Prossimi seminari del Dipartimento di Matematica

Giugno
dal giorno
04/06/2026
al giorno
05/06/2026
Conference
da giovedì 04 giugno 2026 a venerdì 05 giugno 2026
Conference NonPUB2 aims to give visibility to early-career researchers in the field of partial differential equations and the calculus of variations, as well as to fostering the network within both the Italian and the international communities. This project is a natural continuation of the previous editions, this year specifically seeking to deepen the themes of analysis on sub-Riemannian manifolds and the study of regularity of solutions to nonlinear equations.
The course sessions will introduce linear time-invariant (LTI) systems and the related concepts and techniques of convolution, the z-transform, transfer functions, pole-zero diagrams, difference equations, frequency responses, the discrete-time Fourier transform, and frequency spectra. The discrete Fourier transform and Fast Fourier transform will be described and utilized. We will discuss the design and use of digital filters including notch filters for the elimination of tonal noise from signals, with examples and exercises in Matlab. The short-time Fourier transform (STFT) will be introduced. To extend these methods (e.g., to signals with missing data or non-uniformly sampled data), we will explain the use of least-squares (in a deterministic setting) to a variety of signal processing problems through their formulation as inverse problems. Standard LTI filters will be viewed and implemented in matrix form, and matrix-free solvers will be noted. The optimization-based inverse problem formulation framework will be extended from least-squares to nonlinear filters based on sparse signal models. The concept of sparse signal models will be introduced, along with transform-domain sparsity. The STFT, discrete wavelet transform, and total variation will be introduced as examples of transform-domain sparsity. For solving the corresponding optimization problems, the majorization-minimization (MM) framework will be illustrated, leading to iterative reweighted least squares and iterative soft-thresholding algorithms.
Giugno
dal giorno
15/06/2026
al giorno
19/06/2026
Conference
da lunedì 15 giugno 2026 a venerdì 19 giugno 2026
Since 2004, the ACOTCAs offer a number of mini-courses and seminars at the interface between complex analysis and operator theory. See https://sites.google.com/view/acotca-2026/home?authuser=0 and, for previous editions, https://sites.google.com/view/acotca-2026/previous-editions?authuser=0