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Dive into the research topics where Benoît Cadre is active.

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Featured researches published by Benoît Cadre.


Statistical Inference for Stochastic Processes | 2004

Nonparametric Spatial Prediction

Gérard Biau; Benoît Cadre

Let (ℕ*)N be the integer lattice points in the N-dimensional Euclidean space. We define a nonparametric spatial predictor for the values of a random field indexed by (ℕ*)N using a kernel method. We first examine the general problem of the regression estimation for random fields. Then we show the uniform consistency on compact sets of our spatial predictor as well as its asymptotic normality.


Annals of Statistics | 2010

Statistical analysis of k-nearest neighbor collaborative recommendation

Gérard Biau; Benoît Cadre; Laurent Rouvière

Collaborative recommendation is an information-filtering technique that attempts to present information items (movies, music, books, news, images, Web pages, etc.) that are likely of interest to the Internet user. Traditionally, collaborative systems deal with situations with two types of variables, users and items. In its most common form, the problem is framed as trying to estimate ratings for items that have not yet been consumed by a user. Despite wide-ranging literature, little is known about the statistical properties of recommendation systems. In fact, no clear probabilistic model even exists allowing us to precisely describe the mathematical forces driving collaborative filtering. To provide an initial contribution to this, we propose to set out a general sequential stochastic model for collaborative recommendation and analyze its asymptotic performance as the number of users grows. We offer an in-depth analysis of the so-called cosine-type nearest neighbor collaborative method, which is one of the most widely used algorithms in collaborative filtering. We establish consistency of the procedure under mild assumptions on the model. Rates of convergence and examples are also provided.


Journal of Multivariate Analysis | 2008

Exact rates in density support estimation

Gérard Biau; Benoît Cadre; Bruno Pelletier


Esaim: Probability and Statistics | 2007

A graph-based estimator of the number of clusters

Gérard Biau; Benoît Cadre; Bruno Pelletier


Electronic Journal of Probability | 2009

Asymptotic Normality in Density Support Estimation

Gérard Biau; Benoît Cadre; David M. Mason; Bruno Pelletier


Test | 2012

On Hölder fields clustering

Benoît Cadre; Quentin Paris


arXiv: Statistics Theory | 2017

Optimization by gradient boosting

Gérard Biau; Benoît Cadre


Journal of Machine Learning Research | 2016

The statistical performance of collaborative inference

Gérard Biau; Kevin Bleakley; Benoît Cadre


arXiv: Machine Learning | 2009

A Stochastic Model for Collaborative Recommendation

Gérard Biau; Benoît Cadre; Laurent Rouvière


Archive | 2018

Accelerated Gradient Boosting

Gérard Biau; Benoît Cadre; Laurent Rouvière

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Bruno Pelletier

Centre national de la recherche scientifique

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Gérard Biau

École Normale Supérieure

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Lionel Truquet

Centre national de la recherche scientifique

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