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STACS
2009
Springer
14 years 2 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
FOCS
2007
IEEE
13 years 11 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
IANDC
2006
102views more  IANDC 2006»
13 years 7 months ago
Polynomial certificates for propositional classes
This paper studies the complexity of learning classes of expressions in propositional logic from equivalence queries and membership queries. In particular, we focus on bounding th...
Marta Arias, Aaron Feigelson, Roni Khardon, Rocco ...
MP
2008
135views more  MP 2008»
13 years 7 months ago
A path to the Arrow-Debreu competitive market equilibrium
: We present polynomial-time interior-point algorithms for solving the Fisher and Arrow-Debreu competitive market equilibrium problems with linear utilities and n players. Both of ...
Yinyu Ye
FOCS
2010
IEEE
13 years 5 months ago
Black-Box Randomized Reductions in Algorithmic Mechanism Design
We give the first black-box reduction from arbitrary approximation algorithms to truthful approximation mechanisms for a non-trivial class of multiparameter problems. Specifically,...
Shaddin Dughmi, Tim Roughgarden