Functional learning: From theory to application in bioimaging

Publikacje

Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions

Autorzy: Ducotterd, Stanislas; Goujon, Alexis; Bohra, Pakshal; Perdios, Dimitris; Neumayer, Sebastian; Unser, Michael
Opublikowane w: Journal of Machine Learning Research, Numer 9, 2024, Strona(/y) 1-30, ISSN 1533-7928
Wydawca: Microtome Publishing

Linear Inverse Problems with Hessian-Schatten Total Variation

Autorzy: Ambrosio, Luigi; Aziznejad, Shayan; Brena, Camillo; Unser, Michael
Opublikowane w: Calculus of Variations and Partial Differential Equations, Numer vol. 63, no. 1, 2024, Strona(/y) paper no. 9, ISSN 1432-0835
Wydawca: Springer
DOI: 10.1007/s00526-023-02611-6

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

Autorzy: Michael Unser; Shayan Aziznejad; Joaquim Campos
Opublikowane w: IEEE Open Journal of Signal Processing, Numer 3, 2022, Strona(/y) 36-48, ISSN 2644-1322
Wydawca: IEEE
DOI: 10.1109/ojsp.2021.3136488

Explicit Representations for Banach Subspaces of Lizorkin Distributions

Autorzy: Neumayer, Sebastian; Unser, Michael
Opublikowane w: Analysis and Applications, Numer vol. 21, no. 5, 2023, Strona(/y) 1223-1250, ISSN 1793-6861
Wydawca: World Scientific Publishing Company
DOI: 10.1142/s0219530523500148

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

Autorzy: Goujon, Alexis; Neumayer, Sebastian; Unser, Michael
Opublikowane w: Crossref, Numer 3, 2024, Strona(/y) 91-115, ISSN 1936-4954
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1565243

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

Autorzy: Liu, Yan; Dong, Jonathan; Schmidt Cédric; Boquet-Pujada, Aleix; Extermann, Jérôme; Unser, Michael
Opublikowane w: Optics Letters, Numer 47(11), 2022, Strona(/y) 2618-2621, ISSN 0146-9592
Wydawca: Optical Society of America
DOI: 10.1364/ol.457144

Deep Learning Meets Sparse Regularization: A signal processing perspective

Autorzy: Rahul Parhi; Robert D. Nowak
Opublikowane w: Crossref, Numer 10, 2023, Strona(/y) 63-74, ISSN 1558-0792
Wydawca: IEEE
DOI: 10.1109/msp.2023.3286988

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

Autorzy: Dong, Jonathan; Valzania, Lorenzo; Maillard, Antoine; Pham, Thanh-an; Gigan, Sylvain; Unser, Michael
Opublikowane w: IEEE Signal Processing Magazine, Numer vol. 40, no. 1, 2023, Strona(/y) pp. 45–57, ISSN 1053-5888
Wydawca: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2022.3219240

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

Autorzy: Campos, Joaquim; Aziznejad, Shayan; Unser, Michael
Opublikowane w: IEEE Open Journal of Signal Processing, Numer vol. 3, 2022, Strona(/y) pp. 36–48, ISSN 2644-1322
Wydawca: IEEE
DOI: 10.1109/ojsp.2021.3136488

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

Autorzy: Parhi, Rahul; Unser, Michael
Opublikowane w: IEEE Signal Processing Letters, Numer vol. 30, 2023, Strona(/y) pp. 568–572, ISSN 1558-2361
Wydawca: IEEE
DOI: 10.1109/lsp.2023.3275916

Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation

Autorzy: Aziznejad, Shayan; Campos, Joaquim; Unser, Michael
Opublikowane w: SIAM Journal on Mathematics of Data Science, Numer vol. 5, no. 2, 2023, Strona(/y) 422-445, ISSN 2577-0187
Wydawca: SIAM
DOI: 10.1137/22m147517x

A Constrained Method for Lensless Coherent Imaging of Thin Samples

Autorzy: Soulez, Ferréol; Rostykus, Manon; Moser, Christophe; Unser, Michael
Opublikowane w: Applied Optics, Numer 61(9), 2022, Strona(/y) F34-F46, ISSN 2155-3165
Wydawca: Optica Publishing Group
DOI: 10.1364/ao.445078

