Oracle-free Boltzmann Sampling for Powersets
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.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Markov Chains and Monte Carlo Methods
Probability and Statistical Research
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 14 January 2026
- Language
- EN
- Document type
- Preprint