Publications related to Regularized Bundle Methods for Convex and Non-Convex Risks

Some Recovery Conditions for Basis Learning by L1-Minimization

Many recent works have shown that if a given signal admits a sufficiently sparse representation in a given dictionary, then this representation is recovered by several standard optimization algorithms, in particular the convex

\ell^1

minimization approac ...

2008

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex inner-approximation of the whole non- convex set of stabilizing control ...

2008

Temperature Control of High Performance Multicore Platforms Using Convex Optimization

Giovanni De Micheli, David Atienza Alonso, Luca Benini, Srinivasan Murali

With technology advances, the number of cores integrated on a chip and their speed of operation is increasing. This, in turn is leading to a significant increase in chip temperature. Temperature gradi- ents and hot-spots not only affect the performance of ...

2008

A Note on Natural Risk Statistics

Damir Filipovic, Gregor Svindland

Recently Heyde, Kou and Peng (2007) proposed the notion of a natural risk statistic associated with a finite sample that relaxes the subadditivity assumption in the classical coherent risk statistics. In this note we use convex analysis to provide alternat ...

Elsevier2008

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

Michaël Unser, Philippe Thévenaz, François Aguet, Chandra Sekhar Seelamantula

We construct parametric active contours (snakes) for outlining cells in histology images. These snakes are defined in terms of cubic B-spline basis functions. We use a steerable ridge detector for obtaining a reliable map of the cell boundaries. Using the ...

EURASIP2008

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

Monotone and Cash-Invariant Convex Functions and Hulls

Damir Filipovic

This paper provides some useful results for convex risk measures. In fact, we consider convex functions on a locally convex vector space E which are monotone with respect to the preference relation implied by some convex cone and invariant with respect to ...

2007

Energy-aware stage illumination

Friedrich Eisenbrand

Consider the following illumination problem: given a stage represented by a line segment L and a set of lightsources represented by a set of points S in the plane, assign powers to the lightsources such that every point on the stage receives a sufficient a ...

2005

A uniqueness result concerning a robust regularized least-squares solution

Ali H. Sayed

In solving a robust version of regularized least squares with weighting, a certain scalar-valued optimization problem is required in order to determine the regularized robust solution and the corresponding robustified weighting parameters. This letter esta ...

Elsevier2002

Regularized Bundle Methods for Convex and Non-Convex Risks

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Some Recovery Conditions for Basis Learning by L1-Minimization

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Temperature Control of High Performance Multicore Platforms Using Convex Optimization

A Note on Natural Risk Statistics

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

Numerical methods and models relevant to transportation applications

Monotone and Cash-Invariant Convex Functions and Hulls

Energy-aware stage illumination

A uniqueness result concerning a robust regularized least-squares solution

Some Recovery Conditions for Basis Learning by L1-Minimization

Temperature Control of High Performance Multicore Platforms Using Convex Optimization

A Note on Natural Risk Statistics

A uniqueness result concerning a robust regularized least-squares solution

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

Monotone and Cash-Invariant Convex Functions and Hulls

Numerical methods and models relevant to transportation applications

Energy-aware stage illumination

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs