7 papers
An Introduction to Copulas: a Complement
Werner G. Müller
For many years I have taught an advanced statistical inference course for master's students using the text of Casella and Berger (2002). The book gives a comprehensive treatment of…
Practical aspects of the virtual noise convex optimum design approach for correlated responses
Markus Hainy, Werner G. Müller, Andrej Pázman
In this paper we present several practically-oriented extensions and considerations for the virtual noise method in optimal design under correlation. First we introduce a slightly…
Green LIME: Improving AI Explainability through Design of Experiments
Alexandra Stadler, Werner G. Müller, Radoslav Harman
In artificial intelligence (AI), the complexity of many models and processes surpasses human understanding, making it challenging to determine why a specific prediction is made. Th…
Active Discrimination Learning for Gaussian Process Models
Elham Yousefi, Luc Pronzato, Markus Hainy +2
The paper covers the design and analysis of experiments to discriminate between two Gaussian process models, such as those widely used in computer experiments, kriging, sensor loca…
A convex approach to optimum design of experiments with correlated observations
Andrej Pázman, Markus Hainy, Werner G. Müller
Optimal design of experiments for correlated processes is an increasingly relevant and active research topic. Present methods have restricted possibilities to judge their quality.…
Bayesian design for minimising prediction uncertainty in bivariate spatial responses with applications to air quality monitoring
S. G. Jagath Senarathne, Werner G. Müller, James M. McGree
Model-based geostatistical design involves the selection of locations to collect data to minimise an expected loss function over a set of all possible locations. The loss function…
Privacy sets for constrained space-filling
Eva Benková, Radoslav Harman, Werner G. Müller
The paper provides typology for space filling into what we call "soft" and "hard" methods along with introducing the central notion of privacy sets for dealing with the latter. A h…