[HTML][HTML] Thirty years of credal networks: Specification, algorithms and complexity

DD Mauá, FG Cozman - International Journal of Approximate Reasoning, 2020 - Elsevier
Credal networks generalize Bayesian networks to allow for imprecision in probability values.
This paper reviews the main results on credal networks under strong independence, as …

[HTML][HTML] Robust classification of multivariate time series by imprecise hidden Markov models

A Antonucci, R De Rosa, A Giusti, F Cuzzolin - International Journal of …, 2015 - Elsevier
A novel technique to classify time series with imprecise hidden Markov models is presented.
The learning of these models is achieved by coupling the EM algorithm with the imprecise …

Probabilistic inference in credal networks: new complexity results

DD Mauá, CP de Campos, A Benavoli… - Journal of Artificial …, 2014 - jair.org
Credal networks are graph-based statistical models whose parameters take values in a set,
instead of being sharply specified as in traditional statistical models (eg, Bayesian …

[HTML][HTML] Credal networks under epistemic irrelevance: the sets of desirable gambles approach

J De Bock, G De Cooman - International Journal of Approximate Reasoning, 2015 - Elsevier
We present a new approach to credal networks, which are graphical models that generalise
Bayesian networks to deal with imprecise probabilities. Instead of applying the commonly …

Probabilistic graphical models

A Antonucci, CP Campos… - Introduction to imprecise …, 2014 - Wiley Online Library
This chapter discusses defining a model over its whole set of variables by the composition of
a number of sub‐models each involving only fewer variables. It focuses on the kind of …

Closure operators, classifiers and desirability

A Benavoli, A Facchini… - … Symposium on Imprecise …, 2023 - proceedings.mlr.press
At the core of Bayesian probability theory, or dually desirability theory, lies an assumption of
linearity of the scale in which rewards are measured. We revisit two recent papers that …

An efficient algorithm for estimating state sequences in imprecise hidden Markov models

J De Bock, G De Cooman - Journal of Artificial Intelligence Research, 2014 - jair.org
We present an efficient exact algorithm for estimating state sequences from outputs or
observations in imprecise hidden Markov models (iHMMs). The uncertainty linking one state …

Hidden Markov models with set-valued parameters

DD Maua, A Antonucci, CP de Campos - Neurocomputing, 2016 - Elsevier
Abstract Hidden Markov models (HMMs) are widely used probabilistic models of sequential
data. As with other probabilistic models, they require the specification of local conditional …

[HTML][HTML] Kuznetsov independence for interval-valued expectations and sets of probability distributions: Properties and algorithms

FG Cozman, CP De Campos - International Journal of Approximate …, 2014 - Elsevier
Kuznetsov independence of variables X and Y means that, for any pair of bounded functions
f (X) and g (Y), E [f (X) g (Y)]= E [f (X)]⊠ E [g (Y)], where E [⋅] denotes interval-valued …

Almost no news on the complexity of map in Bayesian networks

CP de Campos - International Conference on Probabilistic …, 2020 - proceedings.mlr.press
This article discusses the current state of the art in terms of computational complexity for the
problem of finding the most probable configuration of a subset of variables in a multivariate …