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  1. M. Unser, "A Unifying Representer Theorem for Inverse Problems and Machine Learning," Foundations of Computational Mathematics, in press.



  1. S. Aziznejad, J. Fageot, "Wavelet Compressibility of Compound Poisson Processes," arXiv:2003.11646 [cs.IT]
  2. T. Debarre, Q. Denoyelle, M. Unser, J. Fageot, "Sparsest Continuous Piecewise-Linear Representation of Data," arXiv:2003.10112 [math.OC]
  3. J. Fageot, T. Humeau, "Unified View on Lévy White Noises: General Integrability Conditions and Applications to Linear SPDE," arXiv:1708.02500 [math.PR]
  4. J. Fageot, V. Uhlmann, Z. Püspöki, B. Beck, M. Unser, A. Depeursinge, "Principled Design and Implementation of Steerable Detectors," arXiv:1811.00863 [eess.IV]
  5. H. Gupta, M.T. McCann, L. Donati, M. Unser, "CryoGAN: A New Reconstruction Paradigm for Single-Particle Cryo-EM via Deep Adversarial Learning," bioRxiv 2020.03.20.001016
  6. K.H. Jin, H. Gupta, J. Yerly, M. Stuber, M. Unser, "Time-Dependent Deep Image Prior for Dynamic MRI," arXiv:1910.01684 [eess.IV]
  7. M. Unser, "A Unifying Representer Theorem for Inverse Problems and Machine Learning," arXiv:1903.00687 [math.OC]



 Journals • Conferences • Abstracts • Books • Theses • Preprints • All Publications • ↑Top  


