19 citations · 38 across the 11 of their papers we have counts for
13 papers
On some orthogonalization schemes in Tensor Train format
Olivier Coulaud, Luc Giraud, Martina Iannacito
In the framework of tensor spaces, we consider orthogonalization kernels to generate an orthogonal basis of a tensor subspace from a set of linearly independent tensors. In particu…
A robust GMRES algorithm in Tensor Train format
Olivier Coulaud, Luc Giraud, Martina Iannacito
We consider the solution of linear systems with tensor product structure using a GMRES algorithm. In order to cope with the computational complexity in large dimension both in term…
Extension of Correspondence Analysis to multiway data-sets through High Order SVD: a geometric framework
Olivier Coulaud, Alain Franc, Martina Iannacito
This paper presents an extension of Correspondence Analysis (CA) to tensors through High Order Singular Value Decomposition (HOSVD) from a geometric viewpoint. Correspondence analy…
Nonlinear Mapping and Distance Geometry
Alain Franc, Pierre Blanchard, Olivier Coulaud
Distance Geometry Problem (DGP) and Nonlinear Mapping (NLM) are two well established questions: Distance Geometry Problem is about finding a Euclidean realization of an incomplete…
A geometric view of Biodiversity: scaling to metagenomics
Pierre Blanchard, Philippe Chaumeil, Jean-Marc Frigerio +5
We have designed a new efficient dimensionality reduction algorithm in order to investigate new ways of accurately characterizing the biodiversity, namely from a geometric point of…
Asymptotic profiles for the second grade fluids equations in R^2
Olivier Coulaud
In the present paper, we study the long time behaviour of the solutions of the second grade fluids equations in dimension 3. Using scaling variables and energy estimates in weighte…
Asymptotic profiles for the third grade fluids equations
Olivier Coulaud
We study the long time behaviour of the solutions of the third grade fluids equations in dimension 2. Introducing scaled variables and performing several energy estimates in weight…
Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems
Olivier Coulaud, Luc Giraud, Pierre Ramet +1
In this paper we present deflation and augmentation techniques that have been designed to accelerate the convergence of Krylov subspace methods for the solution of linear systems o…
Extensions of the siesta dft code for simulation of molecules
Olivier Coulaud, Patrice Bordat, Pierre Fayon +3
We describe extensions to the siesta density functional theory (dft) code [30], for the simulation of isolated molecules and their absorption spectra. The extensions allow for: - U…
Optimized M2L Kernels for the Chebyshev Interpolation based Fast Multipole Method
Matthias Messner, Bérenger Bramas, Olivier Coulaud +1
A fast multipole method (FMM) for asymptotically smooth kernel functions (1/r, 1/r^4, Gauss and Stokes kernels, radial basis functions, etc.) based on a Chebyshev interpolation sch…
Pipelining the Fast Multipole Method over a Runtime System
Emmanuel Agullo, Béranger Bramas, Olivier Coulaud +3
Fast Multipole Methods (FMM) are a fundamental operation for the simulation of many physical problems. The high performance design of such methods usually requires to carefully tun…
A Parallel Iterative Method for Computing Molecular Absorption Spectra
Peter Koval, Dietrich Foerster, Olivier Coulaud
We describe a fast parallel iterative method for computing molecular absorption spectra within TDDFT linear response and using the LCAO method. We use a local basis of "dominant pr…
Fast construction of the Kohn--Sham response function for molecules
Peter Koval, Dietrich Foerster, Olivier Coulaud
The use of the LCAO (Linear Combination of Atomic Orbitals) method for excited states involves products of orbitals that are known to be linearly dependent. We identify a basis in…