5 papers
Relation between Hitting Times and Probabilities for Imprecise Markov Chains
Marco Sangalli, Erik Quaeghebeur, Thomas Krak
In the present paper, we investigate the relationship between hitting times and hitting probabilities in discrete-time imprecise Markov chains (IMCs). We define lower and upper hit…
Lower and Upper Expected Hitting Times for Weighted Imprecise Markov Chains
Marco Sangalli, Thomas Krak
In this paper, we extend hitting times for imprecise Markov chains to the framework of weighted imprecise Markov chains (WIMCs), in which each transition is associated with a stric…
Computing Lower and Upper Hitting Probabilities for Imprecise Markov Chains
Marco Sangalli, Erik Quaeghebeur, Thomas Krak
We study the computation of lower and upper probabilities of hitting a target set of states for imprecise Markov chains, where transition uncertainty is modelled by a convex set of…
Upper Expected Meeting Times for Interdependent Stochastic Agents
Marco Sangalli, Erik Quaeghebeur, Thomas Krak
We analyse the problem of meeting times for interdependent stochastic agents: random walkers whose behaviour is stochastic but controlled by their selections from some set of allow…
Towards conservative inference in credal networks using belief functions: the case of credal chains
Marco Sangalli, Thomas Krak, Cassio de Campos
This paper explores belief inference in credal networks using Dempster-Shafer theory. By building on previous work, we propose a novel framework for propagating uncertainty through…