A reusable enumerate-or-sample framework turns recursion-tree upper bounds into O*(sqrt(b))-time approximate counters, improving bases for five counting problems.
Spatial mixing and the connective constant: Optimal bounds.Probability Theory and Related Fields, 168(1): 153–197, 2017
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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.