Logo

Around Kolmogorov Complexity: Basic Notions and Results

Small book cover: Around Kolmogorov Complexity: Basic Notions and Results

Around Kolmogorov Complexity: Basic Notions and Results
by

Publisher: arXiv.org
Number of pages: 51

Description:
Algorithmic information theory studies description complexity and randomness and is now a well known field of theoretical computer science and mathematical logic. This report covers the basic notions of algorithmic information theory: Kolmogorov complexity (plain, conditional, prefix), Solomonoff universal a priori probability, notions of randomness, effective Hausdorff dimension.

Home page url

Download or read it online for free here:
Download link
(300KB, PDF)

Similar books

Book cover: Generalized Information Measures and Their ApplicationsGeneralized Information Measures and Their Applications
by - Universidade Federal de Santa Catarina
Contents: Shannon's Entropy; Information and Divergence Measures; Entropy-Type Measures; Generalized Information and Divergence Measures; M-Dimensional Divergence Measures and Their Generalizations; Unified (r,s)-Multivariate Entropies; etc.
(10525 views)
Book cover: Conditional Rate Distortion TheoryConditional Rate Distortion Theory
by - Information Systems Laboratory
The conditional rate-distortion function has proved useful in source coding problems involving the possession of side information. This book represents an early work on conditional rate distortion functions and related theory.
(9214 views)
Book cover: Algorithmic Information TheoryAlgorithmic Information Theory
by - CWI
We introduce algorithmic information theory, also known as the theory of Kolmogorov complexity. We explain this quantitative approach to defining information and discuss the extent to which Kolmogorov's and Shannon's theory have a common purpose.
(10380 views)
Book cover: Logic and InformationLogic and Information
by - ESSLLI
An introductory, comparative account of three mathematical approaches to information: the classical quantitative theory of Claude Shannon, a qualitative theory developed by Fred Dretske, and a qualitative theory introduced by Barwise and Perry.
(12440 views)