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» Communication Lower Bounds Using Dual Polynomials
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TCC
2005
Springer
77views Cryptology» more  TCC 2005»
14 years 2 months ago
Upper and Lower Bounds on Black-Box Steganography
We study the limitations of steganography when the sender is not using any properties of the underlying channel beyond its entropy and the ability to sample from it. On the negati...
Nenad Dedic, Gene Itkis, Leonid Reyzin, Scott Russ...
CIE
2010
Springer
14 years 1 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
JCT
2008
100views more  JCT 2008»
13 years 8 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
13 years 10 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
FOCM
2010
91views more  FOCM 2010»
13 years 7 months ago
On the Ranks and Border Ranks of Symmetric Tensors
Motivated by questions arising in signal processing, computational complexity, and other areas, we study the ranks and border ranks of symmetric tensors using geometric methods. We...
J. M. Landsberg, Zach Teitler