Depth functions for partial orders with a descriptive analysis of machine learning algorithms

H Blocher, G Schollmeyer, C Jansen… - International …, 2023 - proceedings.mlr.press
We propose a framework for descriptively analyzing sets of partial orders based on the
concept of depth functions. Despite intensive studies of depth functions in linear and metric …

Concepts for decision making under severe uncertainty with partial ordinal and partial cardinal preferences

C Jansen, G Schollmeyer… - Proceedings of the tenth …, 2017 - proceedings.mlr.press
We introduce three different approaches for decision making under uncertainty, if (I) there is
only partial (both cardinal and ordinal) information on an agent's preferences and (II) the …

Information efficient learning of complexly structured preferences: Elicitation procedures and their application to decision making under uncertainty

C Jansen, H Blocher, T Augustin… - International Journal of …, 2022 - Elsevier
In this paper we propose efficient methods for elicitation of complexly structured preferences
and utilize these in problems of decision making under (severe) uncertainty. Based on the …

[HTML][HTML] Comparing machine learning algorithms by union-free generic depth

H Blocher, G Schollmeyer, M Nalenz… - International Journal of …, 2024 - Elsevier
We propose a framework for descriptively analyzing sets of partial orders based on the
concept of depth functions. Despite intensive studies in linear and metric spaces, there is …

Quantifying Degrees of E-admissibility in Decision Making with Imprecise Probabilities

C Jansen, G Schollmeyer, T Augustin - … and Statistics: Essays in Honor of …, 2022 - Springer
This paper is concerned with decision making using imprecise probabilities and looks at
extensions and aspects of the criterion of E-admissibility, as introduced by Levi and …

Contributions to the Decision Theoretic Foundations of Machine Learning and Robust Statistics under Weakly Structured Information

C Jansen - arxiv preprint arxiv:2501.10195, 2025 - arxiv.org
This habilitation thesis is cumulative and, therefore, is collecting and connecting research
that I (together with several co-authors) have conducted over the last few years. Thus, the …

[PDF][PDF] Relational methods for statistical analysis and decision making in the context of non-standard data-and information structures

G Schollmeyer - researchgate.net
“It is often said that mathematics is a language. If so, group theory provides the proper
vocabulary for discussing symmetry. In the same way, lattice theory provides the proper …

A simple descriptive method for multidimensional item response theory based on stochastic dominance

G Schollmeyer, C Jansen, T Augustin - 2017 - epub.ub.uni-muenchen.de
In this paper we develop a descriptive concept of a (partially) ordinal joint scaling of items
and persons in the context of (dichotomous) item response analysis. The developed method …