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24 papers · 1 filter
A Finite-Time Analysis of Multi-armed Bandits Problems with Kullback-Leibler Divergences
Odalric-Ambrym Maillard, Rémi Munos, Gilles Stoltz
We consider a Kullback-Leibler-based algorithm for the stochastic multi-armed bandit problem in the case of distributions with finite supports (not necessarily known beforehand), w…
Lipschitz Bandits without the Lipschitz Constant
Sébastien Bubeck, Gilles Stoltz, Jia Yuan Yu
We consider the setting of stochastic bandit problems with a continuum of arms. We first point out that the strategies considered so far in the literature only provided theoretical…
A Note on Sliced Inverse Regression with Regularizations
Caroline Bernard-Michel, Laurent Gardes, Stéphane Girard
In "Li, L. and Yin, X. (2008). Sliced Inverse Regression with Regularizations. Biometrics, 64(1):124--131" a ridge SIR estimator is introduced as the solution of a minimization pro…
Gaussian Regularized Sliced Inverse Regression
C. Bernard-Michel, L. Gardes, S. Girard
Sliced Inverse Regression (SIR) is an effective method for dimension reduction in high-dimensional regression problems. The original method, however, requires the inversion of the…
Estimation of the Weibull tail-coefficient with linear combination of upper order statistics
Laurent Gardes, Stéphane Girard
We present a new family of estimators of the Weibull tail-coefficient. The Weibull tail-coefficient is defined as the regular variation coefficient of the inverse failure rate func…
Fast change point analysis on the Hurst index of piecewise fractional Brownian motion
Mehdi Fhima, Arnaud Guillin, Pierre R. Bertrand
In this presentation, we introduce a new method for change point analysis on the Hurst index for a piecewise fractional Brownian motion. We first set the model and the statistical…