Deep Learning Meets Sparse Regularization

Autorzy: Parhi, Rahul; Nowak, Robert D.
Opublikowane w: IEEE Signal Processing Magazine, Numer vol. 40, no. 6, 2023, Strona(/y) pp. 63–74, ISSN 1053-5888
Wydawca: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2023.3286988

Dynamic Fourier ptychography with deep spatiotemporal priors

Autorzy: Pakshal Bohra; Thanh-an Pham; Yuxuan Long; Jaejun Yoo; Michael Unser
Opublikowane w: Crossref, Numer 6, 2023, ISSN 1361-6420
Wydawca: Purpose-Led Publishing
DOI: 10.1088/1361-6420/acca72

A Neural-Network-Based Convex Regularizer for Inverse Problems

Autorzy: Alexis Goujon; Sebastian Neumayer; Pakshal Bohra; Stanislas Ducotterd; Michael Unser
Opublikowane w: Crossref, Numer 11, 2023, Strona(/y) 781-795, ISSN 2333-9403
Wydawca: IEEE
DOI: 10.1109/tci.2023.3306100

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

Autorzy: Alexandra d’Arco; Fei Xia; Antoine Boniface; Jonathan Dong; Sylvain Gigan
Opublikowane w: Optics Express, Numer 30(17), 2022, Strona(/y) 30845-30856, ISSN 1094-4087
Wydawca: Optical Society of America
DOI: 10.1364/oe.465702

Dynamic Fourier Ptychography with Deep Spatiotemporal Priors

Autorzy: Bohra, Pakshal; Pham, Thanh-an; Long, Yuxuan; Yoo, Jaejun; Unser, Michael
Opublikowane w: Dynamic Fourier Ptychography with Deep Spatiotemporal Priors, Numer vol. 39, no. 6, 2023, Strona(/y) paper no. 064005, ISSN 1361-6420
Wydawca: Purpose-LED Publishng
DOI: 10.1088/1361-6420/acca72

Approximation of Lipschitz Functions using Deep Spline Neural Networks

Autorzy: Neumayer, Sebastian; Goujon, Alexis; Bohra, Pakshal; Unser, Michael
Opublikowane w: SIAM Journal on Mathematics of Data Science, Numer vol. 5, no. 2, 2023, Strona(/y) 306-322, ISSN 2577-0187
Wydawca: SIAM
DOI: 10.1137/22m1504573

Stability of Image-Reconstruction Algorithms

Autorzy: del Aguila Pla, Pol; Neumayer, Sebastian Jonas; Unser, Michael;
Opublikowane w: IEEE Transactions on Computational Imaging, Numer 9, 2023, Strona(/y) 1-12, ISSN 2573-0436
Wydawca: IEEE
DOI: 10.1109/tci.2023.3236161

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

Autorzy: Jonathan Dong; Lorenzo Valzania; Antoine Maillard; Thanh-an Pham; Sylvain Gigan; Michael Unser
Opublikowane w: IEEE Signal Processing Magazine, Numer 40(1), 2023, Strona(/y) 45-57, ISSN 1053-5888
Wydawca: Institute of Electrical and Electronics Engineers
DOI: 10.1109/msp.2022.3219240

Convex Optimization in Sums of Banach Spaces

Autorzy: Unser, Michael; Aziznejad, Shayan
Opublikowane w: Applied and Computational Harmonic Analysis, Numer 56, 2022, Strona(/y) 1-25, ISSN 1063-5203
Wydawca: Academic Press
DOI: 10.1016/j.acha.2021.07.002

Sparsest Univariate Learning Models Under Lipschitz Constraint

Autorzy: Michael Unser; Shayan Aziznejad; Thomas Debarre
Opublikowane w: IEEE Open Journal of Signal Processing, Numer 3, 2022, Strona(/y) 140-154, ISSN 2644-1322
Wydawca: IEEE
DOI: 10.1109/ojsp.2022.3157082

Learning Weakly Convex Regularizers for Convergent Image-Reconstruction Algorithms

Autorzy: Goujon, Alexis; Neumayer, Sebastian; Unser, Michael
Opublikowane w: SIAM Journal on Imaging Sciences, Numer vol. 17, no. 1, 2024, Strona(/y) pp. 91–115, ISSN 1936-4954
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1565243

