PLENARY TALKS:
Stefania Bellavia
TITLE: Stochastic Objective Function Free Algorithms for Optimization Problems
Abstract: This talk presents the class of Objective Function-Free Optimization (OFFO) algorithms—numerical optimization methods in which the objective function value is never computed, even though it is assumed to exist. First-order OFFO methods are widely used in fields such as machine learning and sparse optimization. Among these, the so-called adaptive gradient methods are particularly widespread (e.g., Adagrad, ADADELTA, Adam). All these methods share the characteristic of relying exclusively on current and past gradient information to adaptively determine the step size at each iteration.
Recently, it has been shown that Adagrad can be interpreted as a trust-region method where the radius is calculated without evaluating the objective function, making it significantly more robust to noise. This interpretation has paved the way for extensive research into both deterministic and stochastic OFFO methods for constrained and unconstrained problems. We present and discuss variants of Adagrad that are capable of utilizing (possibly very approximate) second-order information whenever available, can handle bound constraints on the variables, and can solve more general problems involving both equality and inequality constraints
Paolo Zunino
TITLE: Scientific Machine Learning and Digital Twins for Computational Oncology
Abstract: The integration of scientific machine learning with model order reduction techniques offers powerful tools for addressing the complexity and multiscale nature of physiological systems in oncology. In this talk, we explore how deep learning-based reduced order models enable efficient and accurate approximations of high-dimensional parametric PDEs, particularly in microvascular and tissue models. These methods are crucial for simulating oxygen delivery, drug transport, and tissue perfusion in realistic anatomical domains under clinical constraints.
PROGRAM:
09:00 - Saluti Istituzionali
09.15 - 10:00 - Stefania Bellavia
10:05 - 10:25 - Corrado Mencar
10:30 - 10:55 - Sabrina Francesca Pellegrino
11:00 - 11:30 COFFEE BREAK
11:30 - 11:55 Cosimo Tosto
12:00 - 12:25 Flavia Esposito
12:30 - 12:55 Nicola Amoroso
13:00 - 15:00 PAUSA PRANZO
15:00 - 15:45 Paolo Zunino
15:50 - 16:15 Marina Popolizio
16:20 - 16:45 Tommaso Di Noia
16:50 ------ Poster Session con Coffee Break!