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  1. Q. Denoyelle, V. Duval, G. Peyré, E. Soubies, "The Sliding Frank-Wolfe Algorithm and Its Application to Super-Resolution Microscopy," Inverse Problems, 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, J.P. Ward, "The n-term Approximation of Periodic Generalized Lévy Processes," Journal of Theoretical Probability, in press.



  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, 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. 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

2020       Journal Articles • 2019 • 2020 • ↑Top 
  1. 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.
  2. 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.
2019       Journal Articles • 2018 • 2020 • ↑Top 
  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.
2018       Journal Articles • 2017 • 2019 • ↑Top 
  1. L. Donati, M. Nilchian, C.Ó.S. Sorzano, M. Unser, "Fast Multiscale Reconstruction for Cryo-EM," Journal of Structural Biology, vol. 204, no. 3, pp. 543-554, December 2018.
  2. A. Badoual, J. Fageot, M. Unser, "Periodic Splines and Gaussian Processes for the Resolution of Linear Inverse Problems," IEEE Transactions on Signal Processing, vol. 66, no. 22, pp. 6047-6061, November 15, 2018.
  3. D. Fortun, M. Storath, D. Rickert, A. Weinmann, M. Unser, "Fast Piecewise-Affine Motion Estimation Without Segmentation," IEEE Transactions on Image Processing, vol. 27, no. 11, pp. 5612-5624, November 2018.
  4. C.-L. Chen, L. Hermans, M.C. Viswanathan, D. Fortun, F. Aymanns, M. Unser, A. Cammarato, M.H. Dickinson, P. Ramdya, "Imaging Neural Activity in the Ventral Nerve Cord of Behaving Adult Drosophila," Nature Communications, vol. 9, paper no. 4390, pp. 1-10, October 22, 2018.
  5. J. Min, K.H. Jin, M. Unser, J.C. Ye, "Grid-Free Localization Algorithm Using Low-Rank Hankel Matrix for Super-Resolution Microscopy," IEEE Transactions on Image Processing, vol. 27, no. 10, pp. 4771-4786, October 2018.
  6. H. Gupta, J. Fageot, M. Unser, "Continuous-Domain Solutions of Linear Inverse Problems with Tikhonov versus Generalized TV Regularization," IEEE Transactions on Signal Processing, vol. 66, no. 17, pp. 4670-4684, September 1, 2018.
  7. A. Amini, R. Madani, M. Unser, "A Universal Formula for Generalized Cardinal B-Splines," Applied and Computational Harmonic Analysis, vol. 45, no. 2, pp. 341-358, September 2018.
  8. H. Gupta, K.H. Jin, H.Q. Nguyen, M.T. McCann, M. Unser, "CNN-Based Projected Gradient Descent for Consistent CT Image Reconstruction," IEEE Transactions on Medical Imaging, vol. 37, no. 6, pp. 1440-1453, June 2018.
  9. H. Choi, K.H. Jin, "Predicting Cognitive Decline with Deep Learning of Brain Metabolism and Amyloid Imaging," Behavioural Brain Research, vol. 344, pp. 103-109, May 15, 2018.
  10. D. Fortun, P. Guichard, V. Hamel, C.Ó.S. Sorzano, N. Banterle, P. Gönczy, M. Unser, "Reconstruction from Multiple Particles for 3D Isotropic Resolution in Fluorescence Microscopy," IEEE Transactions on Medical Imaging, vol. 37, no. 5, pp. 1235-1246, May 2018.
  11. N. Scher, J. Castelli, A. Depeursinge, J. Bourhis, J.O. Prior, F.G. Herrera, M. Ozsahin, "(18F)-FDG PET/CT Parameters to Predict Survival and Recurrence in Patients with Locally Advanced Cervical Cancer Treated with Chemoradiotherapy," Cancer/Radiothérapie, vol. 22, no. 3, pp. 229-235, May 2018.
