18 citations · 41 across the 10 of their papers we have counts for
12 papers
Online learning with exponential weights in metric spaces
Quentin Paris
This paper addresses the problem of online learning in metric spaces using exponential weights. We extend the analysis of the exponentially weighted average forecaster, traditional…
Jensen's inequality in geodesic spaces with lower bounded curvature
Quentin Paris
Let be a separable and complete geodesic space with curvature lower bounded, by , in the sense of Alexandrov. Let be a Borel probability measure on ,…
The exponentially weighted average forecaster in geodesic spaces of non-positive curvature
Quentin Paris
This paper addresses the problem of prediction with expert advice for outcomes in a geodesic space with non-positive curvature in the sense of Alexandrov. Via geometric considerati…
Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space
Thibaut Le Gouic, Quentin Paris, Philippe Rigollet +1
This work establishes fast rates of convergence for empirical barycenters over a large class of geodesic spaces with curvature bounds in the sense of Alexandrov. More specifically,…
On the occupancy problem for a regime switching model
Michael Grabchak, Mark Kelbert, Quentin Paris
This article studies the expected occupancy probabilities on an alphabet. Unlike the standard situation, where observations are assumed to be independent and identically distribute…
Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendible geodesics
Adil Ahidar-Coutrix, Thibaut Le Gouic, Quentin Paris
This paper provides rates of convergence for empirical (generalised) barycenters on compact geodesic metric spaces under general conditions using empirical processes techniques. Ou…
A notion of stability for k-means clustering
Thibaut Le Gouic, Quentin Paris
In this paper, we define and study a new notion of stability for the -means clustering scheme building upon the notion of quantization of a probability measure. We connect this…
Empirical Variance Minimization with Applications in Variance Reduction and Optimal Control
D. Belomestny, L. Iosipoi, Q. Paris +1
We study the problem of empirical minimization for variance-type functionals over functional classes. Sharp non-asymptotic bounds for the excess variance are derived under mild con…
On the Exponentially Weighted Aggregate with the Laplace Prior
Arnak S. Dalalyan, Edwin Grappin, Quentin Paris
In this paper, we study the statistical behaviour of the Exponentially Weighted Aggregate (EWA) in the problem of high-dimensional regression with fixed design. Under the assumptio…
On the prediction loss of the lasso in the partially labeled setting
Pierre C. Bellec, Arnak S. Dalalyan, Edwin Grappin +1
In this paper we revisit the risk bounds of the lasso estimator in the context of transductive and semi-supervised learning. In other terms, the setting under consideration is that…
Finite sample properties of the mean occupancy counts and probabilities
Geoffrey Decrouez, Michael Grabchak, Quentin Paris
For a probability distribution on an at most countable alphabet , this article gives finite sample bounds for the expected occupancy counts and…
Cox process functional learning
Gérard Biau, Benoît Cadre, Quentin Paris
This article addresses the problem of functional supervised classification of Cox process trajectories, whose random intensity is driven by some exogenous random covariable. The cl…