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COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 9 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
ICALP
2003
Springer
14 years 29 days ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
ECCC
2008
168views more  ECCC 2008»
13 years 7 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
COCO
2009
Springer
126views Algorithms» more  COCO 2009»
14 years 2 months ago
New Results in the Simultaneous Message Passing Model via Information Theoretic Techniques
—Consider the following Simultaneous Message Passing (SMP) model for computing a relation f ⊆ X ×Y ×Z. In this model Alice, on input x ∈ X and Bob, on input y ∈ Y, send o...
Rahul Jain, Hartmut Klauck
CORR
2008
Springer
139views Education» more  CORR 2008»
13 years 7 months ago
Exact two-terminal reliability of some directed networks
Abstract-- The calculation of network reliability in a probabilistic context has long been an issue of practical and academic importance. Conventional approaches (determination of ...
Christian Tanguy