Concept

Méthode de la fausse position

Publications associées (7)

Performance limits of stochastic sub-gradient learning, Part II: Multi-agent case

The analysis in Part I [1] revealed interesting properties for subgradient learning algorithms in the context of stochastic optimization. These algorithms are used when the risk functions are non-smooth or involve non-differentiable components. They have b ...

Elsevier2018

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

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

2006

Branch-and-Prune Search Strategies for Numerical Constraint Solving

Boi Faltings, Marius-Calin Silaghi, Xuan-Ha Vu

When solving numerical constraints such as nonlinear equations and inequalities, solvers often exploit pruning techniques, which remove redundant value combinations from the domains of variables, at pruning steps. To find the complete solution set, most of ...

2005

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 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

Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic-plasticity problems with application to adiabatic shear banding

Jean-François Molinari

This paper is concerned with the development of a general framework for adaptive mesh refinement and coarsening in three-dimensional finite-deformation dynamic-plasticity problems. Mesh adaption is driven by a posteriori global error bounds derived on the ...

2002

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