5 papers
A PDE-Based Framework for Generative Modeling Beyond Classical Score-Based Diffusion
Horacio Tettamanti, Michael Herty
We introduce an alternative generative framework based on a nonlinear modification of the classical Ornstein--Uhlenbeck dynamics. The proposed dynamics admits both a microscopic de…
A Multiscale Kinetic Framework for Image Segmentation: From Particle Systems to Continuum Models
Horacio Tettamanti, Giulia Guicciardi, Mattia Zanella
In this work, we present a multiscale kinetic framework for consensus-based image segmentation. By interpreting an image as a system of interacting particles, each pixel is charact…
Kinetic SIS opinion-driven models with asymmetric awareness feedback: macroscopic limit and polarization
Juan Pablo Pinasco, Nicolas Saintier, Horacio Tettamanti +1
We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission.…
Kinetic and mean-field modeling of muscular dystrophies
Tommaso Lorenzi, Horacio Tettamanti, Mattia Zanella
We present a new class of models for assessing the cell dynamics characterising muscular dystrophies. The proposed approach comprises a system of integro-differential equations for…
Understanding the Impact of Evaluation Metrics in Kinetic Models for Consensus-based Segmentation
Raffaella Fiamma Cabini, Horacio Tettamanti, Mattia Zanella
In this article we extend a recently introduced kinetic model for consensus-based segmentation of images. In particular, we will interpret the set of pixels of a 2D image as an int…