Benoît Cadre
Centre national de la recherche scientifique
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Benoît Cadre.
Statistical Inference for Stochastic Processes | 2004
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
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
Gérard Biau; Benoît Cadre; Bruno Pelletier
Esaim: Probability and Statistics | 2007
Gérard Biau; Benoît Cadre; Bruno Pelletier
Electronic Journal of Probability | 2009
Gérard Biau; Benoît Cadre; David M. Mason; Bruno Pelletier
Test | 2012
Benoît Cadre; Quentin Paris
arXiv: Statistics Theory | 2017
Gérard Biau; Benoît Cadre
Journal of Machine Learning Research | 2016
Gérard Biau; Kevin Bleakley; Benoît Cadre
arXiv: Machine Learning | 2009
Gérard Biau; Benoît Cadre; Laurent Rouvière
Archive | 2018
Gérard Biau; Benoît Cadre; Laurent Rouvière