  12. M. Rostykus, F. Soulez, M. Unser, C. Moser, "Compact In-Line Lensfree Digital Holographic Microscope," Methods, vol. 136, pp. 17-23, March 1, 2018.
  13. K.H. Jin, J.C. Ye, "Sparse and Low-Rank Decomposition of a Hankel Structured Matrix for Impulse Noise Removal," IEEE Transactions on Image Processing, vol. 27, no. 3, pp. 1448-1461, March 2018.
  14. R. Joyseeree, H. Müller, A. Depeursinge, "Rotation-Covariant Tissue Analysis for Interstitial Lung Diseases Using Learned Steerable Filters: Performance Evaluation and Relevance for Diagnostic Aid," Computerized Medical Imaging and Graphics, vol. 64, pp. 1-11, March 2018.
  15. J. Lim, A. Goy, M.H. Shoreh, M. Unser, D. Psaltis, "Learning Tomography Assessed Using Mie Theory," Physical Review Applied, vol. 9, no. 3, pp. 034027-1–034027-14, March 2018.
  16. H.Q. Nguyen, E. Bostan, M. Unser, "Learning Convex Regularizers for Optimal Bayesian Denoising," IEEE Transactions on Signal Processing, vol. 66, no. 4, pp. 1093-1105, February 15, 2018.
  17. T.-a. Pham, E. Soubies, A. Goy, J. Lim, F. Soulez, D. Psaltis, M. Unser, "Versatile Reconstruction Framework for Diffraction Tomography with Intensity Measurements and Multiple Scattering," Optics Express, vol. 26, no. 3, pp. 2749-2763, February 5, 2018.
  18. V. Uhlmann, C. Haubold, F.A. Hamprecht, M. Unser, "DiversePathsJ: Diverse Shortest Paths for Bioimage Analysis," Bioinformatics, vol. 34, no. 3, pp. 538-540, February 1, 2018.
  19. A. Loddo, C. Di Ruberto, M. Kocher, "Recent Advances of Malaria Parasites Detection Systems Based on Mathematical Morphology," Sensors, vol. 18, no. 2, paper no. 513, pp. 1-21, February 2018.
  20. D. Schmitter, M. Unser, "Landmark-Based Shape Encoding and Sparse-Dictionary Learning in the Continuous Domain," IEEE Transactions on Image Processing, vol. 27, no. 1, pp. 365-378, January 2018.
2017       Journal Articles  • 2017  • 2018
  1. H. Deschout, I. Platzman, D. Sage, L. Feletti, J.P. Spatz, A. Radenovic, "Investigating Focal Adhesion Substructures by Localization Microscopy," Biophysical Journal, vol. 113, no. 11, pp. 2508-2518, December 5, 2017.
  2. R. Schorer, A. Badoual, B. Bastide, A. Vandebrouck, M. Licker, D. Sage, "A Feasability Study of Color Flow Doppler Vectorization for Automated Blood Flow Monitoring," Journal of Clinical Monitoring and Computing, vol. 31, no. 6, pp. 1167-1175, December 2017.
  3. M. Unser, J. Fageot, J.P. Ward, "Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization," SIAM Review, vol. 59, no. 4, pp. 769-793, December 2017.
  4. A. Badoual, P. Novara, L. Romani, D. Schmitter, M. Unser, "A Non-Stationary Subdivision Scheme for the Construction of Deformable Models with Sphere-Like Topology," Graphical Models, vol. 94, pp. 38-51, November 2017.
  5. M.T. McCann, K.H. Jin, M. Unser, "Convolutional Neural Networks for Inverse Problems in Imaging—A Review," IEEE Signal Processing Magazine, vol. 34, no. 6, pp. 85-95, November 2017.
  6. D. Schmitter, J. Fageot, A. Badoual, P. Garcia-Amorena, M. Unser, "Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution," Graphical Models, vol. 94, pp. 52-64, November 2017.
