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Paul M. B. Vitányi

Researcher at University of Amsterdam

Publications -  369
Citations -  22361

Paul M. B. Vitányi is an academic researcher from University of Amsterdam. The author has contributed to research in topics: Kolmogorov complexity & Kolmogorov structure function. The author has an hindex of 51, co-authored 367 publications receiving 21622 citations. Previous affiliations of Paul M. B. Vitányi include Centrum Wiskunde & Informatica & University at Buffalo.

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Book

An Introduction to Kolmogorov Complexity and Its Applications

TL;DR: The Journal of Symbolic Logic as discussed by the authors presents a thorough treatment of the subject with a wide range of illustrative applications such as the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing.

An Introduction to Kolmogorov Complexity and Its Applications

TL;DR: The book presents a thorough treatment of the central ideas and their applications of Kolmogorov complexity with a wide range of illustrative applications, and will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics.
Journal ArticleDOI

The Google Similarity Distance

TL;DR: A new theory of similarity between words and phrases based on information distance and Kolmogorov complexity is presented, which is applied to construct a method to automatically extract similarity, the Google similarity distance, of Words and phrases from the WWW using Google page counts.
Journal ArticleDOI

Clustering by compression

TL;DR: Evidence of successful application in areas as diverse as genomics, virology, languages, literature, music, handwritten digits, astronomy, and combinations of objects from completely different domains, using statistical, dictionary, and block sorting compressors is reported.
Posted Content

The similarity metric

TL;DR: A new "normalized information distance" is proposed, based on the noncomputable notion of Kolmogorov complexity, and it is demonstrated that it is a metric and called the similarity metric.