Functional learning: From theory to application in bioimaging

Publicaciones

Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions

Autores: Ducotterd, Stanislas; Goujon, Alexis; Bohra, Pakshal; Perdios, Dimitris; Neumayer, Sebastian; Unser, Michael
Publicado en: Journal of Machine Learning Research, Edición 9, 2024, Página(s) 1-30, ISSN 1533-7928
Editor: Microtome Publishing

Linear Inverse Problems with Hessian-Schatten Total Variation

Autores: Ambrosio, Luigi; Aziznejad, Shayan; Brena, Camillo; Unser, Michael
Publicado en: Calculus of Variations and Partial Differential Equations, Edición vol. 63, no. 1, 2024, Página(s) paper no. 9, ISSN 1432-0835
Editor: Springer
DOI: 10.1007/s00526-023-02611-6

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

Autores: Michael Unser; Shayan Aziznejad; Joaquim Campos
Publicado en: IEEE Open Journal of Signal Processing, Edición 3, 2022, Página(s) 36-48, ISSN 2644-1322
Editor: IEEE
DOI: 10.1109/ojsp.2021.3136488

Explicit Representations for Banach Subspaces of Lizorkin Distributions

Autores: Neumayer, Sebastian; Unser, Michael
Publicado en: Analysis and Applications, Edición vol. 21, no. 5, 2023, Página(s) 1223-1250, ISSN 1793-6861
Editor: World Scientific Publishing Company
DOI: 10.1142/s0219530523500148

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

Autores: Goujon, Alexis; Neumayer, Sebastian; Unser, Michael
Publicado en: Crossref, Edición 3, 2024, Página(s) 91-115, ISSN 1936-4954
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1565243

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

Autores: Liu, Yan; Dong, Jonathan; Schmidt Cédric; Boquet-Pujada, Aleix; Extermann, Jérôme; Unser, Michael
Publicado en: Optics Letters, Edición 47(11), 2022, Página(s) 2618-2621, ISSN 0146-9592
Editor: Optical Society of America
DOI: 10.1364/ol.457144

Deep Learning Meets Sparse Regularization: A signal processing perspective

Autores: Rahul Parhi; Robert D. Nowak
Publicado en: Crossref, Edición 10, 2023, Página(s) 63-74, ISSN 1558-0792
Editor: IEEE
DOI: 10.1109/msp.2023.3286988

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

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

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

Autores: Campos, Joaquim; Aziznejad, Shayan; Unser, Michael
Publicado en: IEEE Open Journal of Signal Processing, Edición vol. 3, 2022, Página(s) pp. 36–48, ISSN 2644-1322
Editor: IEEE
DOI: 10.1109/ojsp.2021.3136488

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

Autores: Parhi, Rahul; Unser, Michael
Publicado en: IEEE Signal Processing Letters, Edición vol. 30, 2023, Página(s) pp. 568–572, ISSN 1558-2361
Editor: IEEE
DOI: 10.1109/lsp.2023.3275916

Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation

Autores: Aziznejad, Shayan; Campos, Joaquim; Unser, Michael
Publicado en: SIAM Journal on Mathematics of Data Science, Edición vol. 5, no. 2, 2023, Página(s) 422-445, ISSN 2577-0187
Editor: SIAM
DOI: 10.1137/22m147517x

A Constrained Method for Lensless Coherent Imaging of Thin Samples

Autores: Soulez, Ferréol; Rostykus, Manon; Moser, Christophe; Unser, Michael
Publicado en: Applied Optics, Edición 61(9), 2022, Página(s) F34-F46, ISSN 2155-3165
Editor: Optica Publishing Group
DOI: 10.1364/ao.445078

Deep Learning Meets Sparse Regularization

Autores: Parhi, Rahul; Nowak, Robert D.
Publicado en: IEEE Signal Processing Magazine, Edición vol. 40, no. 6, 2023, Página(s) pp. 63–74, ISSN 1053-5888
Editor: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2023.3286988

Dynamic Fourier ptychography with deep spatiotemporal priors

Autores: Pakshal Bohra; Thanh-an Pham; Yuxuan Long; Jaejun Yoo; Michael Unser
Publicado en: Crossref, Edición 6, 2023, ISSN 1361-6420
Editor: Purpose-Led Publishing
DOI: 10.1088/1361-6420/acca72

A Neural-Network-Based Convex Regularizer for Inverse Problems

Autores: Alexis Goujon; Sebastian Neumayer; Pakshal Bohra; Stanislas Ducotterd; Michael Unser
Publicado en: Crossref, Edición 11, 2023, Página(s) 781-795, ISSN 2333-9403
Editor: IEEE
DOI: 10.1109/tci.2023.3306100

Physics-based neural network for non-invasive control of coherent light in scattering media

Autores: Alexandra d’Arco; Fei Xia; Antoine Boniface; Jonathan Dong; Sylvain Gigan
Publicado en: Optics Express, Edición 30(17), 2022, Página(s) 30845-30856, ISSN 1094-4087
Editor: Optical Society of America
DOI: 10.1364/oe.465702

Dynamic Fourier Ptychography with Deep Spatiotemporal Priors

Autores: Bohra, Pakshal; Pham, Thanh-an; Long, Yuxuan; Yoo, Jaejun; Unser, Michael
Publicado en: Dynamic Fourier Ptychography with Deep Spatiotemporal Priors, Edición vol. 39, no. 6, 2023, Página(s) paper no. 064005, ISSN 1361-6420
Editor: Purpose-LED Publishng
DOI: 10.1088/1361-6420/acca72

