Adrien Saumard

activity

20112026

most citedSlope heuristics and V-Fold model selection in heteroscedastic regression using strongly localized bases

10 citations · 20 across the 19 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.PR2017

On the isoperimetric constant, covariance inequalities and $L_{p}$ -Poincaré inequalities in dimension one

Adrien Saumard, Jon A. Wellner

Firstly, we derive in dimension one a new covariance inequality of $L_{1} - L_{\infty}$ type that characterizes the isoperimetric constant as the best constant achieving the inequali…

math.ST2017★ 1 cited

Efron's monotonicity property for measures on $R^{2}$

Adrien Saumard, Jon A. Wellner

First we prove some kernel representations for the covariance of two functions taken on the same random variable and deduce kernel representations for some functionals of a continu…

math.ST2017★ 2 cited

A concentration inequality for the excess risk in least-squares regression with random design and heteroscedastic noise

Adrien Saumard

We prove a new and general concentration inequality for the excess risk in least-squares regression with random design and heteroscedastic noise. No specific structure is required…

On the isoperimetric constant, covariance inequalities and Lp​-Poincaré inequalities in dimension one

Efron's monotonicity property for measures on R2

A concentration inequality for the excess risk in least-squares regression with random design and heteroscedastic noise

On the isoperimetric constant, covariance inequalities and $L_{p}$ -Poincaré inequalities in dimension one

Efron's monotonicity property for measures on $R^{2}$