4 papers
On Vector Field Reconstruction from Noisy ODE in High Ambient Dimension
Hugo Henneuse
This work investigates the nonparametric estimation of the vector field of a noisy Ordinary Differential Equation (ODE) in high-dimensional ambient spaces, under the assumption tha…
A Geometric Approach for Multivariate Jumps Detection
Hugo Henneuse
Our study addresses the inference of jumps (i.e. sets of discontinuities) within multivariate signals from noisy observations in the non-parametric regression setting. Departing fr…
Persistence-based Modes Inference
Hugo Henneuse
We address the problem of estimating multiple modes of a multivariate density using persistent homology, a central tool in Topological Data Analysis. We introduce a method based on…
Persistence Diagram Estimation : Beyond Plug-in Approaches
Hugo Henneuse
Persistent homology is a tool from Topological Data Analysis (TDA) used to summarize the topology underlying data. It can be conveniently represented through persistence diagrams.…