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Author

Ondřej Kuželka

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Preprint Aug 2026

Unary Functions, Automorphisms, and Unlabeled First-Order Model Counting

It is proved that, for every fixed sentence $\varphi\in\mathrm{C}^1_{=}[f]$, with one unary function and an arbitrary finite relational vocabulary, $\mathrm{FOMC}(\varphi,n)$ is computable in time polynomial in $n$.

Ondřej Kuželka · 0 citations
Jul 2026

Parallel Noising in Neural Markov Logic Networks

A new training and inference algorithm inspired by parallel-tempering Markov chain Monte Carlo methods is developed, which is named parallel noising and allows NMLNs to match the performance of specialized text-based recurrent models when generating small molecular structures.

Peter Jung, Giuseppe Marra, Ondřej Kuželka · 0 citations

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