Design and Analysis of Randomized Algorithms Introduction to Design Paradigms /

• Κύριος συγγραφέας: HromkoviČ, Juraj (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Σειρά: Texts in Theoretical Computer Science An EATCS Series,
• Θέματα: Computer science.; Computer programming.; Computers.; Algorithms.; Computer science > Mathematics.; Computer Science.; Programming Techniques.; Algorithm Analysis and Problem Complexity.; Computation by Abstract Devices.; Discrete Mathematics in Computer Science.

 Randomness is a powerful phenomenon that can be harnessed to solve various problems in all areas of computer science. Randomized algorithms are often more efficient, simpler and, surprisingly, also more reliable than their deterministic counterparts. Computing tasks exist that require billions of years of computer work when solved using the fastest known deterministic algorithms, but they can be solved using randomized algorithms in a few minutes with negligible error probabilities. Introducing the fascinating world of randomness, this book systematically teaches the main algorithm design paradigms – foiling an adversary, abundance of witnesses, fingerprinting, amplification, and random sampling, etc. – while also providing a deep insight into the nature of success in randomization. Taking sufficient time to present motivations and to develop the reader's intuition, while being rigorous throughout, this text is a very effective and efficient introduction to this exciting field. 

 Fundamentals -- Foiling the Adversary -- Fingerprinting -- Success Amplification and Random Sampling -- Abundance of Witnesses -- Optimization and Random Rounding.