6 citations · 6 across the 4 of their papers we have counts for
5 papers
On the maximum product of distances of diameter point sets
Stijn Cambie, Arne Decadt, Yanni Dong +2
We consider a problem posed by Erdős, Herzog and Piranian on the maximum product of distances of a point set of order with a given diameter. We prove that it is sufficient to c…
Extending choice assessments to choice functions: An algorithm for computing the natural extension
Arne Decadt, Alexander Erreygers, Jasper De Bock
We study how to infer new choices from prior choices using the framework of choice functions, a unifying mathematical framework for decision-making based on sets of preference orde…
Decision-making with E-admissibility given a finite assessment of choices
Arne Decadt, Alexander Erreygers, Jasper De Bock +1
Given information about which options a decision-maker definitely rejects from given finite sets of options, we study the implications for decision-making with E-admissibility. Thi…
Inference with Choice Functions Made Practical
Arne Decadt, Jasper De Bock, Gert de Cooman
We study how to infer new choices from previous choices in a conservative manner. To make such inferences, we use the theory of choice functions: a unifying mathematical framework…
Monte Carlo Estimation for Imprecise Probabilities: Basic Properties
Arne Decadt, Gert de Cooman, Jasper De Bock
We describe Monte Carlo methods for estimating lower envelopes of expectations of real random variables. We prove that the estimation bias is negative and that its absolute value s…