Publications related to Solving noisy large scale fixed point problems and systems of nonlinear equations

Estimating interdependences in networks of weakly coupled deterministic systems

The extraction of information from measured data about the interactions taking place in a network of systems is a key topic in modern applied sciences. This topic has been traditionally addressed considering bivariate time series, providing methods that ar ...

2008

A Class Of Mean Field Interaction Models for Computer and Communication Systems

Jean-Yves Le Boudec

We consider models of

N

interacting objects, where the interaction is via a common resource and the distribution of states of all objects. We consider the case where the number of transitions per time slot per object vanishes as

N

grows. We show that, ...

2008

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

We propose an extension of secant methods for nonlinear equations using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least squares approach to calibrate the linear model. We propo ...

2007

Numerical methods and models relevant to transportation applications

Michaël Clément Louis Ghislain Thémans

In this thesis, we focus on standard classes of problems in numerical optimization: unconstrained nonlinear optimization as well as systems of nonlinear equations. More precisely, we consider two types of unconstrained nonlinear optimization problems. On t ...

EPFL2007

Steady-state Solutions in Mathematical Models of Atrial Cell Electrophysiology and their Stability

Vincent Jacquemet

The steady states of the Fenton–Karma, the Courtemanche and the Nygren cell models were studied by determining the fixed points of the dynamical system describing their cell kinetics. The linear stability of the fixed points was investigated, as well as th ...

2007

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

We propose an extension of secant methods for nonlinear equations using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least squares approach to calibrate the linear model. We propo ...

2006

Performance Analysis of Self Limiting Epidemic Forwarding

Jean-Yves Le Boudec, Alaeddine El Fawal

Self limiting epidemic forwarding is a method of epidemic information dissemination in wireless ad-hoc networks that achieves congestion control by limiting spread (i.e. the number of nodes that receive a given message) and injection rate in order to prese ...

2006

New algorithmic methods for real-time transportation problems

Frank Crittin

Two of the most basic problems encountered in numerical optimization are least-squares problems and systems of nonlinear equations. The use of more and more complex simulation tools on high performance computers requires solving problems involving an incre ...

EPFL2004

Solving the anticipatory route guidance generation problem using a generalization of secant methods

Michel Bierlaire, Frank Crittin

Route guidance refers to information provided to travelers in an attempt to facilitate their decisions relative to departure time, travel mode and route. We are specifically interested in consistent anticipatory route guidance, in which real-time traffic m ...

2004

A class of multi-iterate methods to solve systems of nonlinear equations

Michel Bierlaire, Frank Crittin

A new class of methods for solving systems of nonlinear equations is introduced. The main idea is to build a linear model using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least ...

2004

Solving noisy large scale fixed point problems and systems of nonlinear equations

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Estimating interdependences in networks of weakly coupled deterministic systems

A Class Of Mean Field Interaction Models for Computer and Communication Systems

A multi-iterate method to solve systems of nonlinear equations

Numerical methods and models relevant to transportation applications

Steady-state Solutions in Mathematical Models of Atrial Cell Electrophysiology and their Stability

A multi-iterate method to solve systems of nonlinear equations

Performance Analysis of Self Limiting Epidemic Forwarding

New algorithmic methods for real-time transportation problems

Solving the anticipatory route guidance generation problem using a generalization of secant methods

A class of multi-iterate methods to solve systems of nonlinear equations

Numerical methods and models relevant to transportation applications

Estimating interdependences in networks of weakly coupled deterministic systems

A Class Of Mean Field Interaction Models for Computer and Communication Systems

A multi-iterate method to solve systems of nonlinear equations

Steady-state Solutions in Mathematical Models of Atrial Cell Electrophysiology and their Stability

New algorithmic methods for real-time transportation problems

A class of multi-iterate methods to solve systems of nonlinear equations

A multi-iterate method to solve systems of nonlinear equations

Performance Analysis of Self Limiting Epidemic Forwarding

Solving the anticipatory route guidance generation problem using a generalization of secant methods