Journal Articles
In press
S. Crisci, S. Rebegoldi, G. Toraldo, M. Viola, Barzilai–Borwein-like rules in proximal gradient schemes for l1-regularized problems. Optimization Methods and Software, in press. DOI:10.1080/10556788.2023.2285489
2024
F. Argenti, S. Bellavia, M. Fontani, G. Guarnieri, M. Jerian, A. Limone, S. Rebegoldi 2024, A proposed workflow for the restoration of image artifacts in forensic applications. IEEE Access 12, 88303-88321
A. Aspri, A. Benfenati, P. Causin, C. Cavaterra, G. Naldi 2024, Mathematical and numerical challenges in diffuse optical tomography inverse problems. Discrete and Continuous Dynamical Systems - S 17(1): 421-461
A. Benfenati, P. Cascarano 2024, Constrained plug-and-play priors for image restoration. Journal of Imaging 10(2), 50
S. Bonettini, M. Prato, S. Rebegoldi 2024, A new proximal heavy-ball inexact line-search algorithm. Computational Optimization and Applications 88, 525-565
P. Cascarano, A. Benfenati, U.S. Kamilov, X. Xu 2024, Constrained regularization by denoising with automatic parameter selection. IEEE Signal Processing Letters 31, 556-560
P. Cascarano, G. Franchini, E. Kobler, F. Porta, A. Sebastiani 2024, A variable metric proximal stochastic gradient method: an application to classification problems. EURO Journal on Computational Optimization 12, 100088
G. Franchini 2024, GreenNAS: A green approach to the hyperparameters tuning in Deep Learning. Mathematics 12(6), 850
G. Franchini, F. Porta, V. Ruggiero, I. Trombini, L. Zanni 2024, A stochastic gradient method with variance control and variable learning rate for Deep Learning. Journal of Computational and Applied Mathematics 451, 116083
F. Merizzi, P. Saillard, O. Acquier, E. Morotti, E. Loli Piccolomini, L. Calatroni, R.M. Dessì 2024, Deep image prior inpainting of ancient frescoes in the Mediterranean Alpine arc. Heritage Science 12, 41
S. Rebegoldi 2024, Analysis of a variable metric block coordinate method under proximal errors. Annali dell'Università di Ferrara 70, 23-61
L. Stacchio, S. Garzarella, P. Cascarano, A. De Filippo, E. Cervellati, G. Marfia 2024, DanXe: An extended artificial intelligence framework to analyze and promote dance heritage. Digital Applications in Archaeology and Cultural Heritage 33, e00343
2023
S. Bellavia, N. Krejic, B. Morini, S. Rebegoldi 2023, A stochastic first-order trust-region method with inexact restoration for finite-sum minimization. Computational Optimization and Applications 84(1), 53-84
S. Bellavia, B. Morini, S. Rebegoldi 2023, On the convergence properties of a stochastic trust-region method with inexact restoration. Axioms 12(1), 38
A. Benfenati, A. Catozzi, V. Ruggiero 2023, Neural blind deconvolution with Poisson data. Inverse Problems 39, 054003
A. Benfenati, P. Causin, R. Oberti, G. Stefanello 2023, Unsupervised deep learning techniques for automatic detection of plant diseases: reducing the need of manual labelling of plant images. Journal of Mathematics in Industry 13(1), 5
A. Benfenati, A. Marta 2023, A singular Riemannian geometry approach to Deep Neural Networks I. Theoretical foundations. Neural Networks 158, 331-343
A. Benfenati, A. Marta 2023, A singular Riemannian geometry approach to deep neural networks II. Reconstruction of 1-D equivalence classes. Neural Networks 158, 344-358
S. Bilbao, M. Ducceschi, F. Zama 2023, Explicit exactly energy-conserving methods for Hamiltonian systems. Journal of Computational Physics 472, 111697
S. Bonettini, G. Franchini, D. Pezzi, M. Prato 2023, Explainable bilevel optimization: an application to the Helsinki deblur challenge . Inverse Problems and Imaging 17(5), 925-950
