Publications related to Adaptive polynomial approximation by means of random discrete least squares

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 stochastic collocation method for the second order wave equation with a discontinuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

Springer Verlag2013

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Fabio Nobile, Francesca Bonizzoni

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in th ...

MATHICSE2013

When crowding of crowding leads to uncrowding

Michael Herzog, Bilge Sayim, Mauro Manassi

In object recognition, features are thought to be processed in a hierarchical fashion from low-level analysis (edges and lines) to complex figural processing (shapes and objects). Here, we show that figural processing determines low-level processing. Verni ...

Association for Research in Vision and Ophthalmology2013

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

David Andrew Barry, Luca Rossi, Sylvain Coutu

Many pharmaceutical products find their way into receiving waters, giving rise to concerns regarding their environmental impact. A procedure was proposed that enables ranking of the hazard to aquatic species and human health due to such products. In the pr ...

Elsevier2012

When crowding of crowding leads to uncrowding

Michael Herzog, Mauro Manassi

In peripheral crowding, target perception can be strongly deteriorated by nearby flankers. What happens if flanker “A” crowds flanker “B” and “B” crowds target “C”? At 9° eccentricity, we determined offset discrimination thresholds for verniers. When the v ...

2012

MATHICSE Technical Report : Analysis of the discrete $L^2$ 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 ...

MATHICSE2011

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Fabio Nobile

In this paper we propose and analyze a stochastic collocation method for solving the second order wave equation with a random wave speed and subjected to deterministic boundary and initial conditions. The speed is piecewise smooth in the physical space and ...

MATHICSE2011

Distributed Constraint Optimization

Thomas Léauté

Distributed Constraint Satisfaction (DisCSP) and Distributed Constraint Optimization (DCOP) are formal frameworks that can be used to model a variety of problems in which multiple decision-makers cooperate towards a common goal: from computing an equilibri ...

EPFL2011

Invariant generators for generalized distributions

Tudor Ratiu, Madeleine Jotz

2011

Adaptive polynomial approximation by means of random discrete least squares

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

A stochastic collocation method for the second order wave equation with a discontinuous random speed

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

When crowding of crowding leads to uncrowding

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

When crowding of crowding leads to uncrowding

MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Distributed Constraint Optimization

Invariant generators for generalized distributions

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

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

When crowding of crowding leads to uncrowding

MATHICSE Technical Report : A stochastic collocation method for the second order wave equation with a discontiuous random speed

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

Distributed Constraint Optimization

MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Invariant generators for generalized distributions

When crowding of crowding leads to uncrowding