Publications related to Multilevel weighted least squares polynomial approximation

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

Association of PCK1 with Body Mass Index and Other Metabolic Features in Patients With Psychotropic Treatments

Pierre Magistretti, Aurélie Delacrétaz

Weight gain is a major health problem among psychiatric populations. It implicates several receptors and hormones involved in energy balance and metabolism. Phosphoenolpyruvate carboxykinase 1 is a rate-controlling enzyme involved in gluconeogenesis, glyce ...

Lippincott, Williams & Wilkins2015

Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar

A computer-implemented method for determining the Walsh-Hadamard transform of N samples of a signal, comprises electing a plurality of hashing C matrices Σ1, . . . ΣC, computing C hashes of a particular length based at least on a hashing front end and the ...

2015

Analysing the distribution of walking in the Swiss population

Vincent Kaufmann, Emmanuel Pierre Jean Ravalet, Derek Pierre Christie

In many countries including Switzerland, public policy encourages people to walk for reasons linked to health, the environment, and transport. However, the distribution of walking in the population is not known. People who walk great distances have not bee ...

2015

What's the Frequency, Kenneth?: Sublinear Fourier Sampling Off the Grid

Volkan Cevher, Yen-Huan Li

We design a sublinear Fourier sampling algorithm for a case of sparse off-grid frequency recovery. These are signals with the form ; i.e., exponential polynomials with a noise term. The frequencies satisfy and for some . We design a sublinear time randomiz ...

Springer Verlag2015

Analyte quantification with Comprehensive Two-Dimensional Gas Chromatography: Assessment of methods for baseline correction, peak delineation, and matrix effect elimination for real samples

Jeremy Samuel Arey, Jonas Gros, Saer Samanipour, Petros Dimitriou Christidis, Auréline Grange

Comprehensive two-dimensional gas chromatography (GC x GC) is used widely to separate and measure organic chemicals in complex mixtures. However, approaches to quantify analytes in real, complex samples have not been critically assessed. We quantified 7 PA ...

Elsevier2015

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

We analyse the problem of approximating a multivariate function by discrete least-squares projection on a polynomial space starting from random, noise-free observations. An area of possible application of such technique is Uncertainty Quantification (UQ) f ...

2014

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Daniel Kressner, Christine Tobler

This paper is concerned with the numerical solution of symmetric large-scale Lyapunov equations with low-rank right-hand sides and coefficient matrices depending on a parameter. Specifically, we consider the situation when the parameter dependence is suffi ...

Wiley-Blackwell2013

Multilevel weighted least squares polynomial approximation

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MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Random sampling of bandlimited signals on graphs

Association of PCK1 with Body Mass Index and Other Metabolic Features in Patients With Psychotropic Treatments

Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

Analysing the distribution of walking in the Swiss population

What's the Frequency, Kenneth?: Sublinear Fourier Sampling Off the Grid

Analyte quantification with Comprehensive Two-Dimensional Gas Chromatography: Assessment of methods for baseline correction, peak delineation, and matrix effect elimination for real samples

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Analysing the distribution of walking in the Swiss population

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Random sampling of bandlimited signals on graphs

Analyte quantification with Comprehensive Two-Dimensional Gas Chromatography: Assessment of methods for baseline correction, peak delineation, and matrix effect elimination for real samples

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

What's the Frequency, Kenneth?: Sublinear Fourier Sampling Off the Grid

Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

Association of PCK1 with Body Mass Index and Other Metabolic Features in Patients With Psychotropic Treatments

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations