Deliverables
Report on applying dictionary learning on manifolds developed in DEDALE in combination with interpolation methods which are used extensively by the UCL group (e.g neural networks and Gaussian processes) to build a model for the Euclid PSF.
Report on optimization methods for signal restoration with manifold-valued representations: designing and implementing algorithms to solve linear inverse problems with non-linear signal representations; The case of non-linear and potentially non-convex problems will be discussed.
Report on the development of adapted multiscale transforms. The final learned dictionary is restricted to a class of dictionaries generated from a structured dictionary such as shearlet. Existence of fast transform/reconstruction will be discussed.
Report on Non-linear learning on complex imaging data: learning representations for data lying on unknown low-dimensional manifolds. The use of deep learning architectures like stacked sparse autoencoders will be particularly studied in this task.
Evaluation of cutting edge distributed processing platforms, such as GraphLab, Mahout and MLI, for benchmarking large-scale test sets for machine learning. Real time parallel processing considerations will be actively taken under account into this task.
Report on building upon proximal methods and problem splitting techniques to design highly-parallelizable sparse solvers (e.g. sparse/low-rank multivariate signal decompositions.)
Report on the development of a dictionary learning based method for spectroscopic and photometric redshift estimation of Euclid data.
Report on Dictionary Learning on multi-valued data. The case of multi-channel polarized data on the sphere will be considered.
Report on the development of dedicated solvers for the recovery of multivariate signals with adapted sparse priors, either in fixed representations from Task 2.1 or learnt representations from task 2.2. Convergence and Computation time will be discussed.
Development of a numerical toolbox and benchmark test set. The code will be in Python and/orC++. The algorithms related to tasks 3.1 and 3.2 will be included in the toolbox, and benchmark data will also be joined to the toolbox for test and evaluation.
Toolbox for parallel linear and non-linear sparsity based learning architectures.
Report on using dictionary methods for 2D and 3D mass mapping from weak lensing data. Data available in the framework of the Open Research Data Pilot concept.
Realization of web site, contains informations about the project (publications, technical notes, etc).
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Publications
Author(s): J. Bobin, F. Sureau, J.-L. Starck
Published in: Astronomy & Astrophysics, 591, 2016, Page(s) A50, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201527822
Author(s): Jean-Luc Starck
Published in: Journal of Physics: Conference Series, 699, 2016, Page(s) 012010, ISSN 1742-6588
Publisher: Institute of Physics
DOI: 10.1088/1742-6596/699/1/012010
Author(s): F. Lanusse, J.-L. Starck, A. Leonard, S. Pires
Published in: Astronomy & Astrophysics, 591, 2016, Page(s) A2, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201628278
Author(s): F. Ngolé, J.-L. Starck
Published in: SIAM Journal on Imaging Sciences, 10/3, 2017, Page(s) 1549-1578, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1093677
Author(s): Philipp Grohs, Sandra Keiper, Gitta Kutyniok, Martin Schäfer
Published in: Applied and Computational Harmonic Analysis, 41/1, 2016, Page(s) 297-336, ISSN 1063-5203
Publisher: Academic Press
DOI: 10.1016/j.acha.2015.10.009
Author(s): Austin Peel, François Lanusse, Jean-Luc Starck
Published in: The Astrophysical Journal, 847/1, 2017, Page(s) 23, ISSN 1538-4357
Publisher: IOPScience
DOI: 10.3847/1538-4357/aa850d
Author(s): S. Farrens, F. M. Ngolè Mboula, J.-L. Starck
Published in: Astronomy & Astrophysics, 601, 2017, Page(s) A66, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201629709
Author(s): Grigorios Tsagkatakis, Baltasar Beferull-Lozano, Panagiotis Tsakalides
Published in: EURASIP Journal on Advances in Signal Processing, 2016/1, 2016, ISSN 1687-6180
Publisher: springer
DOI: 10.1186/s13634-016-0360-0
Author(s): Konstantinos Karalas, Grigorios Tsagkatakis, Michael Zervakis, Panagiotis Tsakalides
Published in: IEEE Transactions on Geoscience and Remote Sensing, 54/6, 2016, Page(s) 3548-3563, ISSN 0196-2892
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/TGRS.2016.2520203
Author(s): Sofia Savvaki, Grigorios Tsagkatakis, Athanasia Panousopoulou, Panagiotis Tsakalides
Published in: IEEE Journal of Biomedical and Health Informatics, 21/6, 2017, Page(s) 1554-1561, ISSN 2168-2194
Publisher: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/JBHI.2017.2716112
Author(s): Sandra Keiper, Gitta Kutyniok, Dae Gwan Lee, Götz E. Pfander
Published in: Linear Algebra and its Applications, 532, 2017, Page(s) 570-613, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/j.laa.2017.07.006
Author(s): Morgan A. Schmitz, Matthieu Heitz, Nicolas Bonneel, Fred Ngolè, David Coeurjolly, Marco Cuturi, Gabriel Peyré, Jean-Luc Starck
Published in: SIAM Journal on Imaging Sciences, 11/1, 2018, Page(s) 643-678, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17M1140431
Author(s): Rafael Reisenhofer, Sebastian Bosse, Gitta Kutyniok, Thomas Wiegand
Published in: Signal Processing: Image Communication, 61, 2018, Page(s) 33-43, ISSN 0923-5965
Publisher: Elsevier BV
DOI: 10.1016/j.image.2017.11.001
Author(s): J. Frontera-Pons, F. Sureau, J. Bobin, E. Le Floc’h
Published in: Astronomy & Astrophysics, 603, 2017, Page(s) A60, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201630240
Author(s): Philipp Petersen, Felix Voigtlaender
Published in: Neural Networks, 108, 2018, Page(s) 296-330, ISSN 0893-6080
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.neunet.2018.08.019
Author(s): F Ngolè, J-L Starck, K Okumura, J Amiaux, P Hudelot
Published in: Inverse Problems, 32/12, 2016, Page(s) 124001, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/0266-5611/32/12/124001
Author(s): Austin Peel, Valeria Pettorino, Carlo Giocoli, Jean-Luc Starck, Marco Baldi
Published in: Astronomy & Astrophysics, 619, 2018, Page(s) A38, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201833481
Author(s): Austin Peel, Chieh-An Lin, François Lanusse, Adrienne Leonard, Jean-Luc Starck, Martin Kilbinger
Published in: Astronomy & Astrophysics, 599, 2017, Page(s) A79, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201629928
Author(s): J D Rivera, B Moraes, A I Merson, S Jouvel, F B Abdalla, M C B Abdalla
Published in: Monthly Notices of the Royal Astronomical Society, 477/4, 2018, Page(s) 4330-4347, ISSN 0035-8711
Publisher: Blackwell Publishing Inc.
