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arXiv · 2601.09508

Oracle-free Boltzmann Sampling for Powersets

Jean Peyen
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Abstract

We propose an approach for sampling powersets under the Boltzmann distribution in an oracle-free way, i.e. without numerically evaluating the associated generating function. Our approach relies on a Poissonised infinite occupancy model and thinning. It yields an explicit sampler for bounded counting sequences and extends under mild growth conditions. We implement the sampler and find runtimes comparable to existing Boltzmann samplers.

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Jean Peyen. 2026-09-08. Oracle-free Boltzmann Sampling for Powersets. https://arxiv.org/abs/2601.09508

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