Concept

Inégalité de Hölder

Publications associées (24)

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Chaining Mutual Information and Tightening Generalization Bounds

Emmanuel Abbé

Bounding the generalization error of learning algorithms has a long history, which yet falls short in explaining various generalization successes including those of deep learning. Two important difficulties are (i) exploiting the dependencies between the h ...

NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2018

Inequality in genetic cancer risk suggests bad genes rather than bad luck

Mats Julius Stensrud

Heritability is often estimated by decomposing the variance of a trait into genetic and other factors. Interpreting such variance decompositions, however, is not straightforward. In particular, there is an ongoing debate on the importance of genetic factor ...

2017

A New Entropy Power Inequality for Integer-Valued Random Variables

Emmanuel Abbé, Saeid Haghighatshoar

The entropy power inequality (EPI) yields lower bounds on the differential entropy of the sum of two independent real-valued random variables in terms of the individual entropies. Versions of the EPI for discrete random variables have been obtained for spe ...

Institute of Electrical and Electronics Engineers2014

Refined Support and Entropic Uncertainty Inequalities

Benjamin Ricaud

Generalized versions of the entropic (Hirschman-Beckner) and support (Elad-Bruckstein) uncertainty principle are presented for frames representations. Moreover, a sharpened version of the support inequality is obtained by introducing a generalization of th ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Public Urban Transport, Mobility Patterns and Social Exclusion

Regina Witter

What are the social impacts of a new, less efficient public transport system in a city that is known for its inequality concerning access to daily activities and participation in urban life? More precisely, what are the implications of a re-regulated trans ...

EPFL2012

Education and Poverty

Roland John Tormey

Responses to educational inequality in Ireland are typically individualistic, addressing themselves to the individual learner rather than to the structural or social processes that give rise to inequality. This chapter reviews some of the systemic causes o ...

Institute for Public Administration2007

Property (T) and rigidity for actions on Banach spaces

Nicolas Monod

We study property (T) and the fixed point property for actions on Lp and other Banach spaces. We show that property (T) holds when L2 is replaced by Lp (and even a subspace/quotient of Lp), and that in fact it is independent of 1 ≤ p < ∞. We show that the ...

2007

Regularity in metric spaces

Serguei Timochine

Using arguments developed by De Giorgi in the 1950's, it is possible to prove the regularity of the solutions to a vast class of variational problems in the Euclidean space. The main goal of the present thesis is to extend these results to the more abstrac ...

EPFL2006

Analysis and numerical simulation of viscoelastic flows

Andrea Bonito

Mathematical and numerical aspects of viscoelastic flows are investigated here. Two simplified mathematical models are considered. They are motivated by a splitting algorithm for solving viscoelastic flows with free surfaces. The first model is a simplifie ...

EPFL2006

An integral characterization of Hajlasz-Sobolev space

Marc Troyanov

We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality. ...

2001