245 citations · 545 across the 13 of their papers we have counts for
8 papers · 1 filter
Model predictivity assessment: incremental test-set selection and accuracy evaluation
Elias Fekhari, Bertrand Iooss, Joseph Muré +2
Unbiased assessment of the predictivity of models learnt by supervised machine-learning methods requires knowledge of the learned function over a reserved test set (not used by the…
Quasi-uniform designs with optimal and near-optimal uniformity constant
Luc Pronzato, Anatoly Zhigljavsky
A design is a collection of distinct points in a given set , which is assumed to be a compact subset of , and the mesh-ratio of a design is the ratio of its fill distance t…
Bregman divergences based on optimal design criteria and simplicial measures of dispersion
Luc Pronzato, Henry Wynn, Anatoly Zhigljavsky
In previous work the authors defined the k-th order simplicial distance between probability distributions which arises naturally from a measure of dispersion based on the squared v…
Bayesian quadrature and energy minimization for space-filling design
Luc Pronzato, Anatoly Zhigljavsky
A standard objective in computer experiments is to approximate the behaviour of an unknown function on a compact domain from a few evaluations inside the domain. When little is kno…
An extended Generalised Variance, with Applications
Luc Pronzato, Henry Wynn, Anatoly Zhigljavsky
We consider a measure k of dispersion which extends the notion of Wilk's generalised variance, or entropy, for a d-dimensional distribution, and is based on the mean squared vo…
Optimum design accounting for the global nonlinear behavior of the model
Andrej Pázman, Luc Pronzato
Among the major difficulties that one may encounter when estimating parameters in a nonlinear regression model are the nonuniqueness of the estimator, its instability with respect…