Publications related to Vector space

On The Image Of The Almost Strict Morse N-Category Under Almost Strict N-Functors

In an earlier work, we constructed the almost strict Morse n-category X which extends Cohen Sz Jones Sz Segal's flow category. In this article, we define two other almost strict n-categories V and W where V is based on homomorphisms between real vector spa ...

Mount Allison University2014

Mixed Potentials for Planar Multilayered Structures Including Conductive Interfaces

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis

A complete and automatized strategy has been developed to derive the Vector and Scalar Potential Green’s Functions (GFs) of planar multilayered structures that include conductive sheets. The propagator matrix technique is enhanced to include conductive she ...

2014

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

André Uschmajew

In this note we estimate the asymptotic rates for the L-2-error decay and the storage cost when approximating 2 pi-periodic, d-variate functions from isotropic and mixed Sobolev classes by the recent hierarchical tensor format as introduced by Hackbusch an ...

Academic Press Inc Elsevier Science2014

Exponential convergence of the hp version of isogeometric analysis of 1D

Annalisa Buffa

We establish exponential convergence of the hp-version of isogeometric analysis for second order elliptic problems in one spacial dimension. Specifically, we construct, for functions which are piecewise analytic with a finite number of algebraic singularit ...

Springer, Cham2014

Actions of amenable equivalence relations on CAT(0) fields

Martin Anderegg, Philippe Paul Antoine Henry

We present the general notion of Borel fields of metric spaces and show some properties of such fields. Then we make the study specific to the Borel fields of proper CAT(0) spaces and we show that the standard tools we need behave in a Borel way. We also i ...

Cambridge University Press2014

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Nicola Marzari, Giovanni Pizzi

wannier90 is a program for calculating maximally-localised Wannier functions (MLWFs) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands. The formalism works by minimising the total spread of the MLWFs in real spac ...

Elsevier Science Bv2014

Tensor optimisation for optical-interferometric imaging

Jean-Philippe Thiran, Yves Wiaux, Rafael Eduardo Carrillo Rangel, Anna Auria Rasclosa

Image recovery in optical interferometry is an ill-posed nonlinear inverse problem arising from incomplete power spectrum and bispectrum measurements. We reformulate this nonlin- ear problem as a linear problem for the supersymmetric rank-1 order-3 tensor ...

Oxford Univ Press2014

Fast Partitioning of Vector-Valued Images

Martin Kurt Storath

We propose a fast splitting approach to the classical variational formulation of the image partitioning problem, which is frequently referred to as the Potts or piecewise constant Mumford-Shah model. For vector-valued images, our approach is significantly ...

Siam Publications2014

SWISS FRENCH REGIONAL ACCENT IDENTIFICATION

Sébastien Marcel, Philip Neil Garner

In this paper an attempt is made to automatically recognize the speaker’s accent among regional Swiss French accents from four different regions of Switzerland, i.e. Geneva (GE), Martigny (MA), Neuchˆatel (NE) and Nyon (NY). To achieve this goal, we rely o ...

2014

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Michaël Unser, Virginie Sophie Uhlmann

Cardinal Hermite exponential spline functions are a generalization of the classical cardinal Hermite polynomial splines. In this work we consider the 4-dimensional space

ε _{ 4 }

= {1, x,

e ^{ \alpha x }

,

e ^{ -\alpha x }

} with α ∈ $ ℝ ^{ + } ...

SMAI-SIGMA2014

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On The Image Of The Almost Strict Morse N-Category Under Almost Strict N-Functors

Mixed Potentials for Planar Multilayered Structures Including Conductive Interfaces

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

Exponential convergence of the hp version of isogeometric analysis of 1D

Actions of amenable equivalence relations on CAT(0) fields

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Tensor optimisation for optical-interferometric imaging

Fast Partitioning of Vector-Valued Images

SWISS FRENCH REGIONAL ACCENT IDENTIFICATION

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

On The Image Of The Almost Strict Morse N-Category Under Almost Strict N-Functors

Mixed Potentials for Planar Multilayered Structures Including Conductive Interfaces

Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

Exponential convergence of the hp version of isogeometric analysis of 1D

Actions of amenable equivalence relations on CAT(0) fields

Tensor optimisation for optical-interferometric imaging

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Fast Partitioning of Vector-Valued Images

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

SWISS FRENCH REGIONAL ACCENT IDENTIFICATION