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» An approximation algorithm for counting contingency tables
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CSE
2008
IEEE
13 years 11 months ago
Sampling Binary Contingency Tables
We study the problem of counting and randomly sampling binary contingency tables. For given row and column sums, we are interested in approximately counting (or sampling) 0/1 n
Ivona Bezáková
RSA
2010
104views more  RSA 2010»
13 years 9 months ago
An approximation algorithm for counting contingency tables
Abstract. We present a randomized approximation algorithm for counting contingency tables, m × n non-negative integer matrices with given row sums R = (r1, . . . , rm) and column ...
Alexander I. Barvinok, Zur Luria, Alex Samorodnits...
STOC
2005
ACM
167views Algorithms» more  STOC 2005»
14 years 11 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
STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 11 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
COCOON
2009
Springer
14 years 5 months ago
On the Diaconis-Gangolli Markov Chain for Sampling Contingency Tables with Cell-Bounded Entries
The problems of uniformly sampling and approximately counting contingency tables have been widely studied, but efficient solutions are only known in special cases. One appealing ap...
Ivona Bezáková, Nayantara Bhatnagar,...