Functional learning: From theory to application in bioimaging

Project Information

FunLearn

Grant agreement ID: 101020573

DOI

10.3030/101020573

EC signature date 18 July 2021

Start date 1 October 2021

End date 30 September 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 665 115,00

EU contribution

€ 2 665 115,00

Coordinated by

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (24)

On the Effect of Initialization: The Scaling Path of 2-Layer Neural Networks

Author(s): Neumayer, Sebastian; Chizat, Lénaïc; Unser, Michael
Published in: Journal of Machine Learning Research, 2024, ISSN 1533-7928
Publisher: Microtome Publishing

Linear Inverse Problems with Hessian-Schatten Total Variation

Author(s): Ambrosio, Luigi; Aziznejad, Shayan; Brena, Camillo; Unser, Michael
Published in: Calculus of Variations and Partial Differential Equations, Issue vol. 63, no. 1, 2024, Page(s) paper no. 9, ISSN 1432-0835
Publisher: Springer
DOI: 10.1007/s00526-023-02611-6

Explicit Representations for Banach Subspaces of Lizorkin Distributions

Author(s): Neumayer, Sebastian; Unser, Michael
Published in: Analysis and Applications, Issue vol. 21, no. 5, 2023, Page(s) 1223-1250, ISSN 1793-6861
Publisher: World Scientific Publishing Company
DOI: 10.1142/s0219530523500148

Artifacts in Optical Projection Tomography Due to Refractive-Index Mismatch: Model and Correction

Author(s): Liu, Yan; Dong, Jonathan; Schmidt Cédric; Boquet-Pujada, Aleix; Extermann, Jérôme; Unser, Michael
Published in: Optics Letters, Issue 47(11), 2022, Page(s) 2618-2621, ISSN 0146-9592
Publisher: Optical Society of America
DOI: 10.1364/ol.457144

Phase Retrieval: From Computational Imaging to Machine Learning: A Tutorial

Author(s): Dong, Jonathan; Valzania, Lorenzo; Maillard, Antoine; Pham, Thanh-an; Gigan, Sylvain; Unser, Michael
Published in: IEEE Signal Processing Magazine, Issue vol. 40, no. 1, 2023, Page(s) pp. 45–57, ISSN 1053-5888
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2022.3219240

Learning of Continuous and Piecewise-Linear Functions with Hessian Total-Variation Regularization

Author(s): Campos, Joaquim; Aziznejad, Shayan; Unser, Michael
Published in: IEEE Open Journal of Signal Processing, Issue vol. 3, 2022, Page(s) pp. 36–48, ISSN 2644-1322
Publisher: IEEE
DOI: 10.1109/ojsp.2021.3136488

The Sparsity of Cycle Spinning for Wavelet-Based Solutions of Linear Inverse Problems

Author(s): Parhi, Rahul; Unser, Michael
Published in: IEEE Signal Processing Letters, Issue vol. 30, 2023, Page(s) pp. 568–572, ISSN 1558-2361
Publisher: IEEE
DOI: 10.1109/lsp.2023.3275916

Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation

Author(s): Aziznejad, Shayan; Campos, Joaquim; Unser, Michael
Published in: SIAM Journal on Mathematics of Data Science, Issue vol. 5, no. 2, 2023, Page(s) 422-445, ISSN 2577-0187
Publisher: SIAM
DOI: 10.1137/22m147517x

A Constrained Method for Lensless Coherent Imaging of Thin Samples

Author(s): Soulez, Ferréol; Rostykus, Manon; Moser, Christophe; Unser, Michael
Published in: Applied Optics, Issue 61(9), 2022, Page(s) F34-F46, ISSN 2155-3165
Publisher: Optica Publishing Group
DOI: 10.1364/ao.445078

A Box-Spline Framework for Inverse Problems With Continuous-Domain Sparsity Constraints

Author(s): Mehrsa Pourya, Aleix Boquet-Pujadas, Michael Unser
Published in: IEEE Transactions on Computational Imaging, Issue 10, 2024, Page(s) 790-805, ISSN 2333-9403
Publisher: IEEE
DOI: 10.1109/tci.2024.3402376

Deep Learning Meets Sparse Regularization

Author(s): Parhi, Rahul; Nowak, Robert D.
Published in: IEEE Signal Processing Magazine, Issue vol. 40, no. 6, 2023, Page(s) pp. 63–74, ISSN 1053-5888
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2023.3286988

Dynamic Fourier Ptychography with Deep Spatiotemporal Priors

Author(s): Bohra, Pakshal; Pham, Thanh-an; Long, Yuxuan; Yoo, Jaejun; Unser, Michael
Published in: Dynamic Fourier Ptychography with Deep Spatiotemporal Priors, Issue vol. 39, no. 6, 2023, Page(s) paper no. 064005, ISSN 1361-6420
Publisher: Purpose-LED Publishng
DOI: 10.1088/1361-6420/acca72

Approximation of Lipschitz Functions using Deep Spline Neural Networks

Author(s): Neumayer, Sebastian; Goujon, Alexis; Bohra, Pakshal; Unser, Michael
Published in: SIAM Journal on Mathematics of Data Science, Issue vol. 5, no. 2, 2023, Page(s) 306-322, ISSN 2577-0187
Publisher: SIAM
DOI: 10.1137/22m1504573

Stability of Image-Reconstruction Algorithms

Author(s): del Aguila Pla, Pol; Neumayer, Sebastian Jonas; Unser, Michael;
Published in: IEEE Transactions on Computational Imaging, Issue 9, 2023, Page(s) 1-12, ISSN 2573-0436
Publisher: IEEE
DOI: 10.1109/tci.2023.3236161

