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: We give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean funct...

Homin K. Lee

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32

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2010

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Routing Without Regret: On Convergence to Nash Equilibria of Regret-Minimizing Algorithms in Routing Games

13 years 3 months ago

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Avrim Blum, Eyal Even-Dar, Katrina Ligett

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26

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2010

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Quantum Expanders: Motivation and Construction

13 years 3 months ago

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: We define quantum expanders in a natural way and give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...

Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma

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37

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2010

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The Submodular Welfare Problem with Demand Queries

13 years 3 months ago

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: We consider the Submodular Welfare Problem where we have m items and n players with given utility functions wi : 2[m] R+. The utility functions are assumed to be monotone and su...

Uriel Feige, Jan Vondrák

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41

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2010

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A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search

13 years 3 months ago

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Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...

Andris Ambainis

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