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» Pseudorandomness for Approximate Counting and Sampling
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COMPGEOM
2004
ACM
13 years 10 months ago
Deterministic sampling and range counting in geometric data streams
We present memory-efficient deterministic algorithms for constructing -nets and -approximations of streams of geometric data. Unlike probabilistic approaches, these deterministic...
Amitabha Bagchi, Amitabh Chaudhary, David Eppstein...
FOCS
2007
IEEE
13 years 11 months ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda
CORR
2012
Springer
230views Education» more  CORR 2012»
12 years 26 days ago
Fast Triangle Counting through Wedge Sampling
Graphs and networks are used to model interactions in a variety of contexts, and there is a growing need to be able to quickly assess the qualities of a graph in order to understa...
C. Seshadhri, Ali Pinar, Tamara G. Kolda
STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 5 months ago
Approximate counting by dynamic programming
We give efficient algorithms to sample uniformly, and count approximately, the solutions to a zero-one knapsack problem. The algorithm is based on using dynamic programming to pro...
Martin E. Dyer