Preprints

1. T. Debarre, J. Fageot, H. Gupta, M. Unser, "B-Spline-Based Exact Discretization of Continuous-Domain Inverse Problems with Generalized TV Regularization," IEEE Transactions on Information Theory, in press.
2. J. Fageot, V. Uhlmann, M. Unser, "Gaussian and Sparse Processes Are Limits of Generalized Poisson Processes," Applied and Computational Harmonic Analysis, in press.
3. J. Fageot, M. Unser, "Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Lévy White Noises," Journal of Theoretical Probability, in press.
4. J. Fageot, M. Unser, J.P. Ward, "Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters," Journal of Fourier Analysis and Applications, in press.
5. J. Fageot, M. Unser, J.P. Ward, "The n-term Approximation of Periodic Generalized Lévy Processes," Journal of Theoretical Probability, in press.
6. H.Q. Nguyen, M. Unser, "Approximation of Non-Decaying Signals from Shift-Invariant Subspaces," Journal of Fourier Analysis and Applications, in press.
7. D. Sage, T.-A. Pham, H. Babcock, T. Lukes, T. Pengo, J. Chao, R. Velmurugan, A. Herbert, A. Agrawal, S. Colabrese, A. Wheeler, A. Archetti, B. Rieger, R. Ober, G.M. Hagen, J.-B. Sibarita, J. Ries, R. Henriques, M. Unser, S. Holden, "Super-Resolution Fight Club: Assessment of 2D and 3D Single-Molecule Localization Microscopy Software," Nature Methods, in press.
8. E. Soubies, M. Unser, "Computational Super-Sectioning for Single-Slice Structured-Illumination Microscopy," IEEE Transactions on Computational Imaging, in press.
9. T. Debarre, J. Fageot, H. Gupta, M. Unser, "Solving Continuous-Domain Problems Exactly with Multiresolution B-Splines," Proceedings of the Forty-Fourth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'19), Brighton, United Kingdom, May 12-17, 2019, in press.
10. A. Badoual, A. Galan, D. Sage, M. Unser, "Deforming Tessellations for the Segmentation of Cell Aggregates," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 8-11, 2019, in press.
11. L. Donati, E. Soubies, M. Unser, "Inner-Loop-Free ADMM for Cryo-EM," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 8-11, 2019, in press.
12. T.-a. Pham, E. Soubies, D. Sage, M. Unser, "Closed-Form Expression of the Fourier Ring-Correlation for Single-Molecule Localization Microscopy," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 8-11, 2019, in press.
13. E. Soubies, L. Blanc-Féraud, S. Schaub, E. Van Obberghen-Schilling, "Improving 3D MA-TIRF Reconstruction with Deconvolution and Background Estimation," Proceedings of the Sixteenth IEEE International Symposium on Biomedical Imaging (ISBI'19), Venice, Italian Republic, April 8-11, 2019, in press.

Prepublications

1. S. Aziznejad, J. Fageot, M. Unser, "Wavelet Analysis of the Besov Regularity of Lévy White Noises," arXiv:1801.09245 [math.PR]
2. S. Aziznejad, M. Unser, "An L1 Representer Theorem for Multiple-Kernel Regression," arXiv:1811.00836 [cs.LG]
3. J. Fageot, S. Aziznejad, M. Unser, V. Uhlmann, "Support and Approximation Properties of Hermite Splines," arXiv:1902.02565 [math.NA]
4. J. Fageot, T. Humeau, "Unified View on Lévy White Noises: General Integrability Conditions and Applications to Linear SPDE," arXiv:1708.02500 [math.PR]
5. J. Fageot, V. Uhlmann, Z. Püspöki, B. Beck, M. Unser, A. Depeursinge, "Principled Design and Implementation of Steerable Detectors," arXiv:1811.00863 [eess.IV]
6. E. Soubies, F. Soulez, M.T. McCann, T.-a. Pham, L. Donati, T. Debarre, D. Sage, M. Unser, "Pocket Guide to Solve Inverse Problems with GlobalBioIm," arXiv:1812.07908 [cs.MS]
7. M. Unser, "A Representer Theorem for Deep Neural Networks," arXiv:1802.09210 [stat.ML]
8. M. Unser, "A Unifying Representer Theorem for Inverse Problems and Machine Learning," arXiv:1903.00687 [math.OC]