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- P Valeix, M Zarebska, P Preziosi, P Galan, B Pelletier, S Hercberg
- Lancet
- 1999

- Ery Arias-Castro, David Mason, Bruno Pelletier
- Journal of Machine Learning Research
- 2016

We consider the problem of estimating the gradient lines of a density, which can be used to cluster points sampled from that density, for example via the mean-shift algorithm of Fukunaga and Hostetler (1975). We prove general convergence bounds that we then specialize to kernel density estimation.

- Bruno Pelletier
- 2010

The nonparametric estimation of the regression function of a real-valued random variable Y on a random object X valued in a closed Riemannian manifold M is considered. A regression estimator which generalizes kernel regression estimators on Euclidean sample spaces is introduced. Under classical assumptions on the kernel and the bandwidth sequence, the… (More)

- Ery Arias-Castro, Bruno Pelletier, Pierre Pudlo, Bruno Pelletierand
- 2017

Remote sensing of ocean color from space, a problem that consists in retrieving spectral marine reflectance from spectral top-of-atmosphere reflectance, is considered as a collection of similar inverse problems continuously indexed by the angular variables influencing the observation process. A general solution is proposed in the form of a field of… (More)

Despite a substantial literature on nonparametric two-sample goodness-of-fit testing in arbitrary dimensions, there is no mention there of any curse of dimensionality. In fact, in some publications, a parametric rate is derived. As we discuss below, this is because a directional alternative is considered. Indeed, even in dimension one, Ingster (1987) has… (More)

- X Barrère, P Valeix, +4 authors S Hercberg
- Clinical endocrinology
- 2000

OBJECTIVE
To study the relative importance of determinants of thyroid volume.
DESIGN
Cross-sectional study on a sample of subjects issued from the SU.VI.MAX cohort.
SUBJECTS
2987 French subjects (1713 women aged 35-60 years and 1274 men aged 45-60 years). None of them had previous or present thyroid disease.
MEASUREMENTS
Thyroid volume was determined… (More)

- Bruno Pelletier, Robert Frouin
- ESANN
- 2004

In the context of nonlinear regression, we consider the problem of explaining a variable y from a vector x of explanatory variables and from a vector t of conditionning variables, that influences the link function between y and x. A neural based solution is proposed in the form of a field of nonlinear regression models, by which it is meant that the… (More)

- Ery Arias-Castro, Bruno Pelletier
- Journal of Machine Learning Research
- 2013

MaximumVariance Unfolding is one of the main methods for (nonlinear) dimensionality reduction. We study its large sample limit, providing specific rates of convergence under standard assumptions. We find that it is consistent when the underlying submanifold is isometric to a convex subset, and we provide some simple examples where it fails to be consistent.

- Bruno Pelletier, Pierre Pudlo
- Journal of Machine Learning Research
- 2011

Following Hartigan [1975], a cluster is defined as a connected component of the t-level set of the underlying density, i.e., the set of points for which the density is greater than t. A clustering algorithm which combines a density estimate with spectral clustering techniques is proposed. Our algorithm is composed of two steps. First, a nonparametric… (More)