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ECCC
2008
93views more  ECCC 2008»
13 years 4 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya
ECCC
2008
168views more  ECCC 2008»
13 years 5 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
ECCC
2008
186views more  ECCC 2008»
13 years 5 months ago
Universal Semantic Communication II: A Theory of Goal-Oriented Communication
We continue the investigation of the task of meaningful communication among intelligent entities (players, agents) without any prior common language. Our generic thesis is that su...
Brendan Juba, Madhu Sudan
ECCC
2010
122views more  ECCC 2010»
13 years 3 months ago
Query Complexity Lower Bounds for Reconstruction of Codes
We investigate the problem of local reconstruction, as defined by Saks and Seshadhri (2008), in the context of error correcting codes. The first problem we address is that of me...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 7 days ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena