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SODA
2000
ACM
132views Algorithms» more  SODA 2000»
15 years 3 months ago
Expected-case complexity of approximate nearest neighbor searching
Most research in algorithms for geometric query problems has focused on their worstcase performance. However, when information on the query distribution is available, the alternat...
Sunil Arya, Ho-Yam Addy Fu
117
Voted
VIS
2007
IEEE
120views Visualization» more  VIS 2007»
16 years 3 months ago
Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions
The Morse-Smale complex is an efficient representation of the gradient behavior of a scalar function, and critical points paired by the complex identify topological features and th...
Attila Gyulassy, Vijay Natarajan, Valerio Pascuc...
JCT
2006
69views more  JCT 2006»
15 years 2 months ago
The Bergman complex of a matroid and phylogenetic trees
We study the Bergman complex B(M) of a matroid M: a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural su...
Federico Ardila, Caroline J. Klivans
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
15 years 2 months ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
131
Voted
COLT
2007
Springer
15 years 8 months ago
Generalised Entropy and Asymptotic Complexities of Languages
Abstract. In this paper the concept of asymptotic complexity of languages is introduced. This concept formalises the notion of learnability in a particular environment and generali...
Yuri Kalnishkan, Vladimir Vovk, Michael V. Vyugin