Agenda

THE RANDOM FOREST ALGORITHM AND RELATED REPRODUCING KERNELS II, Nicola Arcozzi

Seminario I - In presence and online event

The reproducing kernel introduced in the first seminar, and the corresponding Hilbert space structure, are studied using tools from Fourier theory on finite abelian groups.

Pavel Mozolyako, The weighted Hardy operator on the poly-tree

Seminario II - In presence and online event

Isidoros Iakovidis: THE RANDOM FOREST ALGORITHM AND RELATED REPRODUCING KERNELS I

Seminario II - In presence and online event

In 2015 the consistency of the random forest algorithm was linked to a particular reproducing kernel. In the first of some expository talks, I introduce the algorithm and the kernel in question.

GEOMETRIC TOOLS IN FUNCTION THEORY (AND THE HEISENBERG GROUP) V, Nicola Arcozzi

Seminario I - In presence and online event

5th and last. The horocycles in the hyperbolic disc carry the structure of a commutative group, hence a (crucial) notion of Fourier transform. In the complex ball, the corresponding (Heisenberg) group is noncommutative, hence its Fourier theory is more twisted, although not less crucial.

GEOMETRIC TOOLS IN FUNCTION THEORY (AND THE HEISENBERG GROUP) IV, Nicola Arcozzi

Seminario I - In presence and online event

4th in this series of expository seminars. We leave the complex world and discuss some geometric aspects of the Heisenberg group (Riemannian and sub-Riemannian) per se: geodesics, metric spheres, horizontal curves, consequences of the two-step structure of the group.

GEOMETRIC TOOLS IN FUNCTION THEORY (AND THE HEISENBERG GROUP) III, Nicola Arcozzi

Seminario I

From the Siegel domain to the Heisenberg group, with the relevant Riemannian (and sub-Remannian) metrics.

GEOMETRIC TOOLS IN FUNCTION THEORY (AND THE HEISENBERG GROUP) II, Nicola Arcozzi

Seminario I - In presence and online event

In this second seminar we see that the unit ball in several complex variables carries a Riemannian metric which is invariant under automorphisms. Its restrictions to horocycles converge, after rescaling, to a sub-Riemannian metric on the boundary, which has a natural Lie group structure.

Nicola Arcozzi: GEOMETRIC TOOLS IN FUNCTION THEORY (AND THE HEISENBERG GROUP) I

Seminario II - In presence and online event

In the first of series of expository seminars we review the Poincaré metric, and its connetion to function theory in the unit disc. https://unibo.zoom.us/j/86406355645?pwd=SzhUd3FIa3V1emZSVFZOK0svQ3I4dz09#success Passcode: 779096

Gianluca Giacchi: Eardrums writing scores: time-frequency analysis, the handbook of absolute pitches

Seminario I - In presence and online event

A score contains all the information needed to reproduce a music signal in time: the notes representing different frequencies and the octaves being their amplitudes...

Gianluca Giacchi, The inverse problem in compressed sensing

Aula Arzelà - In presence and online event

This seminar aims to provide the fundamental theory of optimization that lies beneath the many Compressed Sensing applications, with particular regard to convex minimization and Lagrange theory.

Michelangelo Cavina, A STOCHASTIC VIEW OF CAFFARELLI-SILVESTRE THEOREM

Aula Vitali and zoom

https://www.dm.unibo.it/seminari/mat/seminars/2814/print