Journal Articles

2021       Journal Articles • 2020 • 2021 • ↑Top 
  1. S. Aziznejad, M. Unser, "Multikernel Regression with Sparsity Constraint," SIAM Journal on Mathematics of Data Science, vol. 3, no. 1, pp. 201-224, 2021.
2020       Journal Articles • 2019 • 2021 • ↑Top 
  1. P. Bohra, J. Campos, H. Gupta, S. Aziznejad, M. Unser, "Learning Activation Functions in Deep (Spline) Neural Networks," IEEE Open Journal of Signal Processing, vol. 1, pp.295-309, November 19, 2020.
  2. M. Unser, "A Note on BIBO Stability," IEEE Transactions on Signal Processing, vol. 68, pp. 5904-5913, September 21, 2020.
  3. S. Aziznejad, H. Gupta, J. Campos, M. Unser, "Deep Neural Networks with Trainable Activations and Controlled Lipschitz Constant," IEEE Transactions on Signal Processing, vol. 68, pp. 4688-4699, August 10, 2020.
  4. P. Bohra, M. Unser, "Continuous-Domain Signal Reconstruction Using Lp-Norm Regularization," IEEE Transactions on Signal Processing, vol. 68, pp. 4543-4554, August 3, 2020.
  5. L. Dadi, S. Aziznejad, M. Unser, "Generating Sparse Stochastic Processes Using Matched Splines," IEEE Transactions on Signal Processing, vol. 68, pp. 4397-4406, July 24, 2020.
  6. J. Fageot, V. Uhlmann, M. Unser, "Gaussian and Sparse Processes Are Limits of Generalized Poisson Processes," Applied and Computational Harmonic Analysis, vol. 48, no. 3, pp. 1045-1065, May 2020.
  7. J. Fageot, S. Aziznejad, M. Unser, V. Uhlmann, "Support and Approximation Properties of Hermite Splines," Journal of Computational and Applied Mathematics, vol. 368, paper no. 112503, pp. 1-15, April 2020.
  8. J. Fageot, M. Unser, J.P. Ward, "The n-Term Approximation of Periodic Generalized Lévy Processes," Journal of Theoretical Probability, vol. 33, no. 1, pp. 180-200, March 2020.
  9. V. Petrenko, N.R. Gandasi, D. Sage, A. Tengholm, S. Barg, C. Dibner, "In Pancreatic Islets from Type 2 Diabetes Patients, the Dampened Circadian Oscillators Lead to Reduced Insulin and Glucagon Exocytosis," Proceedings of the National Academy of Sciences of the United States of America, vol. 117, no. 5, pp. 2484-2495, February 4, 2020.
  10. F. Yang, T.-a. Pham, H. Gupta, M. Unser, J. Ma, "Deep-Learning Projector for Optical Diffraction Tomography," Optics Express, vol. 28, no. 3, pp. 3905-3921, February 3, 2020.
  11. A.B. Ayoub, T.-a. Pham, J. Lim, M. Unser, D. Psaltis, "A Method for Assessing the Fidelity of Optical Diffraction Tomography Reconstruction Methods Using Structured Illumination," Optics Communications, vol. 454, no. 124486, pp. 1-6, January 1, 2020.
  12. Q. Denoyelle, V. Duval, G. Peyré, E. Soubies, "The Sliding Frank-Wolfe Algorithm and Its Application to Super-Resolution Microscopy," Inverse Problems, vol. 36, no. 1, paper no. 014001, pp. 1-42, January 2020.
  13. S. Aziznejad, J. Fageot, "Wavelet Analysis of the Besov Regularity of Lévy White Noise," Electronic Journal of Probability, vol. 25, paper no. 158, pp. 1-38, 2020.
  14. P. del Aguila Pla, L. Pellaco, S. Dwivedi, P. Händel, J. Jaldén, "Clock Synchronization over Networks: Identifiability of the Sawtooth Model," IEEE Open Journal of Signal Processing, vol. 1, pp. 14-27, 2020.
  15. T.-a. Pham, E. Soubies, A. Ayoub, J. Lim, D. Psaltis, M. Unser, "Three-Dimensional Optical Diffraction Tomography with Lippmann-Schwinger Model," IEEE Transactions on Computational Imaging, vol. 6, pp. 727-738, 2020.
  16. A. Song, V. Uhlmann, J. Fageot, M. Unser, "Dictionary Learning for Two-Dimensional Kendall Shapes," SIAM Journal on Imaging Sciences, vol. 13, no. 1, pp. 141-175, 2020.
  17. M. Zehni, L. Donati, E. Soubies, Z. Zhao, M. Unser, "Joint Angular Refinement and Reconstruction for Single-Particle Cryo-EM," IEEE Transactions on Image Processing, vol. 29, pp. 6151-6163, 2020.
2019       Journal Articles  • 2019  • 2020
  1. M.T. McCann, M. Unser, "Biomedical Image Reconstruction: From the Foundations to Deep Neural Networks," Foundations and Trends® in Signal Processing, vol. 13, no. 3, pp. 280-359, December 3, 2019.
  2. T. Debarre, S. Aziznejad, M. Unser, "Hybrid-Spline Dictionaries for Continuous-Domain Inverse Problems," IEEE Transactions on Signal Processing, vol. 67, no. 22, pp. 5824-5836, November 15, 2019.
  3. A. Badoual, M. Unser, A. Depeursinge, "Texture-Driven Parametric Snakes for Semi-Automatic Image Segmentation," Computer Vision and Image Understanding, vol. 188, paper no. 102793, pp. 1-11, November 2019.
  4. 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," Inverse Problems, vol. 35, no. 10, paper no. 104006, pp. 1-20, October 2019.
  5. J. Fageot, M. Unser, "Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Lévy White Noises," Journal of Theoretical Probability, vol. 32, no. 3, pp 1166-1189, September 2019.
  6. 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, vol. 25, no. 4, pp. 2037-2063, August 2019.
  7. 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, vol. 65, no. 7, pp. 4457-4470, July 2019.
  8. H.Q. Nguyen, M. Unser, "Approximation of Non-Decaying Signals from Shift-Invariant Subspaces," Journal of Fourier Analysis and Applications, vol. 25, no. 3, pp. 633-660, June 2019.
  9. E. Soubies, M. Unser, "Computational Super-Sectioning for Single-Slice Structured-Illumination Microscopy," IEEE Transactions on Computational Imaging, vol. 5, no. 2, pp. 240-250, June 2019.
  10. 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—Techniques for Life Scientists and Chemists, vol. 16, no. 5, pp. 387-395, May 2019.
  11. V. Andrearczyk, A. Depeursinge, H. Müller, "Neural Network Training for Cross-Protocol Radiomic Feature Standardization in Computed Tomography," Journal of Medical Imaging, vol. 6, no. 2, pp. 024008-1/024008-13, April-June 2019.
  12. D. Cherezov, D. Goldgof, L. Hall, R. Gillies, M. Schabath, H. Müller, A. Depeursinge, "Revealing Tumor Habitats from Texture Heterogeneity Analysis for Classification of Lung Cancer Malignancy and Aggressiveness," Scientific Reports, vol. 9, no. 4500, pp. 1-9, March 14, 2019.
  13. J. Castelli, A. Depeursinge, A. Devillers, B. Campillo-Gimenez, Y. Dicente, J.O. Prior, E. Chajon, F. Jegoux, C. Sire, O. Acosta, E. Gherga, X. Sun, B. De Bari, J. Bourhis, R. de Crevoisier, "PET-Based Prognostic Survival Model After Radiotherapy for Head and Neck Cancer," European Journal of Nuclear Medicine and Molecular Imaging, vol. 46, no. 3, pp. 638-649, March 2019.
  14. E. Soubies, A. Radwanska, D. Grall, L. Blanc-Féraud, E. Van Obberghen-Schilling, S. Schaub, "Nanometric Axial Resolution of Fibronectin Assembly Units Achieved with an Efficient Reconstruction Approach for Multi-Angle-TIRF Microscopy," Scientific Reports, vol. 9, no. 1926, pp. 1-10, February 13, 2019.
  15. D. Migliozzi, M. Cornaglia, L. Mouchiroud, V. Uhlmann, M.A. Unser, J. Auwerx, M.A.M. Gijs, "Multimodal Imaging and High-Throughput Image-Processing for Drug Screening on Living Organisms on-Chip," Journal of Biomedical Optics, vol. 24, no. 2, pp. 021205-1–021205-9, February 2019.
  16. A.I. Rahaghi, U. Lemmin, D. Sage, D.A. Barry, "Achieving High-Resolution Thermal Imagery in Low-Contrast Lake Surface Waters by Aerial Remote Sensing and Image Registration," Remote Sensing of Environment, vol. 221, pp. 773-783, February 2019.
  17. M. Unser, "A Representer Theorem for Deep Neural Networks," Journal of Machine Learning Research, vol. 20, no. 110, pp. 1-30, January 2019-Present.
  18. D. Gambarotto, F.U. Zwettler, M. Le Guennec, M. Schmidt-Cernohorska, D. Fortun, S. Borgers, J. Heine, J.-G. Schloetel, M. Reuss, M. Unser, E.S. Boyden, M. Sauer, V. Hamel, P. Guichard, "Imaging Cellular Ultrastructures Using Expansion Microscopy (U-ExM)," Nature Methods—Techniques for Life Scientists and Chemists, vol. 16, no. 1, pp. 71-81, January 2019.
  19. Z. Püspöki, J. Fageot, A. Amini, J.P. Ward, M. Unser, "Angular Accuracy of Steerable Feature Detectors," SIAM Journal on Imaging Sciences, vol. 12, no. 1, pp. 344-371, 2019.

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