A reusable enumerate-or-sample framework turns recursion-tree upper bounds into O*(sqrt(b))-time approximate counters, improving bases for five counting problems.
Random walks in a convex body and an improved volume algorithm.Random structures & algorithms, 4(4):359–412, 1993
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Faster Exponential-Time Approximate Counting via Bounded Self-Reductions
A reusable enumerate-or-sample framework turns recursion-tree upper bounds into O*(sqrt(b))-time approximate counters, improving bases for five counting problems.