Approximation of Lipschitz Functions using Deep Spline Neural Networks

Autores: Neumayer, Sebastian; Goujon, Alexis; Bohra, Pakshal; Unser, Michael
Publicado en: SIAM Journal on Mathematics of Data Science, Edición vol. 5, no. 2, 2023, Página(s) 306-322, ISSN 2577-0187
Editor: SIAM
DOI: 10.1137/22m1504573

Stability of Image-Reconstruction Algorithms

Autores: del Aguila Pla, Pol; Neumayer, Sebastian Jonas; Unser, Michael;
Publicado en: IEEE Transactions on Computational Imaging, Edición 9, 2023, Página(s) 1-12, ISSN 2573-0436
Editor: IEEE
DOI: 10.1109/tci.2023.3236161

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

Autores: Jonathan Dong; Lorenzo Valzania; Antoine Maillard; Thanh-an Pham; Sylvain Gigan; Michael Unser
Publicado en: IEEE Signal Processing Magazine, Edición 40(1), 2023, Página(s) 45-57, ISSN 1053-5888
Editor: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2022.3219240

Convex Optimization in Sums of Banach Spaces

Autores: Unser, Michael; Aziznejad, Shayan
Publicado en: Applied and Computational Harmonic Analysis, Edición 56, 2022, Página(s) 1-25, ISSN 1063-5203
Editor: Academic Press
DOI: 10.1016/j.acha.2021.07.002

Sparsest Univariate Learning Models Under Lipschitz Constraint

Autores: Michael Unser; Shayan Aziznejad; Thomas Debarre
Publicado en: IEEE Open Journal of Signal Processing, Edición 3, 2022, Página(s) 140-154, ISSN 2644-1322
Editor: IEEE
DOI: 10.1109/ojsp.2022.3157082

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

Autores: Goujon, Alexis; Neumayer, Sebastian; Unser, Michael
Publicado en: SIAM Journal on Imaging Sciences, Edición vol. 17, no. 1, 2024, Página(s) pp. 91–115, ISSN 1936-4954
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1565243

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

Autores: Rahul Parhi; Michael Unser
Publicado en: Crossref, Edición 4, 2023, Página(s) 568-572, ISSN 1558-2361
Editor: IEEE
DOI: 10.1109/lsp.2023.3275916

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

Autores: Bohra, Pakshal; del Aguila Pla, Pol; Giovanelli, Jean-François; Unser, Michael
Publicado en: IEEE Transactions on Signal Processing, Edición 71, 2023, Página(s) 2043-2055, ISSN 1941-0476
Editor: IEEE
DOI: 10.1109/tsp.2023.3282062

Bayesian Inversion for Nonlinear Imaging Models Using Deep Generative Priors

Autores: Bohra, Pakshal; Pham, Thanh-an; Dong, Jonathan; Unser, Michael
Publicado en: IEEE Transactions on Computational Imaging, Edición vol. 8, 2022, Página(s) pp. 1237–1249, ISSN 2573-0436
Editor: IEEE
DOI: 10.1109/tci.2023.3236155

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

Autores: d'Arco, Alexandra; Xia, Fei; Boniface, Antoine; Dong, Jonathan; Gigan, Sylvain
Publicado en: Optics Express, Edición vol. 30, no. 17,, 2022, Página(s) pp. 30845–30856, ISSN 1094-4087
Editor: Optical Society of America
DOI: 10.1364/oe.465702

A Neural-Network-Based Convex Regularizer for Inverse Problems

Autores: Goujon, Alexis; Neumayer, Sebastian; Bohra, Pakshal; Unser, Michael
Publicado en: IEEE Transactions on Computational Imaging, Edición vol. 9, 2023, Página(s) pp. 781–795, ISSN 2333-9403
Editor: IEEE
DOI: 10.1109/tci.2023.3306100

Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions

Autores: Ducotterd, Stanislas; Goujon, Alexis; Bohra, Pakshal; Perdios, Dimitris; Neumayer, Sebastian; Unser, Michael
Publicado en: Journal of Machine Learning Research, Edición vol. 25, no. 65, 2024, Página(s) pp. 1–30, ISSN 1532-4435
Editor: MIT Press

From Kernel Methods to Neural Networks: A Unifying Variational Formulation

Autores: Unser, Michael
Publicado en: Foundations of Computational Mathematics, 2023, ISSN 1615-3383
Editor: Springer
DOI: 10.1007/s10208-023-09624-9

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

Autores: Pourya, Mehrsa; Goujon, Alexis; Unser, Michael
Publicado en: IEEE Open Journal of Signal Processing, Edición 4, 2023, Página(s) 167-178, ISSN 2644-1322
Editor: IEEE
DOI: 10.1109/ojsp.2023.3250104

Bayesian Inversion for Nonlinear Imaging Models using Deep Generative Priors

Autores: Pakshal Bohra; Thanh-an Pham; Jonathan Dong; Michael Unser
Publicado en: IEEE Transactions on Computational Imaging, Edición 8, 2022, Página(s) 1237-1249, ISSN 2573-0436
Editor: IEEE
DOI: 10.1109/tci.2023.3236155

Sparsest Univariate Learning Models Under Lipschitz Constraint

Autores: Aziznejad, Shayan; Debarre, Thomas; Unser, Michael
Publicado en: IEEE Open Journal of Signal Processing, Edición vol. 3, 2022, Página(s) pp. 140–154, ISSN 2644-1322
Editor: IEEE
DOI: 10.1109/ojsp.2022.3157082

Asymptotic Stability in Reservoir Computing

Autores: Dong, Jonathan Yuelin; Börve, Erik; Rafayelyan, Mushegh; Unser, Michael;
Publicado en: Proceedings of the 2022 International Joint Conference on Neural Networks, Edición July 18-23, 2022
Editor: IEEE
DOI: 10.1109/ijcnn55064.2022.9892302

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