S. Bonettini, P. Ochs, M. Prato, S. Rebegoldi 2023, An abstract convergence framework with application to inertial inexact forward-backward methods . Computational Optimization and Applications 84 (2), 319-362
S. Bonettini, D. Pezzi, M. Prato, S. Rebegoldi 2023, On an iteratively reweighted linesearch based algorithm for nonconvex composite optimization . Inverse Problems 39(6), 064001
S. Bonettini, M. Prato, S. Rebegoldi 2023, A nested primal-dual FISTA‑like scheme for composite convex optimization problems. Computational Optimization and Applications 84(1), 85-123
V. Bortolotti, G. Landi, F. Zama 2023, An automatic pixel-wise multi-penalty approach to image restoration. Journal of Imaging 9(11), 249
P. Cascarano, G. Franchini, E. Kobler, F. Porta, A. Sebastiani 2023, Constrained and unconstrained deep image prior optimization models with automatic regularization. Computational Optimization and Applications 84(1), 125-149
S. Crisci, V. De Simone, M. Viola 2023, On the adaptive penalty parameter selection in ADMM. Algorithms 16(6), 264
S. Crisci, F. Porta, V. Ruggiero, L. Zanni 2023, Hybrid limited memory gradient projection methods for box-constrained optimization problems. Computational Optimization and Applications 84(1), 151-189
D. Evangelista, E. Morotti, E. Loli Piccolomini 2023, RISING: A new framework for model-based few-view CT image reconstruction with deep learning. Computerized Medical Imaging and Graphics 103, 102156
D. Evangelista, E. Morotti, E. Loli Piccolomini, J. Nagy 2023, Ambiguity in solving imaging inverse problems with deep-learning-based operators. Journal of Imaging 9(7), 133
G. Franchini, F. Porta, V. Ruggiero, I. Trombini 2023, A line search based proximal stochastic gradient algorithm with dynamical variance reduction. Journal of Scientific Computing 94, 23
G. Franchini, F. Porta, V. Ruggiero, I. Trombini, L. Zanni 2023, Learning rate selection in stochastic gradient methods based on line search strategies. Applied Mathematics in Science and Engineering 31(1), 2164000
G. Franchini, V. Ruggiero, F. Porta, L. Zanni 2023, Neural architecture search via standard machine learning methodologies. Mathematics in Engineering 5(1), 1-21
E. Loli Piccolomini, M. Prato, M. Scipione, A. Sebastiani 2023, CTprintNet: An accurate and stable deep unfolding approach for few-view CT reconstruction. Algorithms 16(6), 270
C. Scribano, G. Franchini, M. Prato, M. Bertogna 2023, DCT-Former: Efficient Self-Attention with Discrete Cosine Transform. Journal of Scientific Computing 94, 67
C. Scribano, D. Pezzi, G. Franchini, M. Prato 2023, Denoising diffusion models on model-based latent space. Algorithms 16(11), 501
2022
G. Aletti, A. Benfenati, G. Naldi 2022, A new nonlocal nonlinear diffusion equation: the one-dimensional case. Bulletin of the Australian Mathematical Society 106(2), 333-339
E. Antonelli, E. Loli Piccolomini, F. Zama 2022, Switched forced SEIRDV compartmental models to monitor COVID-19 spread and immunization in Italy. Infectious Disease Modelling 7(1), 1-15
A. Benfenati 2022, upU-Net approaches for background emission removal in Fluorescence Microscopy. Journal of Imaging 8(5), 142
A. Benfenati, G. Borghi, L. Pareschi 2022, Binary interaction methods for high dimensional global optimization and machine learning. Applied Mathematics and Optimization 86(1), 9
M. Bertero, C. De Mol 2022, A simple convergence proof of the ML-EM algorithm in the presence of background emission. Annali dell'Università di Ferrara 68(2), 259-275
