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» Randomized Algorithms and Complexity Theory
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LATIN
1998
Springer
15 years 3 months ago
The CREW PRAM Complexity of Modular Inversion
One of the long-standing open questions in the theory of parallel computation is the parallel complexity of the integer gcd and related problems, such as modular inversion. We pres...
Joachim von zur Gathen, Igor Shparlinski
CORR
2004
Springer
110views Education» more  CORR 2004»
14 years 11 months ago
Shannon Information and Kolmogorov Complexity
The elementary theories of Shannon information and Kolmogorov complexity are cmpared, the extent to which they have a common purpose, and where they are fundamentally different. T...
Peter Grünwald, Paul M. B. Vitányi
STOC
1994
ACM
93views Algorithms» more  STOC 1994»
15 years 3 months ago
Scalable expanders: exploiting hierarchical random wiring
Recent work has shown many advantages to randomly wired expander-based networks. Unfortunately, the wiring complexity of such networks becomes physically problematic as they becom...
Eric A. Brewer, Frederic T. Chong, Tom Leighton
SAGA
2007
Springer
15 years 5 months ago
Probabilistic Techniques in Algorithmic Game Theory
We consider applications of probabilistic techniques in the framework of algorithmic game theory. We focus on three distinct case studies: (i) The exploitation of the probabilistic...
Spyros C. Kontogiannis, Paul G. Spirakis
NIPS
2003
15 years 1 months ago
From Algorithmic to Subjective Randomness
We explore the phenomena of subjective randomness as a case study in understanding how people discover structure embedded in noise. We present a rational account of randomness per...
Thomas L. Griffiths, Joshua B. Tenenbaum