This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover basic notions of algorithmic information theory: Kolmogorov complexity (plain, conditional, prefix), notion of randomness (Martin-Lof randomness, Mises-Church randomness), Solomonoff universal a priori probability and their properties (symmetry of information, connection between a priori probability and prefix complexity, criterion of randomness in terms of complexity) and applications (incompressibility method in computational complexity theory, incompleteness theorems)
In contrast to statistical entropy which measures the quantity of information in an average object ...
Information theory is a well developed field, but does not capture the essence of what information ...
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to w...
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover ...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
(eng) We explain the basics of the theory of the Kolmogorov complexity}, also known as algorithmic i...
We explain the basics of the theory of the Kolmogorov complexity}, also known as algorithmic informa...
We explain the basics of the theory of the Kolmogorov complexity}, also known as algorithmic informa...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
Information theory is a branch of mathematics that attempts to quantify information. To quantify inf...
The article further develops Kolmogorov's algorithmic complexity theory. The definition of randomnes...
In 1964 Kolmogorov introduced the concept of the complexity of a finite object (for instance, the wo...
The notion of algorithmic complexity (also sometimes called \algorithmic en-tropy") appeared in...
Written by two experts in the field, this book is ideal for advanced undergraduate students, graduat...
There arose two successful formalisations of the quantitative aspect of information over the course ...
In contrast to statistical entropy which measures the quantity of information in an average object ...
Information theory is a well developed field, but does not capture the essence of what information ...
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to w...
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover ...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
(eng) We explain the basics of the theory of the Kolmogorov complexity}, also known as algorithmic i...
We explain the basics of the theory of the Kolmogorov complexity}, also known as algorithmic informa...
We explain the basics of the theory of the Kolmogorov complexity}, also known as algorithmic informa...
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We e...
Information theory is a branch of mathematics that attempts to quantify information. To quantify inf...
The article further develops Kolmogorov's algorithmic complexity theory. The definition of randomnes...
In 1964 Kolmogorov introduced the concept of the complexity of a finite object (for instance, the wo...
The notion of algorithmic complexity (also sometimes called \algorithmic en-tropy") appeared in...
Written by two experts in the field, this book is ideal for advanced undergraduate students, graduat...
There arose two successful formalisations of the quantitative aspect of information over the course ...
In contrast to statistical entropy which measures the quantity of information in an average object ...
Information theory is a well developed field, but does not capture the essence of what information ...
We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to w...