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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Vitanyi, P. Ming Li |
| Copyright Year | 1998 |
| Description | Author affiliation: CWI, Amsterdam, Netherlands (Vitanyi, P.) |
| Abstract | The relationship between the Bayesian approach and the minimum description length approach is established. We sharpen and clarify the general modeling principles MDL and MML, abstracted as the ideal MDL principle and defined from Bayes's rule by means of Kolmogorov complexity. The basic condition under which the ideal principle should be applied is encapsulated as the fundamental inequality, which in broad terms states that the principle is valid when the data are random, relative to every contemplated hypothesis and also these hypotheses are random relative to the (universal) prior. Basically, the prior probability associated with the hypothesis should be given by the algorithmic universal probability, and the sum of the log universal probability of the model plus the log of the probability of the data given the model should be minimized. This shows that data compression is almost always the best strategy, both in hypothesis identification and prediction. |
| File Size | 130509 |
| File Format | |
| ISBN | 0780350006 |
| DOI | 10.1109/ISIT.1998.708951 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1998-08-16 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Bayesian methods Data compression Computer science Computational modeling Turing machines Automatic testing Extrapolation |
| Content Type | Text |
| Resource Type | Article |
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