Organized by the Image Processing Group of the Unione Matematici Italiani, for further information contact Prof. Serena Morigi (serena.morigi@unibo.it)
Duration: 24 hours
Offered: January/February 2022, free of charge
Structure:
Course composed of four blocks taught each in an Italian institution (UnInsubria, UniMoRe, UniBo, UniGe).
The course will take place in a blended format where, for each block, some local audience will attend classes “in presence” while the non-local students will follow the course via online platforms.
Course contents (roughly):
- 1st block: introduction to inverse problems in imaging, singular value decomposition, regularisation theory, Tikhonov filters, iterative regularization methods, structured matrices. Fourier transform in discrete setting (DFT, FFT), wavelet representation of signals, sparsity.
- 2nd block: numerical optimization methods in imaging: forward-backward methods in differentiable and non-differentiable optimization, variable metrics, inertial techniques, inexact solution of proximal operator, non-convex problems.
- 3rd block: ADMM, application to applied inverse problems in Imaging; restoration, reconstruction, segmentation, inpainting.
- 4th block: basic notions of statistical learning, supervised/unsupervised approaches, applications to standard imaging problems (classification..), deep learning.