Bayes not Bust! Why Simplicity is no Problem for Bayesians1
@article{Dowe2007BayesNB, title={Bayes not Bust! Why Simplicity is no Problem for Bayesians1}, author={David L. Dowe and Steve Gardner and Graham Oppy}, journal={The British Journal for the Philosophy of Science}, year={2007}, volume={58}, pages={709 - 754} }
The advent of formal definitions of the simplicity of a theory has important implications for model selection. But what is the best way to define simplicity? Forster and Sober ([1994]) advocate the use of Akaike's Information Criterion (AIC), a non-Bayesian formalisation of the notion of simplicity. This forms an important part of their wider attack on Bayesianism in the philosophy of science. We defend a Bayesian alternative: the simplicity of a theory is to be characterised in terms of…
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References
SHOWING 1-10 OF 103 REFERENCES
Simplicity, Inference and Modelling
- Philosophy
- 2002
The idea that simplicity matters in science is as old as science itself, with the much cited example of Ockham's Razor, 'entia non sunt multiplicanda praeter necessitatem': entities are not to be…
Model Selection in Science: The Problem of Language Variance
- PhilosophyThe British Journal for the Philosophy of Science
- 1999
Recent solutions to the curve-fitting problem, described in Forster and Sober ([1995]), trade off the simplicity and fit of hypotheses by defining simplicity as the paucity of adjustable parameters.…
Bayes and Bust: Simplicity as a Problem for a Probabilist's Approach to Confirmation1
- PhilosophyThe British Journal for the Philosophy of Science
- 1995
The central problem with Bayesian philosophy of science is that it cannot take account of the relevance of simplicity and unification to confirmation, induction, and scientific inference. The…
MML mixture modelling of multi-state, Poisson, von Mises circular and Gaussian distributions
- Computer Science
- 1997
The MML theory can be regarded as the theory with the highest posterior probability, and the MML mixture modelling program, Snob, uses the message lengths from various parameter estimates to enable it to combine parameter estimation with selection of the number of components.
How to Tell When Simpler, More Unified, or Less Ad Hoc Theories will Provide More Accurate Predictions
- PhilosophyThe British Journal for the Philosophy of Science
- 1994
It is argued that this approach throws light on the theoretical virtues of parsimoniousness, unification, and non ad hocness, on the dispute about Bayesianism, and on empiricism and scientific realism.
Key Concepts in Model Selection: Performance and Generalizability.
- BiologyJournal of mathematical psychology
- 2000
It seems that simplicity and parsimony may be an additional factor in managing these errors, in which case the standard methods of model selection are incomplete implementations of Occam's razor.
MML clustering of multi-state, Poisson, von Mises circular and Gaussian distributions
- Computer ScienceStat. Comput.
- 2000
This work outlines how MML is used for statistical parameter estimation, and how the MML mixture modelling program, Snob, uses the message lengths from various parameter estimates to enable it to combine parameter estimation with selection of the number of components and estimation of the relative abundances of the components.
Refinements of MDL and MML Coding
- Computer ScienceComput. J.
- 1999
We discuss Rissanen’s scheme of ‘complete coding’ in which a two-part data code is further shortened by conditioning the second part not only on the estimates, but also on the fact that these…
MML Estimation of the Parameters of the Sherical Fisher Distribution
- MathematicsALT
- 1996
This work applies the information-theoretic Minimum Message Length principle to the problem of estimating the concentration parameter, κ, of spherical Fisher distributions, and shows that the MML estimator compares quite favourably against alternative Bayesian methods.
Minimum Message Length and Kolmogorov Complexity
- Computer ScienceComput. J.
- 1999
This work attempts to establish a parallel between a restricted (two-part) version of the Kolmogorov model and the minimum message length approach to statistical inference and machine learning of Wallace and Boulton (1968), in which an ‘explanation’ of a data string is modelled as a two-part message.