Books written by Paul Vitanyi
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Computational Learning Theory: Second European Conference, EuroCOLT '95, Barcelona, Spain, March 13 - 15, 1995. Proceedings
( M93 ] ) , we now write w for l . w is the dimension of the weight space . ... For w = 1 , we can use another method , going back to Hardy ( H12 ] , allowing us to replace mw ( mw - 1 ) ( = m ( m - 1 ) ) by a term linear in m .
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An Introduction to Kolmogorov Complexity and Its Applications
If A is both recursively enumerable and r-hard, then A is called r-complete Show that the halting set Ko in the proof of Lemma 1.6 is an example of an r-complete set (all r = 1, m,T). Show that K in Item (c) is another example. Comments ...
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An Introduction to Kolmogorov Complexity and Its Applications
We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book.
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An Introduction to Kolmogorov Complexity and Its Applications
The text covers both the fundamental concepts and the most important practical applications, supported by a wealth of didactic features.
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An Introduction to Kolmogorov Complexity and Its Applications
“The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic Logic Written by two experts in the field, this ...
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An Introduction to Kolmogorov Complexity and Its Applications
We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book.