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TIT
2011
112views more  TIT 2011»
14 years 8 months ago
On the Secure Degrees of Freedom of Relaying With Half-Duplex Feedback
—Secure communication protocols over a single-relay system in the presence of a multiple-antenna eavesdropper are investigated. When there is no direct link between the source an...
Thanh Tùng Kim, H. Vincent Poor
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
15 years 4 months ago
The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions
Abstract. We prove asymptotically optimal bounds on the Gaussian noise sensitivity of degree-d polynomial threshold functions. These bounds translate into optimal bounds on the Gau...
Daniel M. Kane
JSYML
2007
68views more  JSYML 2007»
15 years 1 months ago
Bounding nonsplitting enumeration degrees
We show that every nonzero Σ0 2 enumeration degree bounds a nonsplitting nonzero enumeration degree.
Thomas F. Kent, Andrea Sorbi
CC
2010
Springer
112views System Software» more  CC 2010»
14 years 7 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
FOCS
2003
IEEE
15 years 6 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis