1 citations · 1 across the 5 of their papers we have counts for
7 papers
A Framework for Supervised and Unsupervised Learning via Reproducing Kernel Hilbert Spaces
Frédéric Protin
We introduce a unified framework for supervised and unsupervised learning through density estimation using reproducing kernel Hilbert spaces (RKHSs). To this end, we introduce the…
Categorical and geometric methods in statistical, manifold, and machine learning
Hông Vân Lê, Hà Quang Minh, Frederic Protin +1
We present and discuss applications of the category of probabilistic morphisms, initially developed in \cite{Le2023}, as well as some geometric methods to several classes of proble…
Unified modelling of epidemics by coupled dynamics via Monte-Carlo Markov Chain algorithms
Frédéric Protin, Martel Jules, Duc Thang Nguyen +9
To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of…
Dynamics of non cohomologically hyperbolic automorphisms of
Frédéric Protin
We study the dynamics of a family of non cohomologically hyperbolic automorphisms of . We construct a compactification of where their extension…
A new algorithm for graph center computation and graph partitioning according to the distance to the center
Frédéric Protin
We propose a new algorithm for finding the center of a graph, as well as the rank of each node in the hierarchy of distances to the center. In other words, our algorithm allows to…
Pluripotential theory on the support of closed positive currents and applications to dynamics in
Frédéric Protin
We extend certain classical theorems in pluripotential theory to a class of functions defined on the support of a -closed positive current , analogous to plurisubharmonic…
ŁS condition for filled Julia sets in
Frédéric Protin
In this article, we derive an inequality of Łojasiewicz-Siciak type for certain sets arising in the context of the complex dynamics in dimension 1. More precisely, if we denote by…