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Paper · arXiv

Sampling two-dimensional spin systems with transformers

Autoregressive Neural Networks based on dense or convolutional layers have recently been shown to be a viable strategy for generating classical spin systems. Unlike these methods, sampling with transformers is commonly considered to be computationally inefficient. In this work, we propose a novel approach to transformer-based neural samplers in which we generate not a single spin per step but groups of spins. As an additional improvement, we construct a model of approximated probabilities, further improving the efficiency of the algorithm. Despite our approach being computationally heavier than dense networks or CNN-based approaches, we were able to sample larger systems of up to $180 \ti...

AuthorsPiotr Białas, Piotr Korcyl, Tomasz Stebel et al.
Primary categorycond-mat.dis-nn
Published30 April 2026
Last updated at source30 April 2026
cond-mat.dis-nncond-mat.stat-mechcs.LGhep-lat
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