activity
20202025
most citedMicrowave Remote Sensing of Soil Moisture, Above Ground Biomass and Freeze-Thaw Dynamic: Modeling and Empirical Approaches

3 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

stat.CO2025

Bayesian Inversion via Probabilistic Cellular Automata: an application to image denoising

Danilo Costarelli, Michele Piconi, Alessio Troiani

We propose using Probabilistic Cellular Automata (PCA) to address inverse problems with the Bayesian approach. In particular, we use PCA to sample from an approximation of the post…

math.FA2025

A characterization of generalized Lipschitz classes by the rate of convergence of semi-discrete operators

Danilo Costarelli, Michele Piconi, Gianluca Vinti

In this paper, we establish a comprehensive characterization of the generalized Lipschitz classes through the study of the rate of convergence of a family of semi-discrete sampling…

math.NA2025

Image resizing by neural network operators and their convergence rate with respect to the -norm and the dissimilarity index defined through the continuous SSIM

Danilo Costarelli, Mariarosaria Natale, Michele Piconi

In literature, several algorithms for imaging based on interpolation or approximation methods are available. The implementation of theoretical processes highlighted the necessity o…

math.FA2025★ 2 cited

Strong and weak sharp bounds for Neural Network Operators in Sobolev-Orlicz spaces and their quantitative extensions to Orlicz spaces

Danilo Costarelli, Michele Piconi

In this paper, we establish sharp bounds for a family of Kantorovich-type neural network operators within the general frameworks of Sobolev-Orlicz and Orlicz spaces. We establish b…

math.NA2024★ 3 cited

Microwave Remote Sensing of Soil Moisture, Above Ground Biomass and Freeze-Thaw Dynamic: Modeling and Empirical Approaches

Laura Angeloni, Domenico Daniele Bloisi, Paolo Burghignoli +6

Human actions have accelerated changes in global temperature, precipitation patterns, and other critical Earth systems. Key markers of these changes can be linked to the dynamic of…

math.NA2024★ 2 cited

Implementation of neural network operators with applications to remote sensing data

Danilo Costarelli, Michele Piconi

In this paper, we provide two algorithms based on the theory of multidimensional neural network (NN) operators activated by hyperbolic tangent sigmoidal functions. Theoretical resu…

math.FA2020

On the convergence properties of Durrmeyer-Sampling Type Operators in Orlicz spaces

Danilo Costarelli, Michele Piconi, Gianluca Vinti

Here we provide a unifying treatment of the convergence of a general form of sampling type operators, given by the so-called Durrmeyer sampling type series. In particular we provid…