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- Michel Baes
- 2009

The approach of estimate sequence offers an interesting rereading of a number of accelerating schemes proposed by Nesterov [Nes03], [Nes05], and [Nes06]. It seems to us that this framework is theâ€¦ (More)

- Michel Baes
- 2004

A spectral function on a formally real Jordan algebra is a real-valued function which depends only on the eigenvalues of its argument. One convenient way to create them is to start from a function fâ€¦ (More)

- Michel Baes, Moritz Diehl, Ion Necoara
- IEEE Transactions on Automatic Control
- 2008

In this short note, we define parametric convex programming (PCP) in a slightly different manner than it is usually done by extending convexity not only to variables but also to the parameters, andâ€¦ (More)

In this paper, we address the problem of minimizing a convex function f over a convex set, with the extra constraint that some variables must be integer. This problem, even when f is a piecewiseâ€¦ (More)

- Michel Baes, Michael BÃ¼rgisser
- Math. Meth. of OR
- 2013

We show that the Hedge algorithm, a method that is widely used in Machine Learning, can be interpreted as a particular instance of Dual Averaging schemes, which have recently been introduced byâ€¦ (More)

- Michel Baes, Michael BÃ¼rgisser, Arkadi Nemirovski
- SIAM Journal on Optimization
- 2013

In this paper, we derive a randomized version of the Mirror-Prox method for solving some structured matrix saddle-point problems, such as the maximal eigenvalue minimization problem. Deterministicâ€¦ (More)

We use smoothing techniques to solve approximately mildly structured semidefinite programs with many constraints. As smoothing techniques require a specific problem format, we introduce anâ€¦ (More)

- Michel Baes, Alberto Del Pia, Yurii Nesterov, Shmuel Onn, Robert Weismantel
- Math. Program.
- 2012

This paper is about theminimization of Lipschitz-continuous and strongly convex functions over integer points in polytopes. Our results are related to the rate of convergence of a black-box algorithmâ€¦ (More)

- Michel Baes, Michael BÃ¼rgisser
- Optimization Methods and Software
- 2014

We introduce in this paper an optimal first-order method that allows an easy and cheap evaluation of the local Lipschitz constant of the objectiveâ€™s gradient. This constant must ideally be chosen atâ€¦ (More)

- Graeme Pope, Christoph Studer, Michel Baes
- 2012 IEEE International Conference on Acousticsâ€¦
- 2012

This paper deals with the recovery of signals that admit an approximately sparse representation in some known dictionary (possibly over-complete) and are corrupted by additive noise. In particular,â€¦ (More)