Concept

Singular value

Related publications (61)

Poisson Image Reconstruction With Hessian Schatten-Norm Regularization

Poisson inverse problems arise in many modern imaging applications, including biomedical and astronomical ones. The main challenge is to obtain an estimate of the underlying image from a set of measurements degraded by a linear operator and further corrupt ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Dealing with singularities in nonlinear unconstrained optimization

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans

We propose a new trust region based optimization algorithm for solving unconstrained nonlinear problems whose second derivatives matrix is singular at a local solution. We give a theoretical characterization of the singularity in this context and we propos ...

2009

Some properties of non-positively curved lattices

Nicolas Monod

We announce results on the structure of CAT(0) groups, CAT(0) lattices and of the underlying spaces. Our statements rely notably on a general study of the full isometry groups of proper CAT(0) spaces. Classical statements about Hadamard manifolds are estab ...

2008

Induced and coinduced Banach Lie-Poisson spaces and integrability

Tudor Ratiu

The Poisson induction and coinduction procedures are used to construct Banach Lie-Poisson spaces as well as related systems of integrals in involution. This general method applied to the Banach Lie-Poisson space of trace class operators leads to infinite H ...

2008

Proton T-2 relaxation time of J-coupled cerebral metabolites in rat brain at 9.4T

Rolf Gruetter, Lijing Xin, Giulio Gambarota

Knowledge of proton T-2 relaxation time of metabolites is essential for proper quantitation of metabolite concentrations in localized proton spectroscopy, especially at moderate to long TEs. Although the T-2 relaxation time of singlets, such as that of cre ...

Wiley-Blackwell2008

Consistent Sampling and Signal Recovery

Michaël Unser

An attractive formulation of the sampling problem is based on the principle of a consistent signal reconstruction. The requirement is that the reconstructed signal is indistinguishable from the input in the sense that it yields the exact same measurements. ...

Institute of Electrical and Electronics Engineers2007

Adaptation of the standard 12-lead electrocardiogram system dedicated to the analysis of atrial fibrillation

Vincent Jacquemet, Zenichi Ihara

Objective: The objective of the study was to design a lead system aimed at studying atrial fibrillation (AF), while being anchored to the standard 12-lead system. Methods: The location of 4 of the 6 precordial electrodes was optimized while leaving the rem ...

2007

Inclusions différentielles et problèmes variationnels

Ana Margarida Fernandes Ribeiro

In this thesis we deal with three different but connected questions. Firstly (cf. Chapter 2) we make a systematic study of the generalized notions of convexity for sets. We study the notions of polyconvex, quasiconvex and rank one convex set. We remark tha ...

EPFL2006

Dealing with singularities in nonlinear unconstrained optimization

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans

We propose new trust-region based optimization algorithms for solving unconstrained nonlinear problems whose second derivatives matrix is singular at a local solution. We give a theoretical characterization of the singularity in this context and we propose ...

2006

John-Théodore -alias Jack- Cornaz (1886-1974)

Nadja Maillard

On November the 14th 1974, Jack Cornaz died in Lausanne, the town where he was born in 1886. This study traces the unusual career of this architect – a singular figure in the field of Swiss-French architecture of the twentieth century – whose name, from th ...

EPFL2005

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