Design and analysis of randomized algorithms : introduction to design paradigms

Randomness is a powerful tool (instrument) for solving various problems in all areas of computer applications. Randomized algorithms are often more efficient, simpler (and so easier to implement), and surprisingly also more reliable than their best deterministic counterparts. One knows computing tasks whose processing by the fastest known deterministic programs would require billions years of computer work, but randomized algorithms solve them in a few minutes with a negligible error probability below one over the number of seconds since the big bang. How and why is it possible to cause such fascinatingly huge gains ? Introducing the wonderful word of randomness this book does not only systematically teach the paradigmic algorithm design methods such as foiling an adversary, abundance of witnesses, fingerprinting, amplification ,and random sampling, but it also provides a deep insight into the nature of the success of randomization. Taking sufficient space for presenting motivation and for developing reader's intuition, and though being rigor, this text become a "cheap" ticket into the exciting area of randomization even for (very) beginners. TOC:1. Introduction; 2. Fundamentals; 3. Foiling the Adversary; 4. Fingerprinting; 5. Success Amplification and Random Sampling; 6. Abundance of Witnesses; 7. Optimization and Random Rounding; Appendix: Fundamentals of Mathematics; References; Index

Location
Deutsche Nationalbibliothek Frankfurt am Main
ISBN
9783540239499
3540239499
Dimensions
24 cm
Extent
XII, 274 S.
Language
Englisch
Notes
graph. Darst.
Literaturverz. S. 267 - 269

Classification
Informatik
Mathematik
Keyword
Randomisierter Algorithmus

Event
Veröffentlichung
(where)
Berlin, Heidelberg, New York
(who)
Springer
(when)
2005
Creator

Table of contents
Rights
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Last update
11.06.2025, 2:08 PM CEST

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Associated

Time of origin

  • 2005

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