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      Model-Based Learning for Accelerated, Limited-View 3-D Photoacoustic Tomography

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          Abstract

          Recent advances in deep learning for tomographic reconstructions have shown great potential to create accurate and high quality images with a considerable speed up. In this paper, we present a deep neural network that is specifically designed to provide high resolution 3-D images from restricted photoacoustic measurements. The network is designed to represent an iterative scheme and incorporates gradient information of the data fit to compensate for limited view artifacts. Due to the high complexity of the photoacoustic forward operator, we separate training and computation of the gradient information. A suitable prior for the desired image structures is learned as part of the training. The resulting network is trained and tested on a set of segmented vessels from lung computed tomography scans and then applied to in-vivo photoacoustic measurement data.

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          Compressed sensing

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            Adam: A Method for Stochastic Optimization

            We introduce Adam, an algorithm for first-order gradient-based optimization of stochastic objective functions, based on adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient, has little memory requirements, is invariant to diagonal rescaling of the gradients, and is well suited for problems that are large in terms of data and/or parameters. The method is also appropriate for non-stationary objectives and problems with very noisy and/or sparse gradients. The hyper-parameters have intuitive interpretations and typically require little tuning. Some connections to related algorithms, on which Adam was inspired, are discussed. We also analyze the theoretical convergence properties of the algorithm and provide a regret bound on the convergence rate that is comparable to the best known results under the online convex optimization framework. Empirical results demonstrate that Adam works well in practice and compares favorably to other stochastic optimization methods. Finally, we discuss AdaMax, a variant of Adam based on the infinity norm. Published as a conference paper at the 3rd International Conference for Learning Representations, San Diego, 2015
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              Stable signal recovery from incomplete and inaccurate measurements

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                Author and article information

                Contributors
                Journal
                8310780
                IEEE Trans Med Imaging
                IEEE Trans Med Imaging
                IEEE transactions on medical imaging
                0278-0062
                1558-254X
                01 June 2018
                30 September 2022
                08 October 2022
                : 37
                : 6
                : 1382-1393
                Affiliations
                the Department of Computer Science, University College London, London WC1E 6BT, U.K.
                the Department of Computer Science, University College London, London WC1E 6BT, U.K., and also with the Centrum Wiskunde & Informatica, 1098 XG Amsterdam, The Netherlands
                the Department of Computer Science, University College London, London WC1E 6BT, U.K.
                the Department of Medical Physics and Biomedical Engineering, University College London, London WC1E 6BT, U.K.
                the Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden, and also with Elekta, 103 93 Stockholm, Sweden
                the Department of Medical Physics and Biomedical Engineering, University College London, London WC1E 6BT, U.K.
                the Department of Medical Physics and Biomedical Engineering, University College London, London WC1E 6BT, U.K.
                the Department of Computer Science, University College London, London WC1E 6BT, U.K.
                the Department of Computer Science, University College London, London WC1E 6BT, U.K.
                Author notes
                Corresponding author: Andreas Hauptmann.
                Author information
                https://orcid.org/0000-0002-3756-8121
                https://orcid.org/0000-0001-9928-3407
                Article
                EMS155144
                10.1109/TMI.2018.2820382
                7613684
                29870367
                34245097-5930-490e-af64-6fb06f29b238

                This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see https://creativecommons.org/licenses/by/3.0/

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                Categories
                Article

                deep learning,convolutional neural networks,photoacoustic tomography,iterative reconstruction

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