DOI: 10.1093/mnras/sty880
Author(s): N Jeffrey, F B Abdalla, O Lahav, F Lanusse, J-L Starck, A Leonard, D Kirk, C Chang, E Baxter, T Kacprzak, S Seitz, V Vikram, L Whiteway, T M C Abbott, S Allam, S Avila, E Bertin, D Brooks, A Carnero Rosell, M Carrasco Kind, J Carretero, F J Castander, M Crocce, C E Cunha, C B D’Andrea, L N da Costa, C Davis, J De Vicente, S Desai, P Doel, T F Eifler, A E Evrard, B Flaugher, P Fosalba, J Frie
Published in: Monthly Notices of the Royal Astronomical Society, 479/3, 2018, Page(s) 2871-2888, ISSN 0035-8711
Publisher: Blackwell Publishing Inc.
DOI: 10.1093/mnras/sty1252
Author(s): R. Joseph, F. Courbin, J.-L. Starck
Published in: Astronomy & Astrophysics, 589, 2016, Page(s) A2, ISSN 0004-6361
Publisher: Springer Verlag
DOI: 10.1051/0004-6361/201527923
Author(s): Genzel, Martin; Kutyniok, Gitta
Published in: 25, 2016
Publisher: ArXiv
Author(s): Helmut Bölcskei, Philipp Grohs, Gitta Kutyniok, Philipp Petersen
Published in: 2017
Publisher: ArXiv
Author(s): Martin Genzel, Alexander Stollenwerk
Published in: 2018
Publisher: arXiv
Author(s): Martin Genzel, Peter Jung
Published in: 2017
Publisher: ArXiv
Author(s): Bernard G. Bodmann, Axel Flinth, Gitta Kutyniok
Published in: 2018
Publisher: arXiv
Author(s): Grohs, Philipp; Kutyniok, Gitta; Ma, Jackie; Petersen, Philipp; Raslan, Mones
Published in: 33, 2015
Publisher: ArXiv
Author(s): Martin Genzel, Gitta Kutyniok, Maximilian März
Published in: 2017
Publisher: ArXiv
Author(s): Martin Genzel, Gitta Kutyniok
Published in: 2018
Publisher: arXiv
Author(s): Voigtlaender, Felix
Published in: 21, 2016
Publisher: ArXiv
Author(s): Florent Sureau, Felix Voigtlaender, Malte Wust, Jean-Luc Starck, Gitta Kutyniok
Published in: 2018
Publisher: arXiv
Author(s): A. Panousopoulou, S. Farrens, K. Fotiadou, A. Woiselle, G. Tsagkatakis, , J.-L. Starck, P. Tsakalides
Published in: 2018
Publisher: arXiv
Author(s): Niall Jeffrey, Filipe B. Abdalla
Published in: 2018
Publisher: arXiv
Author(s): Radamanthys Stivaktakis, Grigorios Tsagkatakis, Bruno Moraes, Filipe Abdalla, Jean-Luc Starck, Panagiotis Tsakalides
Published in: 2018
Publisher: arXiv
Author(s): Arthur Loureiro, Bruno Moraes, Filipe B. Abdalla, Andrei Cuceu, Michael McLeod, Lorne Whiteway, Sreekumar T. Balan, Aurélien Benoit-Lévy, Ofer Lahav, Marc Manera, Richard Rollins, Henrique S. Xavier
Published in: 2018
Publisher: arXiv
Author(s): Felix Voigtlaender, Anne Pein
Published in: 2017
Publisher: arXiv
Author(s): Athanasia Panousopoulou, Sammuel Farrens, Yannis Mastorakis, Jean-Luck Starck, Panagiotis Tsakailides
Published in: 2017 25th European Signal Processing Conference (EUSIPCO), 2017, Page(s) 1440-1444, ISBN 978-0-9928626-7-1
Publisher: IEEE
DOI: 10.23919/eusipco.2017.8081447