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Depth functions for partial orders with a descriptive analysis of machine learning algorithms
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
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
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 …
and persons in the context of (dichotomous) item response analysis. The developed method …