Publications related to Tensor

Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates

It is shown that the set of equations known as “Maxwell’s equations” perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing topologic ...

2016

Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates

Gérard Gremaud

It is shown that the set of equations known as “Maxwell’s equations” perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices, containing topologic ...

2016

Charge transport in superionic and melted AgI under a magnetic field studied via molecular dynamics

Sara Bonella, Luca Gagliardi

Charge transport in AgI subject to an external magnetic field is studied via computer simulations. We demonstrate that a recently developed algorithm can effectively complement problematic experiments to detect the ionic Hall effect, and identify previousl ...

Amer Physical Soc2016

Multilinear Low-Rank Tensors on Graphs & Applications

Pierre Vandergheynst, Nauman Shahid, Francesco Grassi

We propose a new framework for the analysis of low- rank tensors which lies at the intersection of spectral graph theory and signal processing. As a first step, we present a new graph based low-rank decomposition which approximates the classical low-rank S ...

2016

Exterior Convexity And Classical Calculus Of Variations

Saugata Bandyopadhyay, Swarnendu Sil

We study the relation between various notions of exterior convexity introduced in [S. Bandyopadhyay, B. Dacorogna and S. Sil, J. Eur. Math. Soc. 17 (2015) 1009-1039.] with the classical notions of rank one convexity, quasiconvexity and polyconvexity. To th ...

Edp Sciences S A2016

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

Riemannian Optimization For High-Dimensional Tensor Completion

Michael Maximilian Steinlechner

Tensor completion aims to reconstruct a high-dimensional data set where the vast majority of entries is missing. The assumption of low-rank structure in the underlying original data allows us to cast the completion problem into an optimization problem rest ...

Siam Publications2016

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations that capture the long time dispersive effects of wave propagation in heterogeneous media in an arbitrary large periodic spatial domain

\Omega \subset \mathbb{R}^d

over long time is proposed and analyzed. For a wave equatio ...

MATHICSE2016

Binary Sparse Coding of Convolutive Mixtures for Sound Localization and Separation via Spatialization

Hervé Bourlard, Volkan Cevher, Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

We propose a sparse coding approach to address the problem of source-sensor localization and speech reconstruction. This approach relies on designing a dictionary of spatialized signals by projecting the microphone array recordings into the array manifolds ...

Institute of Electrical and Electronics Engineers2016

A Switched Oscillator Geometry Inspired by a Curvilinear Space-Part I: DC Considerations

We present a new technique for the design and test of coaxial switched oscillators (SWOs). In this paper (Part I of a two-part paper), we concentrate on the electrostatic design of coaxial SWOs. We introduce a new design for the electrodes, which have been ...

Institute of Electrical and Electronics Engineers2016

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Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates

Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates

Charge transport in superionic and melted AgI under a magnetic field studied via molecular dynamics

Multilinear Low-Rank Tensors on Graphs & Applications

Exterior Convexity And Classical Calculus Of Variations

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

Riemannian Optimization For High-Dimensional Tensor Completion

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Binary Sparse Coding of Convolutive Mixtures for Sound Localization and Separation via Spatialization

A Switched Oscillator Geometry Inspired by a Curvilinear Space-Part I: DC Considerations

Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates

Exterior Convexity And Classical Calculus Of Variations

Maxwell’s equations as a special case of deformation of a solid lattice in Euler’s coordinates

A Switched Oscillator Geometry Inspired by a Curvilinear Space-Part I: DC Considerations

Charge transport in superionic and melted AgI under a magnetic field studied via molecular dynamics

MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Multilinear Low-Rank Tensors on Graphs & Applications

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

Binary Sparse Coding of Convolutive Mixtures for Sound Localization and Separation via Spatialization

Riemannian Optimization For High-Dimensional Tensor Completion