Publications related to Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins

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

Quotient-method Algorithms for Input-affine Single-input Nonlinear Systems

Willson Sudarsandhari Shibani

Many real-world systems are intrinsically nonlinear. This thesis proposes various algorithms for designing control laws for input-affine single-input nonlinear systems. These algorithms, which are based on the concept of quotients used in nonlinear control ...

EPFL2012

Propagation Models for Biochemical Reaction Networks

Maria-Emanuela-Canini Mateescu

In this thesis we investigate different ways of approximating the solution of the chemical master equation (CME). The CME is a system of differential equations that models the stochastic transient behaviour of biochemical reaction networks. It does so by d ...

EPFL2011

Adaptive Coordinate Descent

Ilya Loshchilov

Independence from the coordinate system is one source of efficiency and robustness for the Covariance Matrix Adaptation Evolution Strategy (CMA-ES). The recently proposed Adaptive Encoding (AE) procedure generalizes CMA-ES adaptive mechanism, and can be us ...

2011

Hybrid Numerical Solution of the Chemical Master Equation

Maria-Emanuela-Canini Mateescu, Verena Wolf

We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe networks of biochemical reactions and play an important role in the stochastic modeling of biological systems. Our approach is based on the const ...

2010

Iterative geometric design for architecture

Ivo Stotz

This work investigates on computer aided integrated architectural design and production. The aim is to provide integral solutions for the design and the production of geometrically complex free-form architecture. Investigations on computer aided geometric ...

EPFL2009

Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

Fabio Nobile

We consider the problem of numerically approximating statistical moments of the solution of a time-dependent linear parabolic partial differential equation (PDE), whose coefficients and/or forcing terms are spatially correlated random fields. The stochasti ...

2009

An Information-Based Approximation Scheme for Stochastic Optimization Problems in Continuous Time

Daniel Kuhn

Dynamic stochastic optimization problems with a large (possibly infinite) number of decision stages and high-dimensional state vectors are inherently difficult to solve. In fact, scenario tree-based algorithms are unsuitable for problems with many stages, ...

2009

Generalized Bounds for Convex Multistage Stochastic Programs

Daniel Kuhn

This book investigates convex multistage stochastic programs whose objective and constraint functions exhibit a generalized nonconvex dependence on the random parameters. Although the classical Jensen and Edmundson-Madansky type bounds or their extensions ...

Springer-Verlag2005

A Virtual Keyboard Based on True-3D Optical Ranging

Edoardo Charbon, Huan Du, Félix Lustenberger

In this paper, a complete system is presented which mimics a QWERTY keyboard on an arbitrary surface. The system consists of a pattern projector and a true-3D range camera for detecting the typing events. We exploit depth information acquired with the 3D r ...

2005

Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins

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

Quotient-method Algorithms for Input-affine Single-input Nonlinear Systems

Propagation Models for Biochemical Reaction Networks

Adaptive Coordinate Descent

Hybrid Numerical Solution of the Chemical Master Equation

Iterative geometric design for architecture

Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

An Information-Based Approximation Scheme for Stochastic Optimization Problems in Continuous Time

Generalized Bounds for Convex Multistage Stochastic Programs

A Virtual Keyboard Based on True-3D Optical Ranging

Quotient-method Algorithms for Input-affine Single-input Nonlinear Systems

Propagation Models for Biochemical Reaction Networks

Hybrid Numerical Solution of the Chemical Master Equation

Iterative geometric design for architecture

Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

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

An Information-Based Approximation Scheme for Stochastic Optimization Problems in Continuous Time

A Virtual Keyboard Based on True-3D Optical Ranging

Generalized Bounds for Convex Multistage Stochastic Programs

Adaptive Coordinate Descent