  7. M.T. McCann, M. Unser, "High-Quality Parallel-Ray x-Ray CT Back Projection Using Optimized Interpolation," IEEE Transactions on Image Processing, vol. 26, no. 10, pp. 4639-4647, October 2017.
  8. D. Schmitter, M. Unser, "Shape Projectors for Landmark-Based Spline Curves," IEEE Signal Processing Letters, vol. 24, no. 10, pp. 1517-1521, October 2017.
  9. M. Storath, D. Rickert, M. Unser, A. Weinmann, "Fast Segmentation from Blurred Data in 3D Fluorescence Microscopy," IEEE Transactions on Image Processing, vol. 26, no. 10, pp. 4856-4870, October 2017.
  10. E. Soubies, T.-A. Pham, M. Unser, "Efficient Inversion of Multiple-Scattering Model for Optical Diffraction Tomography," Optics Express, vol. 25, no. 8, pp. 21786-21800, September 4, 2017.
  11. K.H. Jin, M.T. McCann, E. Froustey, M. Unser, "Deep Convolutional Neural Network for Inverse Problems in Imaging," IEEE-SPS best paper award, IEEE Transactions on Image Processing, vol. 26, no. 9, pp. 4509-4522, September 2017.
  12. P. Pad, K. Alishahi, M. Unser, "Optimized Wavelet Denoising for Self-Similar α-Stable Processes," IEEE Transactions on Information Theory, vol. 63, no. 9, pp. 5529-5543, September 2017.
  13. D. Schmitter, P. García-Amorena, M. Unser, "Smooth Shapes with Spherical Topology: Beyond Traditional Modeling, Efficient Deformation, and Interaction," Computational Visual Media, vol. 3, no. 3, pp. 199-215, September 2017.
  14. M. Storath, A. Weinmann, M. Unser, "Jump-Penalized Least Absolute Values Estimation of Scalar or Circle-Valued Signals," Information and Inference: A Journal of the IMA, vol. 6, no. 3, pp. 225-245, September 2017.
  15. L. Donati, M. Nilchian, S. Trépout, C. Messaoudi, S. Marco, M. Unser, "Compressed Sensing for STEM Tomography," Ultramicroscopy, vol. 179, pp. 47-56, August 2017.
  16. H.Q. Nguyen, M. Unser, "A Sampling Theory for Non-Decaying Signals," Applied and Computational Harmonic Analysis, vol. 43, no. 1, pp. 76-93, July 2017.
  17. J. Castelli, A. Depeursinge, B. de Bari, A. Devillers, R. de Crevoisier, J. Bourhis, J.O. Prior, "Metabolic Tumor Volume and Total Lesion Glycolysis in Oropharyngeal Cancer Treated with Definitive Radiotherapy—Which Threshold Is the Best Predictor of Local Control?," Clinical Nuclear Medicine, vol. 42, no. 6, pp. e281-e285, June 2017.
  18. J. Fageot, A. Fallah, M. Unser, "Multidimensional Lévy White Noise in Weighted Besov Spaces," Stochastic Processes and Their Applications, vol. 127, no. 5, pp. 1599-1621, May 2017.
  19. V. Uhlmann, P. Ramdya, R. Delgado-Gonzalo, R. Benton, M. Unser, "FlyLimbTracker: An Active Contour Based Approach for Leg Segment Tracking in Unmarked, Freely Behaving Drosophila," PLoS ONE, vol. 12, no. 4, pp. 1-21, April 28, 2017.
  20. J. Castelli, A. Depeursinge, V. Ndoh, J.O. Prior, M. Ozsahin, A. Devillers, H. Bouchaab, E. Chajon, R. de Crevoisier, N. Scher, F. Jegoux, B. Laguerre, B. De Bari, J. Bourhis, "A PET-Based Nomogram for Oropharyngeal Cancers," European Journal of Cancer, vol. 75, pp. 222-230, April 2017.
  21. Y.D. Cid, H. Müller, A. Platon, P.-A. Poletti, A. Depeursinge, "3D Solid Texture Classification Using Locally-Oriented Wavelet Transforms," IEEE Transactions on Image Processing, vol 26, no. 4, pp. 1899-1910, April 2017.
