The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Estimation and Inference by Compact Coding
Abstract
SUMMARY: The systematic variation within a set of data, as represented by a usual statistical model, may be used to encode the data in a more compact form than would be possible if they were considered to be purely random. The encoded form has two parts. The first states the inferred estimates of the unknown parameters in the model, the second states the data using an optimal code based on the data probability distribution implied by those parameter estimates. Choosing the model and the estimates that give the most compact coding leads to an interesting general inference procedure. In its strict form it has great generality and several nice properties but is computationally infeasible. An approximate form is developed and its relation to other methods is explored.
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Cites
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Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
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The Predictive Sample Reuse Method with Applications
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A formal theory of inductive inference. Part I
Solomonoff, R. J. (1964) · Information and Control · doi:10.1016/s0019-9958(64)90223-2 · Cited by 1,192
On the Length of Programs for Computing Finite Binary Sequences
Chaitin, G. J. (1966) · Journal of the ACM · doi:10.1145/321356.321363 · Cited by 913
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Spirtes, P., Glymour, C., & Scheines, R. (1993) · Lecture Notes in Statistics · doi:10.1007/978-1-4612-2748-9 · Cited by 4,617
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Model Selection and the Principle of Minimum Description Length
Hansen, M. H., & Yu, B. (2001) · Journal of the American Statistical Association · doi:10.1198/016214501753168398 · Cited by 788
Formal theory of creativity, fun, and intrinsic motivation (1990–2010)
Schmidhuber, J. (2010) · IEEE Transactions on Autonomous Mental Development · doi:10.1109/tamd.2010.2056368 · Cited by 747
Minimum complexity density estimation
Barron, A. R., & Cover, T. M. (1991) · IEEE Transactions on Information Theory · doi:10.1109/18.86996 · Cited by 497
Metadata
- Authors
- Wallace, C. S., & Freeman, P. R.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1987-07-01
- Volume
- 49
- Issue
- 3
- Pages
- 240-252
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W170307911
- Cited by
- 523
- References
- 7
- FWCI
- 4.26
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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