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Kolmogorov: description length through algorithms

Kolmogorov measured the complexity of a finite object relative to given information by the shortest program producing it. An optimal method compares with other effective methods up to an additive constant.

What is recorded here?

Kolmogorov measured the complexity of a finite object relative to given information by the shortest program producing it. An optimal method compares with other effective methods up to an additive constant. The algorithmic approach separates the size of a description from statistical probabilities or the object's meaning. It supplies a language for compression and individual finite objects, distinct from Kolmogorov's probability axioms and turbulence work.

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Scientific scope

Objects require an encoding and description method. The comparison constant is not zero, and the resulting complexity is not generally computable. Program length does not charge the time needed to find or execute a program.

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People and systems

Andrey N. Kolmogorov

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English catalogue narrative

Kolmogorov: description length through algorithms

Kolmogorov measured the complexity of a finite object relative to given information by the shortest program producing it. An optimal method compares with other effective methods up to an additive constant.

The algorithmic approach separates the size of a description from statistical probabilities or the object's meaning. It supplies a language for compression and individual finite objects, distinct from Kolmogorov's probability axioms and turbulence work.

Scientific scope

Objects require an encoding and description method. The comparison constant is not zero, and the resulting complexity is not generally computable. Program length does not charge the time needed to find or execute a program.

People and systems

Andrey N. Kolmogorov

Original sources