Top-level heading

From Statistical Mechanics towards Generative models, passing thruough (Stochastic) Optimal Transport

In this talk I will introduce a statistical mechanics problem known as the Schrödinger problem, which aims at finding the most likely evolution of a cloud of particles conditionally to initial and fin...

Neural Networks & Machine Learning

Timetable: February, every Mon, Wed and Fri (with two exceptions) at 15:00 in Room 1B, RM002, SBAI Department. After a streamlined historical introduction (e.g. the Turing machine, Rosenblatt's perc...

On the unique continuation for degenerate elliptic operators

We discuss the unique continuation property for linear differential operators of the form sum of squares of vector fields satisfying Hörmander's bracket generating condition. We provide some negative ...

How to express the solution of an ODE as a linear system (in a suitable algebra) and exploit it for fast computation and network analysis

The solution of systems of non-autonomous linear ordinary differential equations is crucial in various applications, such as nuclear magnetic resonance spectroscopy. We introduced a new solution expre...

A short proof of the multiple cover formula

Enumerating genus g curves passing through g points in an abelian surface is a natural problem, whose difficulty highly depends on the degree of the curves. For "primitive" degrees, we have an easy ex...

A smoothed-Bayesian approach to frequency recovery from sketched data

We introduce a novel statistical perspective on a classical problem at the intersection of computer science and information theory: recovering the empirical frequency of a symbol in a large discrete d...

Fineness and smoothness of a KSBA moduli of marked cubic surfaces

The moduli space of cubic surfaces marked by their \(27\) lines admits multiple compactifications arising from different perspectives. By work of Gallardo-Kerr-Schaffler, it is known that Naruki’s cro...

Large deviations for binary collision models

Abstract. I will present some recent results on large deviations for binary collision stochastic models. The paradigmatic model is the Kac’s walk, described, in the kinetic limit, by the homogeneous ...

Winter School on Geometric Flows and Evolution Equations in Geometric Analysis

9:30 Morini (Minicourse Part V) 11:30 Otto (Minicourse Part V) See https://sites.google.com/uniroma1.it/cvga2025/2nd-school for more information. This school is part of the activities of the Excel...
Iscriviti a a.a. 2024-2025