Publications associées à Polynôme homogène

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Simone Deparis, Luca Pegolotti, Antonio Iubatti

This work focuses on the development of a non-conforming method for the coupling of PDEs based on weakly imposed transmission conditions: the continuity of the global solution is enforced by a finite number of Lagrange multipliers defined over the interfac ...

2019

A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

Simon Clément Damien Lemaire

We devise a Hybrid High-Order (HHO) method for highly oscillatory elliptic problems that is capable of handling general meshes. The method hinges on discrete unknowns that are polynomials attached to the faces and cells of a coarse mesh; those attached to ...

WALTER DE GRUYTER GMBH2019

A General Theory of Equivariant CNNs on Homogeneous Spaces

Mario Geiger

We present a general theory of Group equivariant Convolutional Neural Networks (G-CNNs) on homogeneous spaces such as Euclidean space and the sphere. Feature maps in these networks represent fields on a homogeneous base space, and layers are equivariant ma ...

NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2019

A Weak Form Implementation of Nonlinear Axisymmetric Shell Equations With Examples

Pedro Miguel Nunes Pereira de Almeida Reis, Matteo Pezzulla

We present a weak form implementation of the nonlinear axisymmetric shell equations. This implementation is suitable to study the nonlinear deformations of axisymmetric shells, with the capability of considering a general mid-surface shape, non-homogeneous ...

2019

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

Michaël Unser, Julien René Pierre Fageot

Consider a random process s that is a solution of the stochastic differential equation Ls = w with L a homogeneous operator and w a multidimensional Levy white noise. In this paper, we study the asymptotic effect of zooming in or zooming out of the process ...

SPRINGER/PLENUM PUBLISHERS2019

Stable high-order randomized cubature formulae in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We propose and analyse randomized cubature formulae for the numerical integration of functions with respect to a given probability measure μ defined on a domain Γ⊆ℝ^d, in any dimension d. Each cubature formula is conceived to be exact on a given finite dim ...

2018

On compact representations of Voronoi cells of lattices

Matthias Schymura, Christoph Hunkenschröder

In a seminal work, Micciancio & Voulgaris (2010) described a deterministic single-exponential time algorithm for the Closest Vector Problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given lattice and thus may need exponen ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

Four-Variable Expanders Over The Prime Fields

Adrian Claudiu Valculescu, Van Thang Pham

Let F-p be a prime field of order p > 2, and let A be a set in F-p with very small size in terms of p. In this note, we show that the number of distinct cubic distances determined by points in A x A satisfies vertical bar(A - A)(3) + (A - A)(3 vertical bar ...

AMER MATHEMATICAL SOC2018

Yield prediction in parallel homogeneous assembly

Massimo Mastrangeli, Metin Sitti

We investigate the parallel assembly of two-dimensional, geometrically-closed modular target structures out of homogeneous sets of macroscopic components of varying anisotropy. The yield predicted by a chemical reaction network (CRN)-based model is quantit ...

Royal Society of Chemistry2017

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Polynôme homogène

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

A General Theory of Equivariant CNNs on Homogeneous Spaces

A Weak Form Implementation of Nonlinear Axisymmetric Shell Equations With Examples

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

On the definition of multi-Koszul modules

Stable high-order randomized cubature formulae in arbitrary dimension

On compact representations of Voronoi cells of lattices

Four-Variable Expanders Over The Prime Fields

Yield prediction in parallel homogeneous assembly

Graph Chatbot

Chattez avec Graph Search

Four-Variable Expanders Over The Prime Fields

On the definition of multi-Koszul modules

A General Theory of Equivariant CNNs on Homogeneous Spaces

A Weak Form Implementation of Nonlinear Axisymmetric Shell Equations With Examples

A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Scaling Limits of Solutions of Linear Stochastic Differential Equations Driven by Levy White Noises

Stable high-order randomized cubature formulae in arbitrary dimension

On compact representations of Voronoi cells of lattices

Yield prediction in parallel homogeneous assembly