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Envelope Theorems and Dilation with Convex Conditional Previsions.
2005This paper focuses on establishing envelope theorems for convex conditional lower previsions, a recently investigated class of imprecise previsions larger than coherent imprecise conditional previsions. It is in particular discussed how the various theorems can be employed in assessing convex previsions.
PELESSONI, RENATO, VICIG, PAOLO
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Incomplete preferences on conditional random quantities: Representability by conditional previsions
Mathematical Social Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2023
The proceedings contain 18 papers. The special focus in this conference is on Modeling Decisions for Artificial Intelligence. The topics include: Bayesian Logistic Model for Positive and Unlabeled Data; a Goal-Oriented Specification Language for Reinforcement Learning; improved Spectral Norm Regularization for Neural Networks; preprocessing Matters ...
Serena Doria, Bilel Selmi
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The proceedings contain 18 papers. The special focus in this conference is on Modeling Decisions for Artificial Intelligence. The topics include: Bayesian Logistic Model for Positive and Unlabeled Data; a Goal-Oriented Specification Language for Reinforcement Learning; improved Spectral Norm Regularization for Neural Networks; preprocessing Matters ...
Serena Doria, Bilel Selmi
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2020
In this paper, the model of coherent upper and lower conditional previsions is proposed to represent preference orderings and equivalences between random variables that human beings consider consciously or unconsciously when making decisions. To solve the contradiction, Linda’s Problem (i.e., conjunction fallacy) is re-interpreted in terms of the ...
Serena Doria, Alessandra Cenci
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In this paper, the model of coherent upper and lower conditional previsions is proposed to represent preference orderings and equivalences between random variables that human beings consider consciously or unconsciously when making decisions. To solve the contradiction, Linda’s Problem (i.e., conjunction fallacy) is re-interpreted in terms of the ...
Serena Doria, Alessandra Cenci
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International Journal of General Systems, 2021
In a metric space ( Ω , d ) , coherent upper conditional previsions are defined by Hausdorff outer measures on the linear space of all absolutely Choquet integrable random variables.
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In a metric space ( Ω , d ) , coherent upper conditional previsions are defined by Hausdorff outer measures on the linear space of all absolutely Choquet integrable random variables.
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Volume 10: Mechanical Systems and Control, Parts A and B, 2009
The primary difference between precise and imprecise probability theories lies in the allowance for imprecision, or a gap between upper and lower expectations (also called previsions) of bounded real functions. This gap generates a set of probability distributions or measures. As a result, in imprecise probabilities, the notion of independence on joint
Tonon, Fulvio +2 more
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The primary difference between precise and imprecise probability theories lies in the allowance for imprecision, or a gap between upper and lower expectations (also called previsions) of bounded real functions. This gap generates a set of probability distributions or measures. As a result, in imprecise probabilities, the notion of independence on joint
Tonon, Fulvio +2 more
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2022
Coherent upper conditional probabilities defined by Hausdorff outer measure are proposed to represent the unconscious activities of the human brain when information are given. In the model uncertainty measures are defined according to the complexity of the conditioning event that represent the given information.
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Coherent upper conditional probabilities defined by Hausdorff outer measure are proposed to represent the unconscious activities of the human brain when information are given. In the model uncertainty measures are defined according to the complexity of the conditioning event that represent the given information.
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Coherent Upper and Lower Conditional Previsions Defined by Hausdorff Outer and Inner Measures
2011A new model of coherent upper conditional previsions is proposed to represent uncertainty and to make previsions in complex systems. It is defined by the Choquet integral with respect to Hausdorff outer measure if the conditioning event has positive and finite Hausdorff outer measure in its Hausdorff dimension.
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Chaos, Solitons & Fractals
In this paper, we compute the generalized Hausdorff and packing dimensions of self-similar sets that meet the open set condition. We thoroughly characterize the class of Hausdorff gauges and generalized pre-packing gauges for a self-similar set A that satisfies the open set condition under certain criteria.
Rim Achour +3 more
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In this paper, we compute the generalized Hausdorff and packing dimensions of self-similar sets that meet the open set condition. We thoroughly characterize the class of Hausdorff gauges and generalized pre-packing gauges for a self-similar set A that satisfies the open set condition under certain criteria.
Rim Achour +3 more
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CONDITIONAL PREVISIONS IN IMPRECISE RELIABILITY
Intelligent Techniques and Soft Computing in Nuclear Science and Engineering, 2000LEV V. UTKIN, IGOR O. KOZINE
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