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

Autorzy: Rahul Parhi; Michael Unser
Opublikowane w: Crossref, Numer 4, 2023, Strona(/y) 568-572, ISSN 1558-2361
Wydawca: IEEE
DOI: 10.1109/lsp.2023.3275916

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

Autorzy: Bohra, Pakshal; del Aguila Pla, Pol; Giovanelli, Jean-François; Unser, Michael
Opublikowane w: IEEE Transactions on Signal Processing, Numer 71, 2023, Strona(/y) 2043-2055, ISSN 1941-0476
Wydawca: IEEE
DOI: 10.1109/tsp.2023.3282062

Bayesian Inversion for Nonlinear Imaging Models Using Deep Generative Priors

Autorzy: Bohra, Pakshal; Pham, Thanh-an; Dong, Jonathan; Unser, Michael
Opublikowane w: IEEE Transactions on Computational Imaging, Numer vol. 8, 2022, Strona(/y) pp. 1237–1249, ISSN 2573-0436
Wydawca: IEEE
DOI: 10.1109/tci.2023.3236155

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

Autorzy: d'Arco, Alexandra; Xia, Fei; Boniface, Antoine; Dong, Jonathan; Gigan, Sylvain
Opublikowane w: Optics Express, Numer vol. 30, no. 17,, 2022, Strona(/y) pp. 30845–30856, ISSN 1094-4087
Wydawca: Optical Society of America
DOI: 10.1364/oe.465702

A Neural-Network-Based Convex Regularizer for Inverse Problems

Autorzy: Goujon, Alexis; Neumayer, Sebastian; Bohra, Pakshal; Unser, Michael
Opublikowane w: IEEE Transactions on Computational Imaging, Numer vol. 9, 2023, Strona(/y) pp. 781–795, ISSN 2333-9403
Wydawca: IEEE
DOI: 10.1109/tci.2023.3306100

Improving Lipschitz-Constrained Neural Networks by Learning Activation Functions

Autorzy: Ducotterd, Stanislas; Goujon, Alexis; Bohra, Pakshal; Perdios, Dimitris; Neumayer, Sebastian; Unser, Michael
Opublikowane w: Journal of Machine Learning Research, Numer vol. 25, no. 65, 2024, Strona(/y) pp. 1–30, ISSN 1532-4435
Wydawca: MIT Press

From Kernel Methods to Neural Networks: A Unifying Variational Formulation

Autorzy: Unser, Michael
Opublikowane w: Foundations of Computational Mathematics, 2023, ISSN 1615-3383
Wydawca: Springer
DOI: 10.1007/s10208-023-09624-9

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

Autorzy: Pourya, Mehrsa; Goujon, Alexis; Unser, Michael
Opublikowane w: IEEE Open Journal of Signal Processing, Numer 4, 2023, Strona(/y) 167-178, ISSN 2644-1322
Wydawca: IEEE
DOI: 10.1109/ojsp.2023.3250104

Bayesian Inversion for Nonlinear Imaging Models using Deep Generative Priors

Autorzy: Pakshal Bohra; Thanh-an Pham; Jonathan Dong; Michael Unser
Opublikowane w: IEEE Transactions on Computational Imaging, Numer 8, 2022, Strona(/y) 1237-1249, ISSN 2573-0436
Wydawca: IEEE
DOI: 10.1109/tci.2023.3236155

Sparsest Univariate Learning Models Under Lipschitz Constraint

Autorzy: Aziznejad, Shayan; Debarre, Thomas; Unser, Michael
Opublikowane w: IEEE Open Journal of Signal Processing, Numer vol. 3, 2022, Strona(/y) pp. 140–154, ISSN 2644-1322
Wydawca: IEEE
DOI: 10.1109/ojsp.2022.3157082

Asymptotic Stability in Reservoir Computing

Autorzy: Dong, Jonathan Yuelin; Börve, Erik; Rafayelyan, Mushegh; Unser, Michael;
Opublikowane w: Proceedings of the 2022 International Joint Conference on Neural Networks, Numer July 18-23, 2022
Wydawca: IEEE
DOI: 10.1109/ijcnn55064.2022.9892302

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