Search Results for author: Fabien Lauer

Found 11 papers, 0 papers with code

Uniform Risk Bounds for Learning with Dependent Data Sequences

no code implementations21 Mar 2023 Fabien Lauer

This paper extends standard results from learning theory with independent data to sequences of dependent data.

Learning Theory

Risk Bounds for Learning Multiple Components with Permutation-Invariant Losses

no code implementations16 Apr 2019 Fabien Lauer

This paper proposes a simple approach to derive efficient error bounds for learning multiple components with sparsity-inducing regularization.

Clustering Quantization

Rademacher Complexity and Generalization Performance of Multi-category Margin Classifiers

no code implementations3 Dec 2018 Khadija Musayeva, Fabien Lauer, Yann Guermeur

This capacity measure is then linked to the metric entropy through the chaining method.

On the exact minimization of saturated loss functions for robust regression and subspace estimation

no code implementations15 Jun 2018 Fabien Lauer

This paper deals with robust regression and subspace estimation and more precisely with the problem of minimizing a saturated loss function.

General Classification regression

Error Bounds for Piecewise Smooth and Switching Regression

no code implementations25 Jul 2017 Fabien Lauer

For switching regression, the decomposition can be performed directly at the level of the Rademacher complexities, which yields bounds with a linear dependency on the number of modes.

regression

Global optimization for low-dimensional switching linear regression and bounded-error estimation

no code implementations18 Jul 2017 Fabien Lauer

The paper provides global optimization algorithms for two particularly difficult nonconvex problems raised by hybrid system identification: switching linear regression and bounded-error estimation.

regression valid

On the complexity of switching linear regression

no code implementations23 Oct 2015 Fabien Lauer

This technical note extends recent results on the computational complexity of globally minimizing the error of piecewise-affine models to the related problem of minimizing the error of switching linear regression models.

regression

On the complexity of piecewise affine system identification

no code implementations8 Sep 2015 Fabien Lauer

Previous work showed that a global solution could be obtained for continuous PWA maps with a worst-case complexity exponential in the number of data.

Sparse phase retrieval via group-sparse optimization

no code implementations24 Feb 2014 Fabien Lauer, Henrik Ohlsson

This paper deals with sparse phase retrieval, i. e., the problem of estimating a vector from quadratic measurements under the assumption that few components are nonzero.

Retrieval

Finding sparse solutions of systems of polynomial equations via group-sparsity optimization

no code implementations22 Nov 2013 Fabien Lauer, Henrik Ohlsson

In particular, we show how these solutions can be recovered from group-sparse solutions of a derived system of linear equations.

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