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COCO
2008
Springer
93views Algorithms» more  COCO 2008»
13 years 6 months ago
Learning Complexity vs. Communication Complexity
Nati Linial, Adi Shraibman
COCO
2008
Springer
72views Algorithms» more  COCO 2008»
13 years 6 months ago
The Sum of d Small-Bias Generators Fools Polynomials of Degree d
We prove that the sum of d small-bias generators L : Fs Fn fools degree-d polynomials in n variables over a field F, for any fixed degree d and field F, including F = F2 = {0, 1}...
Emanuele Viola
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 6 months ago
Lower Bounds and Separations for Constant Depth Multilinear Circuits
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
Ran Raz, Amir Yehudayoff
COCO
2008
Springer
108views Algorithms» more  COCO 2008»
13 years 6 months ago
Exponential Separation of Quantum and Classical Non-interactive Multi-party Communication Complexity
We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing setti...
Dmitry Gavinsky, Pavel Pudlák
COCO
2008
Springer
79views Algorithms» more  COCO 2008»
13 years 6 months ago
Towards Dimension Expanders over Finite Fields
In this paper we study the problem of explicitly constructing a dimension expander raised by [BISW04]: Let Fn be the n dimensional linear space over the field F. Find a small (ide...
Zeev Dvir, Amir Shpilka
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 6 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek
COCO
2008
Springer
95views Algorithms» more  COCO 2008»
13 years 6 months ago
Hardness Amplification within NP against Deterministic Algorithms
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant
Parikshit Gopalan, Venkatesan Guruswami
COCO
2008
Springer
79views Algorithms» more  COCO 2008»
13 years 6 months ago
Randomised Individual Communication Complexity
Harry Buhrman, Michal Koucký, Nikolai K. Ve...