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Another motivation for reducing the randomness complexity of algorithms. (English) Zbl 1291.68430
Goldreich, Oded (ed.), Studies in complexity and cryptography. Miscellanea on the interplay between randomness and computation. In collaboration with Lidor Avigad, Mihir Bellare, Zvika Brakerski, Shafi Goldwasser, Shai Halevi, Tali Kaufman, Leonid Levin, Noam Nisan, Dana Ron, Madhu Sudan, Luca Trevisan, Salil Vadhan, Avi Wigderson, David Zuckerman. Berlin: Springer (ISBN 978-3-642-22669-4/pbk). Lecture Notes in Computer Science 6650, 555-560 (2011).
Summary: We observe that the randomness-complexity of an algorithm effects the time-complexity of implementing a version of it that utilizes a weak source of randomness (through a randomness-extractor). This provides an additional motivation for the study of the randomness complexity of randomized algorithms. We note that this motivation applies especially in the case that derandomization is prohibitingly costly.
For the entire collection see [Zbl 1220.68005].
MSC:
68W20 Randomized algorithms
60-08 Computational methods for problems pertaining to probability theory
94A20 Sampling theory in information and communication theory
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