Search Results - "de Cooman, Gert"
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A Robust Dynamic Classifier Selection Approach for Hyperspectral Images with Imprecise Label Information
Published in Sensors (Basel, Switzerland) (15-09-2020)“…Supervised hyperspectral image (HSI) classification relies on accurate label information. However, it is not always possible to collect perfectly accurate…”
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Imprecise probability trees: Bridging two theories of imprecise probability
Published in Artificial intelligence (01-07-2008)“…We give an overview of two approaches to probability theory where lower and upper probabilities, rather than probabilities, are used: Walley's behavioural…”
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Optimal control of a linear system subject to partially specified input noise
Published in International journal of robust and nonlinear control (01-08-2019)“…Summary One of the most basic problems in control theory is that of controlling a discrete‐time linear system subject to uncertain noise with the objective of…”
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Coherent and Archimedean choice in general Banach spaces
Published in International journal of approximate reasoning (01-01-2022)“…I introduce and study a new notion of Archimedeanity for binary and non-binary choice between options that live in an abstract Banach space, through a very…”
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Imprecision in martingale- and test-theoretic prequential randomness
Published in International journal of approximate reasoning (01-07-2024)“…In a prequential approach to algorithmic randomness, probabilities for the next outcome can be forecast ‘on the fly’ without the need for fully specifying a…”
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Randomness is inherently imprecise
Published in International journal of approximate reasoning (01-02-2022)“…We use the martingale-theoretic approach of game-theoretic probability to incorporate imprecision into the study of randomness. In particular, we define…”
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Exchangeability and sets of desirable gambles
Published in International journal of approximate reasoning (01-04-2012)“…Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We give a general discussion of…”
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The logic behind desirable sets of things, and its filter representation
Published in International journal of approximate reasoning (01-09-2024)“…We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of…”
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Extended papers from the 11th International Symposium on Imprecise Probabilities: Theories and Applications
Published in International journal of approximate reasoning (01-05-2024)Get full text
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On the (dis)similarities between stationary imprecise and non-stationary precise uncertainty models in algorithmic randomness
Published in International journal of approximate reasoning (01-12-2022)“…The field of algorithmic randomness studies, amongst other things, what it means for infinite binary sequences to be random for some given uncertainty model…”
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POSSIBILITY THEORY II: CONDITIONAL POSSIBILITY
Published in International journal of general systems (01-01-1997)“…It is shown that the nolion of conditional possibility can be consistently iniroduced in possibility theory, in very much the same way as conditional…”
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A particular upper expectation as global belief model for discrete-time finite-state uncertain processes
Published in International journal of approximate reasoning (01-04-2021)“…To model discrete-time finite-state uncertain processes, we argue for the use of a global belief model in the form of an upper expectation that is the most…”
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Game-theoretic upper expectations for discrete-time finite-state uncertain processes
Published in Journal of mathematical analysis and applications (15-12-2021)“…Game-theoretic upper expectations are joint (global) probability models that mathematically describe the behaviour of uncertain processes in terms of…”
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Imprecise stochastic processes in discrete time: global models, imprecise Markov chains, and ergodic theorems
Published in International journal of approximate reasoning (01-09-2016)“…We justify and discuss expressions for joint lower and upper expectations in imprecise probability trees, in terms of the sub- and supermartingales that can be…”
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Coherence of rules for defining conditional possibility
Published in International journal of approximate reasoning (01-05-1999)“…Possibility measures and conditional possibility measures are given a behavioural interpretation as marginal betting rates against events. Under this…”
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POSSIBILITY THEORY I: THE MEASURE- AND INTEGRAL-THEORETIC GROUNDWORK
Published in International journal of general systems (01-01-1997)“…In this paper, I provide the basis for a measure- and integral-theoretic formulation of possibility theory. It is shown thai, using a general definition of…”
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Coherent choice functions, desirability and indifference
Published in Fuzzy sets and systems (15-06-2018)“…We investigate how to model indifference with choice functions. We take the coherence axioms for choice functions proposed by Seidenfeld, Schervisch and Kadane…”
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A possibilistic hierarchical model for behaviour under uncertainty
Published in Theory and decision (01-06-2002)“…Hierarchical models are commonly used for modelling uncertainty. They arise whenever there is a "correct" or "ideal" uncertainty model but the modeller is…”
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Accept & reject statement-based uncertainty models
Published in International journal of approximate reasoning (01-02-2015)“…We develop a framework for modelling and reasoning with uncertainty based on accept and reject statements about gambles. It generalises the frameworks found in…”
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POSSIBILITY THEORY III: POSSIBILISTIC INDEPENDENCE
Published in International journal of general systems (01-01-1997)“…The introduction of the notion of independence in possibility theory is a problem of long-standing interest. Many of the measure-theoretic definitions that…”
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