Concept

Système d'équations algébriques

Publications associées (90)

Reduced Basis Techniques For Nonlinear Conservation Laws

In this paper we present a new reduced basis technique for parametrized nonlinear scalar conservation laws in presence of shocks. The essential ingredients are an efficient algorithm to approximate the shock curve, a procedure to detect the smooth componen ...

EDP Sciences2015

Budgeted sensor placement for source localization on trees

Patrick Thiran, Laura Elisa Celis, Brunella Marta Spinelli

We address the problem of choosing a fixed number of sensor vertices in a graph in order to detect the source of a partially-observed diffusion process on the graph itself. Building on the definition of double resolvability we introduce a notion of vertex ...

2015

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Fabio Nobile, Giovanni Migliorati

Motivated by the numerical treatment of parametric and stochastic PDEs, we analyze the least-squares method for polynomial approximation of multivariate func- tions based on random sampling according to a given probability measure. Recent work has shown th ...

MATHICSE2014

Equivalent-Design Crack Model for Structural Glass Elements

Pieter Christian Louter, Manuel Santarsiero

Analytical determination of safety in glass structures often uses oversimplified resistance criteria or fully probabilistic models which require special software to numerically solve the complex equations. Due to computation cost and remaining uncertainty ...

Asce-Amer Soc Civil Engineers2014

Nonlinear Analysis of a Coaxial Microhelicopter with a Bell Stabilizer Bar

Philippe Müllhaupt, Basile Graf

Nonlinear modeling of coaxial microhelicopters is studied. All equations are derived using a Lagrangian approach and simplified aerodynamics assumptions so that all parameters have a physical meaning; there is no “black box.” The model is constructed with ...

Amer Helicopter Soc Inc2014

Fixed-Rank Rayleigh Quotient Maximization by an MPSK Sequence

Anastasios Kyrillidis

Certain optimization problems in communication systems, such as limited-feedback constant-envelope beamforming or noncoherent M-ary phase-shift keying (MPSK) sequence detection, result in the maximization of a fixed-rank positive semidefinite quadratic for ...

Institute of Electrical and Electronics Engineers2014

Multimodal graph theoretical analysis of functional brain connectivity using adaptive two-step strategy

Dimitri Nestor Alice Van De Ville, Djalel Eddine Meskaldji

Recently, we proposed a two-step adaptive strategy for the statistical analysis of brain connectivity that is based on a first screening at the subnetwork level and a filtering at the connection/node level. The method was shown to guarantee strong control ...

2014

Near-Optimal Source Placement for Linear Physical Fields

Martin Vetterli, Juri Ranieri

In real-word applications, signal processing is often used to measure and control a physical field by means of sensors and sources, respectively. An aspect that has been often neglected is the optimization of the sources' locations. In this work, we discus ...

Ieee2014

Ramsey-type results for semi-algebraic relations

János Pach

A k-ary semi-algebraic relation E on R^d is a subset of R^{kd}, the set of k-tuples of points in R^d, which is determined by a finite number of polynomial equations and inequalities in kd real variables. The description complexity of such a relation is at ...

2013

Tractability of interpretability via selection of group-sparse models

Volkan Cevher, Luca Baldassarre, Nirav Bhan

Group-based sparsity models are proven instrumental in linear regression problems for recovering signals from much fewer measurements than standard compressive sensing. A promise of these models is to lead to “interpretable” signals for which we identify i ...

2013

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