arXiv Machine Learning By Lu Zhong, Wenli Duan, Jing Liu, Pan Zhang, Ying Tang

Scalable Physics-Inspired Transformers for Spin Glasses

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arXiv:2606. 22984v2 Announce Type: replace-cross Abstract: Efficient sampling of the Boltzmann distribution in frustrated spin glasses is central to statistical mechanics and combinatorial optimization.

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arXiv Machine Learning
Sep 16

Training Energy-Based Models with Non-MCMC Samplers and Efficient Temperature Estimation

The paper introduces Langevin simulated bifurcation (LSB), a fast, parallel Boltzmann sampler that matches the accuracy of sequential MCMC methods. It also proposes conditional expectation matching (CEM), an efficient technique for estimating the effective temperature of samples from energy‑based models with conditional independence. Building on these, the authors develop sampler adaptive learning (SAL), which adjusts the model temperature to align with the distribution produced by LSB, enabling efficient training of semi‑restricted Boltzmann machines (SRBMs) and outperforming conventional methods on synthetic spin‑glass datasets.

By Kentaro Kubo, Hayato Goto