8 citations · 19 across the 8 of their papers we have counts for
5 papers · 1 filter
Global sensitivity analysis and Wasserstein spaces
Jean-Claude Fort, Thierry Klein, Agnès Lagnoux
Sensitivity indices are commonly used to quantity the relative inuence of any specic group of input variables on the output of a computer code. In this paper, we focus both on comp…
A Central Limit Theorem for Wasserstein type distances between two different laws
Philippe Berthet, Jean-Claude Fort, Thierry Klein
This article is dedicated to the estimation of Wasserstein distances and Wasserstein costs between two distinct continuous distributions and on . The estimator i…
New Fréchet features for random distributions and associated sensitivity indices
Jean-Claude Fort, Thierry Klein
In this article we define new FrÈchet features for random cumulative distribution functions using contrast. These contrasts allow to construct Wasserstein costs and our new feature…
Remark on the finite-dimensional character of certain results of functional statistics
Jean-Marc Azais, Jean-Claude Fort
This note shows that some assumption on small balls probability, frequently used in the domain of functional statistics, implies that the considered functional space is of finite d…
Theoretical Aspects of the SOM Algorithm
Marie Cottrell, Jean-Claude Fort, Gilles Pagès
The SOM algorithm is very astonishing. On the one hand, it is very simple to write down and to simulate, its practical properties are clear and easy to observe. But, on the other h…