We describe an algorithm for the sequential sampling of entries in multiway contingency tables with given constraints. The algorithm can be used for computations in exact conditional inference. To justify the algorithm, a theory relates sampling values at each step to properties of the associated toric ideal using computational commutative algebra. In particular, the property of interval cell c...

We present a technique for converting RNC algorithms into NC algorithms. Our approach is based on a parallel implementation of the method of conditional probabilities. This method was used to convert probabilistic proofs of existence of combinatorial structures into polynomial time deterministic algorithms. It has the apparent drawback of being extremely sequential in nature. We show certain ge...

We present a time-optimal implementation for bulk execution of an oblivious sequential algorithm. Our second contribution is to develop a tool, named C2CU, which automatically generates a CUDA C program for a bulk execution of an oblivious sequential algorithm. C2CU: A CUDA C Program Generator for Bulk Execution