Výsledky vyhledávání - "Tauzin, Guillaume"

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Inertial range statistics of the Entropic Lattice Boltzmann in 3D turbulence

Autor: Buzzicotti, Michele, Tauzin, Guillaume

Publikováno v: Phys. Rev. E 104, 015302 (2021)

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. ELBM is a promising mesoscopic model particularly interesting for the

Externí odkaz: http://arxiv.org/abs/2101.09466

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giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration

Autor: Tauzin, Guillaume, Lupo, Umberto, Tunstall, Lewis, Pérez, Julian Burella, Caorsi, Matteo, Reise, Wojciech, Medina-Mardones, Anibal, Dassatti, Alberto, Hess, Kathryn

Publikováno v: NeurIPS 2020 workshop "Topological Data Analysis and beyond" (https://openreview.net/forum?id=fjQtZJOCTXf); JMLR 22 (https://www.jmlr.org/papers/v22/20-325.html)

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++ implementations. The library's ability to handle various types of da

Externí odkaz: http://arxiv.org/abs/2004.02551

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A Topological 'Reading' Lesson: Classification of MNIST using TDA

Autor: Garin, Adélie, Tauzin, Guillaume

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 features using a point cloud obtained from an image, its natural grayscale fi

Externí odkaz: http://arxiv.org/abs/1910.08345

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Persistence Steenrod modules

Autor: Lupo, Umberto, Medina-Mardones, Anibal M., Tauzin, Guillaume

It has long been envisioned that the strength of the barcode invariant of filtered cellular complexes could be increased using cohomology operations. Leveraging recent advances in the computation of Steenrod squares, we introduce a new family of comp

Externí odkaz: http://arxiv.org/abs/1812.05031

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A numerical tool for the study of the hydrodynamic recovery of the Lattice Boltzmann Method

Autor: Tauzin, Guillaume, Biferale, Luca, Sbragaglia, Mauro, Gupta, Abhineet, Toschi, Federico, Bartel, Andreas, Ehrhardt, Matthias

Publikováno v: Computers and Fluids, 172 (2018) 241-250

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 motion on sub-volumes of different sizes. In the context of 2D isotropic

Externí odkaz: http://arxiv.org/abs/1809.06735

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