known-operator paradigm [30]. This allows for an end-to-end training given images and a loss function, such as softmax or triplet loss.…”
Section: B Deep Gmp Layermentioning
confidence: 99%