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2005Advances in Minimum Description Length (MIT Press)

A tutorial introduction to the minimum description length principle

Peter Grünwald

What this work does

Contrasts two-part description length with refined universal coding and normalized maximum likelihood, exposing model-complexity costs that depend on a specified model family.

Connection to discovery

Provides an explicit fit-versus-complexity objective for candidate explanations, and a way to discuss changes in an effective hypothesis language.

Evidence

Tutorial derivations and worked statistical examples support the criterion; this is not an experimental agent-training study.

Scope and limitations

Ideal Kolmogorov complexity is uncomputable. Practical model partitioning, finite-sample coding choices and optimization approximations affect conclusions; compression does not by itself establish causation.

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