Concept

Symmetric tensor

Related publications (38)

Algorithm 941: htucker-A MATLAB Toolbox for Tensors in Hierarchical Tucker Format

The hierarchical Tucker format is a storage-efficient scheme to approximate and represent tensors of possibly high order. This article presents a MATLAB toolbox, along with the underlying methodology and algorithms, which provides a convenient way to work ...

Assoc Computing Machinery2014

A C++11 implementation of arbitrary-rank tensors for high-performance computing

Alejandro Marcos Aragon

This article discusses an efficient implementation of tensors of arbitrary rank by using some of the idioms introduced by the recently published C++ ISO Standard (C++11). With the aims at providing a basic building block for high-performance computing, a s ...

Elsevier Science Bv2014

Quantitative comparison of reconstruction methods for intra-voxel fiber recovery from diffusion MRI

Jean-Philippe Thiran, Yves Wiaux, Erick Jorge Canales Rodriguez, Alonso Ramirez Manzanares, Alessandro Daducci, Maxime Descoteaux, Ying-Chia Lin, Gloria Menegaz, Mathews Jacob

Validation is arguably the bottleneck in the diffusion MRI community. This paper evaluates and compares 20 algorithms for recovering the local intra-voxel fiber structure from diffusion MRI data and is based on the results of the "HARDI reconstruction chal ...

Institute of Electrical and Electronics Engineers2014

Dynamical Approximation By Hierarchical Tucker And Tensor-Train Tensors

We extend results on the dynamical low-rank approximation for the treatment of time-dependent matrices and tensors (Koch and Lubich; see [SIAM J. Matrix Anal. Appl., 29 (2007), pp. 434-454], [SIAM J. Matrix Anal. Appl., 31 (2010), pp. 2360-2375]) to the re ...

Society for Industrial and Applied Mathematics2013

Separable Filter Learning with Tensor Decomposition

Bugra Tekin

Learned image features can provide great accuracy in many Computer Vision tasks. However, when the convolution filters used to learn image features are numerous and not separable, feature extraction becomes computationally de- manding and impractical to us ...

2013

Learning Separable Filters with Shared Parts

Bugra Tekin

2013

Tensors, Monads And Actions

Gavin Jay Seal

We exhibit sufficient conditions for a monoidal monad T on a monoidal category C to induce a monoidal structure on the Eilenberg-Moore category C^T that represents bimorphisms. The category of actions in C^T is then shown to be monadic over the base catego ...

Mount Allison University2013

Towards Modular Control for Moderately Fast Locomotion over Unperceived Rough Terrain

Auke Ijspeert, Alexander Spröwitz, Soha Pouya, Mostafa Ajallooeian, Alexandre Tuleu, Sébastien Gay

We are motivated to build simple controllers for quadruped robots to locomote over unperceived moderately difficult rough terrain at moderately fast speeds. The presented approach here does not need force sensing at feet, and does not need information abou ...

2013

Prospective and retrospective motion correction in diffusion magnetic resonance imaging of the human brain

Rolf Gruetter, Tobias Kober

Diffusion-weighting in magnetic resonance imaging (MRI) increases the sensitivity to molecular Brownian motion, providing insight in the micro-environment of the underlying tissue types and structures. At the same time, the diffusion weighting renders the ...

Elsevier2012

Tensor Products of Weil Modules

Alex Monnard

The aim of this work is to understand the decomposition, in irreducible modules, of tensor products of Weil modules for Sp2n(3). To do this, we begin by computing the Weil modules for Sp4(3), Sp6(3) and Sp8(3) in order to understand how tensor products dec ...

2010

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