Convex Optimization in Sums of Banach Spaces

Author(s): Unser, Michael; Aziznejad, Shayan
Published in: Applied and Computational Harmonic Analysis, Issue 56, 2022, Page(s) 1-25, ISSN 1063-5203
Publisher: Academic Press
DOI: 10.1016/j.acha.2021.07.002

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

Author(s): Goujon, Alexis; Neumayer, Sebastian; Unser, Michael
Published in: SIAM Journal on Imaging Sciences, Issue vol. 17, no. 1, 2024, Page(s) pp. 91–115, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1565243

A Statistical Framework to Investigate the Optimality of Signal-Reconstruction Methods

Author(s): Bohra, Pakshal; del Aguila Pla, Pol; Giovanelli, Jean-François; Unser, Michael
Published in: IEEE Transactions on Signal Processing, 2023, Page(s) 2043-2055, ISSN 1941-0476
Publisher: IEEE
DOI: 10.1109/tsp.2023.3282062

Bayesian Inversion for Nonlinear Imaging Models Using Deep Generative Priors

Author(s): Bohra, Pakshal; Pham, Thanh-an; Dong, Jonathan; Unser, Michael
Published in: IEEE Transactions on Computational Imaging, Issue vol. 8, 2022, Page(s) pp. 1237–1249, ISSN 2573-0436
Publisher: IEEE
DOI: 10.1109/tci.2023.3236155

Physics-Based Neural Network for Non-Invasive Control of Coherent Light in Scattering Media

Author(s): d'Arco, Alexandra; Xia, Fei; Boniface, Antoine; Dong, Jonathan; Gigan, Sylvain
Published in: Optics Express, Issue vol. 30, no. 17,, 2022, Page(s) pp. 30845–30856, ISSN 1094-4087
Publisher: Optical Society of America
DOI: 10.1364/oe.465702

A Neural-Network-Based Convex Regularizer for Inverse Problems

Author(s): Goujon, Alexis; Neumayer, Sebastian; Bohra, Pakshal; Unser, Michael
Published in: IEEE Transactions on Computational Imaging, Issue vol. 9, 2023, Page(s) pp. 781–795, ISSN 2333-9403
Publisher: IEEE
DOI: 10.1109/tci.2023.3306100

Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions

Author(s): Ducotterd, Stanislas; Goujon, Alexis; Bohra, Pakshal; Perdios, Dimitris; Neumayer, Sebastian; Unser, Michael
Published in: Journal of Machine Learning Research, Issue vol. 25, no. 65, 2024, Page(s) pp. 1–30, ISSN 1532-4435
Publisher: MIT Press

From Kernel Methods to Neural Networks: A Unifying Variational Formulation

Author(s): Unser, Michael
Published in: Foundations of Computational Mathematics, 2023, ISSN 1615-3383
Publisher: Springer
DOI: 10.1007/s10208-023-09624-9

Delaunay-Triangulation-Based Learning with Hessian Total-Variation Regularization

Author(s): Pourya, Mehrsa; Goujon, Alexis; Unser, Michael
Published in: IEEE Open Journal of Signal Processing, Issue 4, 2023, Page(s) 167-178, ISSN 2644-1322
Publisher: IEEE
DOI: 10.1109/ojsp.2023.3250104

Sparsest Univariate Learning Models Under Lipschitz Constraint

Author(s): Aziznejad, Shayan; Debarre, Thomas; Unser, Michael
Published in: IEEE Open Journal of Signal Processing, Issue vol. 3, 2022, Page(s) pp. 140–154, ISSN 2644-1322
Publisher: IEEE
DOI: 10.1109/ojsp.2022.3157082

Conference proceedings (5)

Boosting Weakly Convex Ridge Regularizers with Spatial Adaptivity

Author(s): Neumayer, Sebastian; Pourya, Mehrsa; Goujon, Alexis; Unser, Michael
Published in: Fourth Workshop on Deep Learning and Inverse Problems (NeurIPS'23), 2023
Publisher: NeurIPS

Learning Lipschitz-Controlled Activation Functions in Neural Networks for Plug-and-Play Image Reconstruction Methods

Author(s): Bohra, Pakshal; Perdios, Dimitris; Goujon, Alexis; Emery, Sébastien; Unser, Michael
Published in: Proceedings of the Third Workshop on Deep Learning and Inverse Problems (NeurIPS'21), 2021, Page(s) 1-9
Publisher: NeurIPS

Opportunities and Challenges for Generative Adversarial Reconstruction by Distribution Matching (CryoGAN)

Author(s): Unser, Michael; Bohra, Pakshal
Published in: SIAM Conference on Imaging Science (IS'22), Single-Particle Cryo-Electron Microscopy Recent Advances and Next Challenges - Part II of III, 2022, Page(s) MS96
Publisher: SIAM

Asymptotic Stability in Reservoir Computing

Author(s): Dong, Jonathan Yuelin; Börve, Erik; Rafayelyan, Mushegh; Unser, Michael;
Published in: Proceedings of the 2022 International Joint Conference on Neural Networks, Issue July 18-23, 2022
Publisher: IEEE
DOI: 10.1109/ijcnn55064.2022.9892302

Learning a Convex Patch-Based Synthesis Model via Deep Equilibrium

Author(s): Stanislas Ducotterd, Sebastian Neumayer, Michael Unser
Published in: ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Issue 11, 2024, Page(s) 2031-2035
Publisher: IEEE
DOI: 10.1109/icassp48485.2024.10446773