Publications related to On the exponential convergence of Matching Pursuits in quasi-incoherent dictionaries

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

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

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

L (p) error estimates for approximation by Sobolev splines and Wendland functions on a"e (d)

John Paul Ward

It is known that a Green's function-type condition may be used to derive rates for approximation by radial basis functions (RBFs). In this paper, we introduce a method for obtaining rates for approximation by functions which can be convolved with a finite ...

Springer US2013

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Marc Maintrot

The objective of this PhD thesis is the approximate computation of the solutions of the Spectral Problem associated with the Laplace operator on a compact Riemann surface without boundaries. A Riemann surface can be seen as a gluing of portions of the Hype ...

EPFL2012

Active Learning of Multi-Index Function Models

Volkan Cevher, Hemant Tyagi

We consider the problem of actively learning \textit{multi-index} functions of the form

f(x) = g(Ax)= \sum_{i=1}^k g_i(a_i^Tx)

from point evaluations of

f

. We assume that the function

f

is defined on an

\ell_2

-ball in

\Real^d

,

g

is twice contin ...

2012

Fast orthogonal sparse approximation algorithms over local dictionaries

Pierre Vandergheynst, Rémi Gribonval

In this work we present a new greedy algorithm for sparse approximation called LocOMP. LocOMP is meant to be run on local dictionaries made of atoms with much shorter supports than the signal length. This notably encompasses shift-invariant dictionaries an ...

2011

Functions With Orthogonal Hessian

Bernard Dacorogna

A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C-2 functions u Omega subset of R-2 -> R with orthogonal Hessian in terms of a property named "second order angle condition" as in (1 1) ...

2010

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008

Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix

Martin Vetterli, Thierry Blu, Pier Luigi Dragotti

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, nonuniform splines or piecewise polynomials, and call the number of degrees of freedom per unit ...

Institute of Electrical and Electronics Engineers2007

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Martin Vetterli, Thierry Blu, Pier Luigi Dragotti

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...

2006

On the exponential convergence of Matching Pursuits in quasi-incoherent dictionaries

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

Mixed Potentials for Planar Multilayered Structures Including Conductive Interfaces

L (p) error estimates for approximation by Sobolev splines and Wendland functions on a"e (d)

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Active Learning of Multi-Index Function Models

Fast orthogonal sparse approximation algorithms over local dictionaries

Functions With Orthogonal Hessian

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

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

Mixed Potentials for Planar Multilayered Structures Including Conductive Interfaces

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang-Fix

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Functions With Orthogonal Hessian

Fast orthogonal sparse approximation algorithms over local dictionaries

Active Learning of Multi-Index Function Models

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

L (p) error estimates for approximation by Sobolev splines and Wendland functions on a"e (d)