Publications related to Sampling at unknown locations, with an application in surface retrieval

MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability

We present a technique for the approximation of a class of Hilbert space-valued maps which arise within the framework of Model Order Reduction for parametric partial differential equations, whose solution map has a meromorphic structure. Our MOR stategy co ...

MATHICSE2019

New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials

Damian Mateusz Straszak

Optimization is a fundamental tool in modern science. Numerous important tasks in biology, economy, physics and computer science can be cast as optimization problems. Consider the example of machine learning: recent advances have shown that even the most s ...

EPFL2018

Assessment of water resource contamination by pesticides in vegetable-producing areas in Burkina Faso

Luiz Felippe De Alencastro, Edouard René Gilbert Lehmann, Jean-Jacques Stéphane Nfon Dibie, Morgan Fargues

This study proposes a comprehensive approach to investigate water resource contamination by pesticides under the specific climatic and hydrological conditions of the Sudano-Sahelian climate. Samples were collected from tradi- tional wells, boreholes, and a ...

2018

Arithmetic and metric aspects of open de Rham spaces

Dimitri Stelio Wyss, Tamás Hausel, Michael Lennox Wong

In this paper we determine the motivic class---in particular, the weight polynomial and conjecturally the Poincar'e polynomial---of the open de Rham space, defined and studied by Boalch, of certain moduli of irregular meromorphic connections on the trivia ...

2018

Assessment of passive sampling for the monitoring of explosive residues in surface water

Sylvain Coudret, Luiz Felippe De Alencastro, Nicolas Estoppey

Between 1920 and 1967, approximately 8’200 tons of ammunition waste were dumped into several Swiss lakes. Previous studies based on grab sampling revealed traces of HMX, RDX and PETN in the water column of three studied lakes; however, these researches sho ...

2018

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

Multilevel weighted least squares polynomial approximation

Fabio Nobile

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 ...

2017

MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation

Fabio Nobile

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

Distinct distances on regular varieties over finite fields

Van Thang Pham

In this paper we study some generalized versions of a recent result due to Covert, Koh, and Pi (2015). More precisely, we prove that if a subset in a regular variety satisfies vertical bar epsilon vertical bar >> q(d-1/2 + 1/k-1), then Delta(k,F)(epsilon) ...

Elsevier2017

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

Sampling at unknown locations, with an application in surface retrieval

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MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability

New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials

Assessment of water resource contamination by pesticides in vegetable-producing areas in Burkina Faso

Arithmetic and metric aspects of open de Rham spaces

Assessment of passive sampling for the monitoring of explosive residues in surface water

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

Multilevel weighted least squares polynomial approximation

MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation

Distinct distances on regular varieties over finite fields

Learning-based subsampling

New Algorithmic Paradigms for Discrete Problems using Dynamical Systems and Polynomials

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

MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability

Assessment of passive sampling for the monitoring of explosive residues in surface water

Assessment of water resource contamination by pesticides in vegetable-producing areas in Burkina Faso

Arithmetic and metric aspects of open de Rham spaces

Learning-based subsampling

Multilevel weighted least squares polynomial approximation

MATHICSE Technical Report : Multilevel weighted least squares polynomial approximation

Distinct distances on regular varieties over finite fields