1.1k citations · 1.5k across the 17 of their papers we have counts for
21 papers
Choosing the penalty in nonparametric regression: short and long-range dependence
Emmanuel Caron Parte, Jérôme Dedecker, Bertrand Michel
In this work, we study the one-dimensional regression problem under random design and Gaussian errors. Our framework is very general: we make no prior assumptions about the design…
Topological signatures of periodic-like signals
Wojciech Reise, Bertrand Michel, Frédéric Chazal
We present a method to construct signatures of periodic-like data. Based on topological considerations, our construction encodes information about the order and values of local ext…
Topological phase estimation method for reparameterized periodic functions
Thomas Bonis, Frédéric Chazal, Bertrand Michel +1
We consider a signal composed of several periods of a periodic function, of which we observe a noisy reparametrisation. The phase estimation problem consists of finding that repara…
Bayesian hierarchical models for the prediction of the driver flow and passenger waiting times in a stochastic carpooling service
Panayotis Papoutsis, Bertrand Michel, Anne Philippe +1
Carpooling is an integral component in smart carbon-neutral cities, in particular to facilitate homework commuting. We study an innovative carpooling service developed by the start…
Learning with tree tensor networks: complexity estimates and model selection
Bertrand Michel, Anthony Nouy
Tree tensor networks, or tree-based tensor formats, are prominent model classes for the approximation of high-dimensional functions in computational and data science. They correspo…
Gaussian linear model selection in a dependent context
Emmanuel Caron, Jérôme Dedecker, Bertrand Michel
In this paper, we study the nonparametric linear model, when the error process is a dependent Gaussian process. We focus on the estimation of the mean vector via a model selection…