18 citations · 44 across the 12 of their papers we have counts for
15 papers
Adaptive Elastic-Net estimation for sparse diffusion processes
Alessandro De Gregorio, Dario Frisardi, Francesco Iafrate +1
Penalized estimation methods for diffusion processes and dependent data have recently gained significant attention due to their effectiveness in handling high-dimensional stochasti…
Anomalous random flights and time-fractional run-and-tumble equations
Luca Angelani, Alessandro De Gregorio, Roberto Garra +1
Random flights (also called run-and-tumble walks or transport processes) represent finite velocity random motions changing direction at any Poissonian time. These models in d-dimen…
Stochastic solutions for time-fractional heat equations with complex spatial variables
Luisa Beghin, Alessandro De Gregorio
We deal with complex spatial diffusion equations with time-fractional derivative and study their stochastic solutions. In particular, we complexify the integral operator solution t…
Parallel computation of interval bases for persistence module decomposition
Alessandro De Gregorio, Marco Guerra, Sara Scaramuccia +1
A persistence module , with coefficients in a field , is a finite-dimensional linear representation of an equioriented quiver of type or, equivalently, a grade…
Homological Scaffold via Minimal Homology Bases
Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci +2
The homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representa…
Alternative probabilistic representations of Barenblatt-type solutions
Alessandro De Gregorio, Roberto Garra
A general class of probability density functions \[u(x,t)=Ct^{-αd}\left (1-\left (\frac{\|x\|}{ct^α}\right )^β\right )_+^γ,\quad x\in \mathbb{R}^d,t>0,\] is considered, containing…
Landscapes of data sets and functoriality of persistent homology
Wojciech Chacholski, Alessandro De Gregorio, Nicola Quercioli +1
The aim of this article is to describe a new perspective on functoriality of persistent homology and explain its intrinsic symmetry that is often overlooked. A data set for us is a…
Random flights connecting Porous Medium and Euler-Poisson-Darboux equations
Alessandro De Gregorio, Enzo Orsingher
In this paper we consider the Porous Medium Equation and establish a relationship between its Kompanets-Zel'dovich-Barenblatt solution $u(\xd,t), \xd\in \mathbb R^d,t>0$ and random…
Reflecting random flights
Alessandro De Gregorio, Enzo Orsingher
We consider random flights in reflecting on the surface of a sphere with center at the origin and with radius where reflection is performe…
Large deviations for a damped telegraph process
Alessandro De Gregorio, Claudio Macci
In this paper we consider a slight generalization of the damped telegraph process in Di Crescenzo and Martinucci (2010). We prove a large deviation principle for this process and a…
A family of random walks with generalized Dirichlet steps
Alessandro De Gregorio
We analyze a class of continuous time random walks in with uniformly distributed directions. The steps performed by these processes are distributed according…
On the asymptotic behavior of the hyperbolic Brownian motion
Valentina Cammarota, Alessandro De Gregorio, Claudio Macci
The main results in this paper concern large and moderate deviations for the radial component of a -dimensional hyperbolic Brownian motion (for ) on the Poincaré half-s…
On random flights with non-uniformly distributed directions
Alessandro De Gregorio
This paper deals with a new class of random flights defined in the real space characterized by non-uniform probability distri…
Stochastic velocity motions and processes with random time
Alessandro De Gregorio
The aim of this paper is to analyze a class of random motions which models the motion of a particle on the real line with random velocity and subject to the action of the friction.…
On penalized estimation for dynamical systems with small noise
Alessandro De Gregorio, Stefano Iacus
We consider a dynamical system with small noise for which the drift is parametrized by a finite dimensional parameter. For this model we consider minimum distance estimation from c…