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» Quantum Lower Bounds by Polynomials
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FOCS
2004
IEEE
13 years 11 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev
SIGECOM
2008
ACM
155views ECommerce» more  SIGECOM 2008»
13 years 7 months ago
Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions
We provide tight information-theoretic lower bounds for the welfare maximization problem in combinatorial auctions. In this problem, the goal is to partition m items among k bidde...
Vahab S. Mirrokni, Michael Schapira, Jan Vondr&aac...
STOC
1997
ACM
91views Algorithms» more  STOC 1997»
13 years 11 months ago
Lower Bounds for Distributed Coin-Flipping and Randomized Consensus
We examine a class of collective coin- ipping games that arises from randomized distributed algorithms with halting failures. In these games, a sequence of local coin ips is gener...
James Aspnes
ECCC
2010
124views more  ECCC 2010»
13 years 7 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
FOCS
2003
IEEE
14 years 20 days ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis