Publications associées à Complex differential form

Linear Complexity Self-Attention With 3rd Order Polynomials

Self-attention mechanisms and non-local blocks have become crucial building blocks for state-of-the-art neural architectures thanks to their unparalleled ability in capturing long-range dependencies in the input. However their cost is quadratic with the nu ...

Los Alamitos2023

Experimental investigation of beams under coupled bending and torsion

Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel

The design of doubly-curved systems called for innovative modelling techniques to evaluate the final geometry of the structure. They can simulate the behaviour of beams under large displacements. Even though it is never analysed, the deformation path is ca ...

International Center for Numerical Methods in Engineering (CIMNE)2019

Edge states control droplet breakup in subcritical extensional flows

François Gallaire, Tobias Schneider, Giacomo Gallino

A fluid droplet suspended in an extensional flow of moderate intensity may break into pieces, depending on the amplitude of the initial droplet deformation. In subcritical uniaxial extensional flow the nonbreaking base state is linearly stable, implying th ...

2018

Reconstructing Curvilinear Networks using Path Classifiers and Integer Programming

Pascal Fua, Engin Türetken, Fethallah Benmansour, Przemyslaw Rafal Glowacki

We propose a novel Bayesian approach to automated delineation of curvilinear structures that form complex and potentially loopy networks. By representing the image data as a graph of potential paths, we first show how to weight these paths using discrimina ...

Institute of Electrical and Electronics Engineers2016

Designer Matter: A perspective

Pedro Miguel Nunes Pereira de Almeida Reis

The surge of modern techniques to fabricate structured materials paired with our ever deeper understanding of complex forms of matter present us with the opportunity to make and study dramatically new forms of designed materials and structures.This movemen ...

2015

Reconstructing Loopy Curvilinear Structures Using Integer Programming

Pascal Fua, Engin Türetken, Fethallah Benmansour

We propose a novel approach to automated delineation of linear structures that form complex and potentially loopy networks. This is in contrast to earlier approaches that usually assume a tree topology for the networks. At the heart of our method is an Int ...

Ieee2013

Stable averages of central values of Rankin-Selberg L-functions: Some new variants

Paul David Nelson

As shown by Michel and Ramakrishnan (2007) and later generalized by Feigon and Whitehouse (2008), there are "stable" formulas for the average central L-value of the Rankin-Selberg convolutions of some holomorphic forms of fixed even weight and large level ...

Academic Press Inc Elsevier Science2013

Generalized reduced basis methods and n-width estimates for the approximation of the solution manifold of parametric PDEs

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila

The set of solutions of a parameter-dependent linear partial differential equation with smooth coefficients typically forms a compact manifold in a Hilbert space. In this paper we review the generalized reduced basis method as a fast computational tool for ...

Springer2012

Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems

Jinbing Chen

A treatment is described for getting some algebro-geometric solutions of the coupled modified Kadomtsev-Petviashvili (cmKP) equations and a hierarchy of 1 + 1 dimensional integrable nonlinear evolution equations (INLEEs) by using the Neumann type systems t ...

American Institute of Physics2012

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Complex differential form

Cochains are all you need

Linear Complexity Self-Attention With 3rd Order Polynomials

Experimental investigation of beams under coupled bending and torsion

Edge states control droplet breakup in subcritical extensional flows

Reconstructing Curvilinear Networks using Path Classifiers and Integer Programming

Designer Matter: A perspective

Reconstructing Loopy Curvilinear Structures Using Integer Programming

Stable averages of central values of Rankin-Selberg L-functions: Some new variants

Generalized reduced basis methods and n-width estimates for the approximation of the solution manifold of parametric PDEs

Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems

Graph Chatbot

Chattez avec Graph Search

Edge states control droplet breakup in subcritical extensional flows

Reconstructing Loopy Curvilinear Structures Using Integer Programming

Designer Matter: A perspective

Experimental investigation of beams under coupled bending and torsion

Reconstructing Curvilinear Networks using Path Classifiers and Integer Programming

Linear Complexity Self-Attention With 3rd Order Polynomials

Stable averages of central values of Rankin-Selberg L-functions: Some new variants

Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems

Generalized reduced basis methods and n-width estimates for the approximation of the solution manifold of parametric PDEs