Publications related to Multilevel weighted least squares polynomial approximation

MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation

Weighted least squares polynomial approximation uses random samples to determine projections of functions onto spaces of polynomials. It has been shown that, using an optimal distribution of sample locations, the number of samples required to achieve quasi ...

MATHICSE2017

Sampling at unknown locations, with an application in surface retrieval

Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Michalina Wanda Pacholska

We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...

2017

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

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 s ...

2017

Learning-based subsampling

Volkan Cevher, Jonathan Mark Scarlett, Ilija Bogunovic, Yen-Huan Li, Luca Baldassarre, Baran Gözcü

The present invention concerns a method of sampling a test signal. The method comprises: acquiring (21) training signals sampled at a plurality of sampling locations; running (23) an optimization procedure for determining an index set of n indices, represe ...

2017

Associations between Daily Walking and Subclinical Health Markers in a Swiss City

Vincent Kaufmann, Emmanuel Pierre Jean Ravalet, Idris Guessous, Derek Pierre Christie

Every year, the Health Bus (Bus Santé) enables a representative sample of around 1000 members of the non-institutionalised adult population of Geneva, Switzerland, to undergo a health evaluation including physical measurements, blood tests and questionnair ...

2017

Approximate Steepest Coordinate Descent

Martin Jaggi, Sebastian Urban Stich, Anant Raj

We propose a new selection rule for the coordinate selection in coordinate descent methods for huge-scale optimization. The efficiency of this novel scheme is provably better than the efficiency of uniformly random selection, and can reach the efficiency o ...

PMLR2017

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Matthieu Martin Jean-André Simeoni

Estimating intensity fields of stochastic phenomenons is of crucial interest in many scientific applications. Typical experimental setups involve an acquisition system, that subsequently filters and samples the probed intensity field. This equivalently def ...

2016

Influence of loading history on mechanical properties of biomaterials

Tom Charles Maurice Walet

It is known that the mechanical response to load or displacement of a biological tissue can highly vary from one cycle to the next. Therefore, in order to establish a reference state for repeating data measurements, tissues are subjected to a preliminary s ...

2016

Assessment of occupational exposure to pesticides with multi-class pesticide residues analysis in human hairs using a modified QuEChERS extraction method, case study of gardening areas in Burkina Faso

Luiz Felippe De Alencastro, Edouard René Gilbert Lehmann, Christelle Oltramare, Jean-Jacques Stéphane Nfon Dibie

Pesticides have been proved to potentially cause multiple adverse health effects. The present study is part of a global project focusing on pesticides impacts on the environment and human health in gardening in Burkina Faso. In absence of existing monitori ...

2016

Multilevel weighted least squares polynomial approximation

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MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation

Sampling at unknown locations, with an application in surface retrieval

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Learning-based subsampling

Associations between Daily Walking and Subclinical Health Markers in a Swiss City

Approximate Steepest Coordinate Descent

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Influence of loading history on mechanical properties of biomaterials

Assessment of occupational exposure to pesticides with multi-class pesticide residues analysis in human hairs using a modified QuEChERS extraction method, case study of gardening areas in Burkina Faso

Sampling at unknown locations, with an application in surface retrieval

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Assessment of occupational exposure to pesticides with multi-class pesticide residues analysis in human hairs using a modified QuEChERS extraction method, case study of gardening areas in Burkina Faso

Approximate Steepest Coordinate Descent

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Associations between Daily Walking and Subclinical Health Markers in a Swiss City

MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation

Attributing Aliasing Artifacts in Dirty Intensity Fields to their Parent Source

Learning-based subsampling

Influence of loading history on mechanical properties of biomaterials