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ECCC
2010
108views more  ECCC 2010»
13 years 5 months ago
Improved bounds for the randomized decision tree complexity of recursive majority
We consider the randomized decision tree complexity of the recursive 3-majority function. For evaluating a height h formulae, we prove a lower bound for the -two-sided-error rando...
Frédéric Magniez, Ashwin Nayak, Mikl...
IPL
2010
82views more  IPL 2010»
13 years 6 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 7 months ago
Concave Programming Upper Bounds on the Capacity of 2-D Constraints
The capacity of 1-D constraints is given by the entropy of a corresponding stationary maxentropic Markov chain. Namely, the entropy is maximized over a set of probability distribut...
Ido Tal, Ron M. Roth
GLOBECOM
2008
IEEE
14 years 2 months ago
A New Upper Bound for a Binary Additive Noisy Multiple Access Channel with Feedback
— We use the idea of dependence balance [1] to obtain the first improvement over the cut-set bound for the discrete memoryless multiple access channel with noiseless feedback (M...
Ravi Tandon, Sennur Ulukus
TIT
2011
116views more  TIT 2011»
13 years 3 months ago
Convex Programming Upper Bounds on the Capacity of 2-D Constraints
—The capacity of 1-D constraints is given by the entropy of a corresponding stationary maxentropic Markov chain. Namely, the entropy is maximized over a set of probability distri...
Ido Tal, Ron M. Roth