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» Quantum Algorithms for Element Distinctness
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STOC
2003
ACM
117views Algorithms» more  STOC 2003»
14 years 7 months ago
Distinct distances in three and higher dimensions
Improving an old result of Clarkson et al., we show that the number of distinct distances determined by a set P of n points in three-dimensional space is (n77/141) = (n0.546 ), fo...
Boris Aronov, János Pach, Micha Sharir, G&a...
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 7 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
FCT
2007
Springer
14 years 1 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
SWAT
1992
Springer
116views Algorithms» more  SWAT 1992»
13 years 11 months ago
Sorting Multisets Stably in Minimum Space
Abstract. In a decision tree model, (n log2 n m i=1 ni log2 ni + n) is known to be a lower bound for sorting a multiset of size n containing m distinct elements, where the ith dist...
Jyrki Katajainen, Tomi Pasanen
MCS
2009
Springer
14 years 2 months ago
Improved Uniformity Enforcement in Stochastic Discrimination
There are a variety of methods for inducing predictive systems from observed data. Many of these methods fall into the field of study of machine learning. Some of the most effec...
Matthew Prior, Terry Windeatt