Concept
Tenseur symétrique
Publications associées (38)
Low-Rank Tensor Methods for High-Dimensional Problems
In this thesis, we propose and analyze novel numerical algorithms for solving three different high-dimensional problems involving tensors. The commonality of these problems is that the tensors can potentially be well approximated in low-rank formats. Ident ...
EPFL2023Rank-Adaptive Time Integration Of Tree Tensor Networks
A rank-adaptive integrator for the approximate solution of high-order tensor differential equations by tree tensor networks is proposed and analyzed. In a recursion from the leaves to the root, the integrator updates bases and then evolves connection tenso ...
SIAM PUBLICATIONS2023Bootstrapping Heisenberg magnets and their cubic instability
We study the critical O(3) model using the numerical conformal bootstrap. In particular, we use a recently developed cutting-surface algorithm to efficiently map out the allowed space of conformal field theory data from correlators involving the leading O( ...
AMER PHYSICAL SOC2021Complements to Mugge and Friedel's Theory of Twinning
The crystallography of twinning is based on the concepts of simple shear and obliquity introduced by Mugge, Mallard and Friedel at the turn of the last century, with tensor mathematics later developed by Bilby, Bevis and Crocker in the 1960s. We propose a ...
2020Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales
Timothée Noé Pouchon, Assyr Abdulle
A family of effective equations for wave propagation in periodic media for arbitrary timescales O(epsilon-alpha), where epsilon MUCH LESS-THAN1 is the period of the tensor describing the medium, is proposed. The well-posedness of the effective equations of ...
SPRINGER2020Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization
Nicolas Macris, Jean François Emmanuel Barbier, Clément Dominique Luneau
We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its mutual information when the tensor is of even order. The proof uses the adaptive interpolation method, for which rank-on ...
IEEE2019Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic
Let be a classical group with natural module over an algebraically closed field of good characteristic. For every unipotent element of , we describe the Jordan block sizes of on the irreducible -modules which occur as compositio ...
2019Fiber orientation distribution function from non-negative sparse recovery with quantitative analysis of local fiber orientations and tractography using DW-MRI datasets
Diffusion weighted MRI (DW-MRI) is the unique non-invasive imaging modality capable of estimating in vivo the structure of the white matter. In this paper, we propose, evaluate and validate a new DW-MRI method to model and recover high quality tractogram e ...
2018