4 papers
Inertial range statistics of the Entropic Lattice Boltzmann in 3D turbulence
Michele Buzzicotti, Guillaume Tauzin
We present a quantitative analysis of the inertial range statistics produced by Entropic Lattice Boltzmann Method (ELBM) in the context of 3d homogeneous and isotropic turbulence.…
giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration
Guillaume Tauzin, Umberto Lupo, Lewis Tunstall +6
We introduce giotto-tda, a Python library that integrates high-performance topological data analysis with machine learning via a scikit-learn-compatible API and state-of-the-art C+…
A Topological "Reading" Lesson: Classification of MNIST using TDA
Adélie Garin, Guillaume Tauzin
We present a way to use Topological Data Analysis (TDA) for machine learning tasks on grayscale images. We apply persistent homology to generate a wide range of topological feature…
A numerical tool for the study of the hydrodynamic recovery of the Lattice Boltzmann Method
Guillaume Tauzin, Luca Biferale, Mauro Sbragaglia +4
We investigate the hydrodynamic recovery of Lattice Boltzmann Method (LBM) by analyzing exact balance relations for energy and enstrophy derived from averaging the equations of mot…