Representing credal imprecision: from sets of measures to hierarchical Bayesian models.

The basic Bayesian model of credence states, where each individual's belief state is represented by a single probability measure, has been criticized as psychologically implausible, unable to represent the intuitive distinction between precise and imprecise probabilities, and normatively unjustifiab...

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Publicado en:Philosophical Studies Vol. 177; no. 6; pp. 1463 - 1486
Autor principal: Lassiter, Daniel
Formato: Artículo
Publicado: Springer Nature Jun2020
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.1007/s11098-019-01262-8
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        au: Lassiter, Daniel
        affil: Department of Linguistics, Stanford University, 450 Serra Mall, Building 460, 94305, Stanford, CA, USA
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        Science
        Developmental psychology & motivation
        Learning
        Forensic orations
        Bayesian analysis
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          Science
          Developmental psychology & motivation
          Learning
          Forensic orations
          Bayesian analysis
      keyword:
        Bayesian cognitive science
        Bayesian epistemology
        Bayesian networks
        Credal imprecision
        Hierarchical Bayesian models
        Philosophy of cognitive science
        Probability
      ab: The basic Bayesian model of credence states, where each individual's belief state is represented by a single probability measure, has been criticized as psychologically implausible, unable to represent the intuitive distinction between precise and imprecise probabilities, and normatively unjustifiable due to a need to adopt arbitrary, unmotivated priors. These arguments are often used to motivate a model on which imprecise credal states are represented by sets of probability measures. I connect this debate with recent work in Bayesian cognitive science, where probabilistic models are typically provided with explicit hierarchical structure. Hierarchical Bayesian models are immune to many classic arguments against single-measure models. They represent grades of imprecision in probability assignments automatically, have strong psychological motivation, and can be normatively justified even when certain arbitrary decisions are required. In addition, hierarchical models show much more plausible learning behavior than flat representations in terms of sets of measures, which—on standard assumptions about update—rule out simple cases of learning from a starting point of total ignorance.
      pubtype: Academic Journal
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      src: R
    language: English
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