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Consider the collection of all binary matrices having a specific sequence ofrow and column sums and consider sampling binary matrices uniformly from thiscollection. Practical algorithms for exact uniform sampling are not known, butthere are practical algorithms for approximate uniform sampling. Here it isshown how dynamic programming and recent asymptotic enumeration results can beused to simplify and improve a certain class of approximate uniform samplers.The dynamic programming perspective suggests interesting generalizations.

A Dynamic Programming Approach for Approximate Uniform Generation of Binary Matrices with Specified Margins