V. Bortolotti, L. Brizi, A. Nagmutdinova, F. Zama, G. Landi 2022, MUPen2DTool: A new Matlab Tool for 2D Nuclear Magnetic Resonance relaxation data inversion. SoftwareX 20, 101240
P. Cascarano, M.C. Comes, A. Sebastiani, A. Mencattini, E. Loli Piccolomini, E. Martinelli 2022, DeepCEL0 for 2D single-molecule localization in fluorescence microscopy. Bioinformatics 38(5), 1411-1419
P. Cascarano, G. Franchini, F. Porta, A. Sebastiani 2022, On the first-order optimization methods in Deep Image Prior . Journal of Verification, Validation and Uncertainty Quantification 7 (4), 041002
P. Cascarano, E. Loli Piccolomini, E. Morotti, A. Sebastiani 2022, Plug-and-Play gradient-based denoisers applied to CT image enhancement. Applied Mathematics and Computation 422(10), 126967
S. Crisci, F. Porta, V. Ruggiero, L. Zanni 2022, On the convergence properties of scaled gradient projection methods with non-monotone Armijo-like line searches . Annali dell'Università di Ferrara 68(2), 521-554
G. Franchini, M. Verucchi, A. Catozzi, F. Porta, M. Prato 2022, Biomedical image classification via dynamically early stopped artificial neural network. Algorithms 15(10), 386
G. Landi, F. Zama 2022, A variational approach to Gibbs artifacts removal in MRI. Annali dell'Università di Ferrara 68(2), 465-481
E. Loli Piccolomini 2022, A comparison of regularization models for few-view CT image reconstruction. Annali dell'Università di Ferrara 68 (2), 385-396
D. Mylonopoulos, P. Cascarano, L. Calatroni, E. Loli Piccolomini 2022, Constrained and unconstrained inverse Potts modelling for joint image super-resolution and segmentation. Image Processing On Line 12, 92-110
D. Sapienza, D. Paganelli, M. Prato, M. Bertogna, M. Spallanzani 2022, Deep learning-assisted analysis of automobiles handling performances. Communications in Applied and Industrial Mathematics 13(1), 78-95
S. Rebegoldi, L. Calatroni 2022, Scaled, inexact, and adaptive generalized FISTA for strongly convex optimization. SIAM Journal on Optimization 32(3), 2428-2459
D. Sapienza, G. Franchini, E. Govi, M. Bertogna, M. Prato 2022, Deep Image Prior for medical image denoising, a study about parameter initialization . Frontiers in Applied Mathematics and Statistics 8, 995225
M. Spallanzani, G. Mihaylov, M. Prato, R. Fontana 2022, A fingerprint of a heterogeneous data set . Advances in Data Analysis and Classification 16, 617-657
2021
G. Aletti, A. Benfenati, G. Naldi 2021, A semi-supervised reduced-space method for hyperspectral imaging segmentation. Journal of Imaging 7(12), 267
G. Aletti, A. Benfenati, G. Naldi 2021, A semiautomatic multi-label color image segmentation coupling Dirichlet problem and colour distances. Journal of Imaging 7(10), 208
G. Aletti, A. Benfenati, G. Naldi 2021, Graph, spectra, control and epidemics: An example with a SEIR model. Mathematics 9(22), 2987
A. Benfenati, F. Bonacci, T. Bourouina, H. Talbot 2021, Efficient position estimation of 3D fluorescent spherical beads in Confocal Microscopy via Poisson denoising. Journal of Mathematical Imaging and Vision 63(1), 56-72
S. Bonettini, F. Porta, V. Ruggiero, L. Zanni 2021, Variable metric techniques for forward-backward methods in imaging. Journal of Computational and Applied Mathematics 385, 113192
S. Bonettini, M. Prato, S. Rebegoldi 2021, New convergence results for the inexact variable metric forward-backward method. Applied Mathematics and Computation 391, 125719
V. Bortolotti, G. Landi, F. Zama 2021, 2DNMR data inversion using locally adapted multi-penalty regularization. Computational Geosciences 25, 1215-1228
T.A. Bubba, M. Galinier, L. Ratti, M. Lassas, M. Prato, S. Siltanen 2021, Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography. SIAM Journal on Imaging Science 14(2), 470-505
P. Cascarano, L. Calatroni, E. Loli Piccolomini 2021, Efficient $\ell^0$ gradient-based Super Resolution for simplified image segmentation. IEEE Transactions on Computational Imaging 7, 399-408
P. Cascarano, M.C. Comes, A. Mencattini, M.C. Parrini, E. Loli Piccolomini, E. Martinelli 2021, Recursive Deep Prior Video: A super resolution algorithm for time-lapse microscopy of organ-on-chip experiments. Medical Image Analysis 72, 102124
S. Crisci, M. Piana, V. Ruggiero, S. Scussolini 2021, A regularized affine-scaling Trust Region method for parametric imaging of dynamic PET data. SIAM Journal on Imaging Sciences 14(1), 418-439
D. di Serafino, G. Landi, M. Viola 2021, Directional TGV-based image restoration under Poisson noise. Journal of Imaging 7(6), 99
G. Landi, F. Zama, V. Bortolotti 2021, A new hybrid inversion method for 2D Nuclear Magnetic Resonance combining TSVD and Tikhonov regularization. Journal of Imaging 7(2), 18
E. Loli Piccolomini, E. Morotti 2021, A model-based optimization framework for iterative Digital Breast Tomosynthesis image reconstruction. Journal of Imaging 7(2), 36
E. Morotti, D. Evangelista, E. Loli Piccolomini 2021, A green prospective for learned post-processing in sparse-view tomographic reconstruction. Journal of Imaging 7(8), 139
2020
A. Benfenati, E. Chouzenoux, J.-C. Pesquet 2020, Proximal approaches for matrix optimization problems: Application to robust precision matrix estimation. Signal Processing 169, 107417
C. Bertocchi, E. Chouzenoux, M.-C. Corbineau, J.-C. Pesquet, M. Prato 2020, Deep unfolding of a proximal interior point method for image restoration. Inverse Problems 36(3), 034005
S. Bonettini, M. Prato, S. Rebegoldi 2020, Convergence of inexact forward-backward algorithms using the forward-backward envelope. SIAM Journal on Optimization 30(4), 3069-3097
P. Cascarano, F. Corsini, S. Gandolfi, E. Loli Piccolomini, E. Mandanici, L. Tavasci, F. Zama 2020, Super-resolution of thermal images using an automatic total variation based method. Remote sensing 12(10), 1642
R. Cavicchioli, J. Cheng Hu, E. Loli Piccolomini, E. Morotti, L. Zanni 2020, GPU acceleration of a model-based iterative method for Digital Breast Tomosynthesis. Scientific Reports 10, 43
S. Crisci, J. Kruzik, M. Pecha, D. Horak 2020, Comparison of active-set and gradient projection-based algorithms for box-constrained quadratic programming. Soft Computing 24, 17761-17770
S. Crisci, F. Porta, V. Ruggiero, L. Zanni 2020, Spectral properties of Barzilai-Borwein rules in solving singly linearly constrained optimization problems subject to lower and upper bounds. SIAM Journal on Optimization 30(2), 1300-1326
D. di Serafino, G. Landi, M. Viola 2020, ACQUIRE: an inexact iteratively reweighted norm approach for TV-based Poisson image restoration. Applied Mathematics and Computation 364, 124678
G. Franchini, R. Cavicchioli, J.C. Hu 2020, Automatic stochastic dithering techniques on GPU: Image quality and processing time improved. Advances in Science, Technology and Engineering Systems 5(6), 653-663
G. Franchini, V. Ruggiero, L. Zanni 2020, Ritz-like values in steplength selections for stochastic gradient methods. Soft Computing 24, 17573-17588
E. Loli Piccolomini, F. Zama 2020, Monitoring Italian COVID-19 spread by a forced SEIRD model. Plos One 15(8): e0237417