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» On the relative complexity of approximate counting problems
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PODS
2012
ACM
276views Database» more  PODS 2012»
11 years 8 months ago
Randomized algorithms for tracking distributed count, frequencies, and ranks
We show that randomization can lead to significant improvements for a few fundamental problems in distributed tracking. Our basis is the count-tracking problem, where there are k...
Zengfeng Huang, Ke Yi, Qin Zhang
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 11 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 6 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
STOC
2005
ACM
167views Algorithms» more  STOC 2005»
14 years 6 months ago
Approximately counting integral flows and cell-bounded contingency tables
We consider the problem of approximately counting integral flows in a network. We show that there is an fpras based on volume estimation if all capacities are sufficiently large, ...
Mary Cryan, Martin E. Dyer, Dana Randall
CP
2009
Springer
14 years 6 months ago
Exploiting Problem Structure for Solution Counting
This paper deals with the challenging problem of counting the number of solutions of a CSP, denoted #CSP. Recent progress have been made using search methods, such as BTD [15], whi...
Aurélie Favier, Philippe Jégou, Simo...