Publications associées à Opérateur compact

Localized orthogonal decomposition method for the wave equation with a continuum of scales

In this paper we propose and analyze a new multiscale method for the wave equation. The proposed method does not require any assumptions on space regularity or scale-separation and it is formulated in the framework of the Localized Orthogonal Decomposition ...

American Mathematical Society2017

Towards stationary time-vertex signal processing

Pierre Vandergheynst, Nathanaël Perraudin, Andreas Loukas, Francesco Grassi

Graph-based methods for signal processing have shown promise for the analysis of data exhibiting irregular structure, such as those found in social, transportation, and sensor networks. Yet, though these systems are often dynamic, state-of-the-art methods ...

2016

MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

Fabio Nobile, Francesca Bonizzoni

The present work concerns the approximation of the solution map S associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution o ...

MATHICSE2016

On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems

Daniel Kressner, André Uschmajew

Low-rank tensor approximation techniques attempt to mitigate the overwhelming complexity of linear algebra tasks arising from high-dimensional applications. In this work, we study the low-rank approximability of solutions to linear systems and eigenvalue p ...

Elsevier Science Inc2016

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

Daniel Kressner, Michael Maximilian Steinlechner

The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the number ...

Siam Publications2016

A General Framework for Architecture Composability

Joseph Sifakis, Simon Bliudze, Eduard Baranov

Architectures depict design principles: paradigms that can be understood by all, allow thinking on a higher plane and avoiding low-level mistakes. They provide means for ensuring correctness by construction by enforcing global properties characterizing the ...

Springer Verlag2016

Pitfalls Of Doppler Measurements For Arterial Blood Flow Quantification In Small Animal Research: A Study Based On Virtual Ultrasound Imaging

Bram Trachet, Patrick Segers

High-resolution Doppler is a popular tool for evaluating cardiovascular physiology in mutant mice, though its 1-D nature and spectral broadening processes complicate interpretation of the measurement. Hence, it is crucial for pre-clinical researchers to kn ...

Elsevier2016

Structure Tensor Total Variation

Michaël Unser, Stamatios Lefkimmiatis

We introduce a novel generic energy functional that we employ to solve inverse imaging problems within a variational framework. The proposed regularization family, termed as structure tensor total variation (STV), penalizes the eigenvalues of the structure ...

SIAM2015

ShapeNet: Convolutional Neural Networks on Non-Euclidean Manifolds

Pierre Vandergheynst, Michael Bronstein

Feature descriptors play a crucial role in a wide range of geometry analysis and processing applications, including shape correspondence, retrieval, and segmentation. In this paper, we propose ShapeNet, a generalization of the popular convolutional neural ...

2015

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Opérateur compact

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Towards stationary time-vertex signal processing

MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

A General Framework for Architecture Composability

Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

Pitfalls Of Doppler Measurements For Arterial Blood Flow Quantification In Small Animal Research: A Study Based On Virtual Ultrasound Imaging

Structure Tensor Total Variation

ShapeNet: Convolutional Neural Networks on Non-Euclidean Manifolds

Graph Chatbot

Chattez avec Graph Search

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Structure Tensor Total Variation

MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems

Preconditioned Low-Rank Riemannian Optimization For Linear Systems With Tensor Product Structure

Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

Pitfalls Of Doppler Measurements For Arterial Blood Flow Quantification In Small Animal Research: A Study Based On Virtual Ultrasound Imaging

A General Framework for Architecture Composability

ShapeNet: Convolutional Neural Networks on Non-Euclidean Manifolds

Towards stationary time-vertex signal processing