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» Random Access to Advice Strings and Collapsing Results
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ISAAC
2004
Springer
87views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Random Access to Advice Strings and Collapsing Results
We propose a model of computation where a Turing machine is given random access to an advice string. With random access, an advice string of exponential length becomes meaningful ...
Jin-yi Cai, Osamu Watanabe
CORR
2011
Springer
147views Education» more  CORR 2011»
12 years 12 months ago
Symmetry of information and bounds on nonuniform randomness extraction via Kolmogorov extractors
We prove a strong Symmetry of Information relation for random strings (in the sense of Kolmogorov complexity) and establish tight bounds on the amount on nonuniformity that is nec...
Marius Zimand
COCO
2010
Springer
148views Algorithms» more  COCO 2010»
13 years 8 months ago
Derandomizing from Random Strings
—In this paper we show that BPP is truth-table reducible to the set of Kolmogorov random strings RK . It was previously known that PSPACE, and hence BPP is Turingreducible to RK ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
ICC
2009
IEEE
198views Communications» more  ICC 2009»
13 years 11 months ago
On the Capacity Region of the Gaussian Multiple Access Channel with Noisy Feedback
—We provide a new outer bound on the capacity region of the two-user Gaussian multiple access channel (MAC) with AWGN-corrupted feedback. Our outer bound is based on the idea of ...
Ravi Tandon, Sennur Ulukus
COCO
2006
Springer
93views Algorithms» more  COCO 2006»
13 years 8 months ago
Making Hard Problems Harder
We consider a general approach to the hoary problem of (im)proving circuit lower bounds. We define notions of hardness condensing and hardness extraction, in analogy to the corres...
Joshua Buresh-Oppenheim, Rahul Santhanam