  22. A. Depeursinge, Z. Püspöki, J.P. Ward, M. Unser, "Steerable Wavelet Machines (SWM): Learning Moving Frames for Texture Classification," IEEE Transactions on Image Processing, vol. 26, no. 4, pp. 1626-1636, April 2017.
  23. H.Q. Nguyen, M. Unser, J.P. Ward, "Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth," The Journal of Fourier Analysis and Applications, vol. 23, no. 2, pp. 442-461, April 2017.
  24. A. Badoual, D. Schmitter, V. Uhlmann, M. Unser, "Multiresolution Subdivision Snakes," IEEE Transactions on Image Processing, vol. 26, no. 3, pp. 1188-1201, March 2017.
  25. B. Lazareff, J.-P. Berger, J. Kluska, J.-B. Le Bouquin, M. Benisty, F. Malbet, C. Koen, C. Pinte, W.-F. Thi, O. Absil, F. Baron, A. Delboulbé, G. Duvert, A. Isella, L. Jocou, A. Juhasz, S. Kraus, R. Lachaume, F. Ménard, R. Millan-Gabet, J.D. Monnier, T. Moulin, K. Perraut, S. Rochat, F. Soulez, M. Tallon, É. Thiébaut, W. Traub, G. Zins, "Structure of Herbig AeBe Disks at the milliarcsecond Scale—A Statistical Survey in the H Band Using PIONIER-VLTI," Astronomy & Astrophysics, Worldwide Astronomical and Astrophysical Research, vol. 599, paper no. A85, pp. 1-41, March 2017.
  26. M. Storath, L. Demaret, P. Massopust, "Signal Analysis Based on Complex Wavelet Signs," Applied and Computational Harmonic Analysis, vol. 42, no. 2, pp. 199-223, March 2017.
  27. M. Rostykus, F. Soulez, M. Unser, C. Moser, "Compact Lensless Phase Imager," Optics Express, vol. 25, no. 4, pp. 4438-4445, February 20, 2017.
  28. V. Petrenko, C. Saini, L. Giovannoni, C. Gobet, D. Sage, M. Unser, M.H. Masson, G. Gu, D. Bosco, F. Gachon, J. Philippe, C. Dibner, "Pancreatic α- and β-Cellular Clocks Have Distinct Molecular Properties and Impact on Islet Hormone Secretion and Gene Expression," Genes & Development, vol. 31, no. 4, pp. 383-398, February 15, 2017.
  29. D. Sage, L. Donati, F. Soulez, D. Fortun, G. Schmit, A. Seitz, R. Guiet, C. Vonesch, M. Unser, "DeconvolutionLab2: An Open-Source Software for Deconvolution Microscopy," Methods—Image Processing for Biologists, vol. 115, pp. 28-41, February 15, 2017.
  30. J.C. Ye, J.M. Kim, K.H. Jin, K. Lee, "Compressive Sampling Using Annihilating Filter-Based Low-Rank Interpolation," IEEE Transactions on Information Theory, vol. 63, no. 2, pp. 777-801, February 2017.
  31. K. Wasmer, P.-M. Pochon, D. Sage, J.H. Giovanola, "Parametric Experimental Study and Design of Experiment Modelling of Sapphire Grinding," Journal of Cleaner Production, vol. 141, pp. 323-335, January 10, 2017.
  32. J. Fageot, M. Unser, J.P. Ward, "On the Besov Regularity of Periodic Lévy Noises," Applied and Computational Harmonic Analysis, vol. 42, no, 1, pp. 21-36, January 2017.
  33. S. Rangan, A.K. Fletcher, P. Schniter, U.S. Kamilov, "Inference for Generalized Linear Models via Alternating Directions and Bethe Free Energy Minimization," IEEE Transactions on Information Theory, vol. 63, no. 1, pp. 676-697, January 2017.

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