Enumerating Contingency Tables via Random Permanents
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Publication:5448988
DOI10.1017/S0963548307008668zbMath1132.62045arXivmath/0511596MaRDI QIDQ5448988
Publication date: 10 March 2008
Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511596
Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Random matrices (algebraic aspects) (15B52) Contingency tables (62H17)
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Cites Work
- The Van der Waerden conjecture for mixed discriminants
- The solution of van der Waerden's problem for permanents
- Log-Sobolev inequalities and sampling from log-concave distributions
- A deterministic algorithm for approximating the mixed discriminant and mixed volume, and a combinatorial corollary
- Counting integer flows in networks
- Algebraic algorithms for sampling from conditional distributions
- On the complexity of nonnegative-matrix scaling
- On complexity of matrix scaling
- On matrices with doubly stochastic pattern
- A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
- Approximately counting integral flows and cell-bounded contingency tables
- New permanental upper bounds for nonnegative matrices
- Improved bounds for sampling contingency tables
- A polynomial-time algorithm to approximately count contingency tables when the number of rows is constant
- A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents