English

A Very Effective and Simple Diffusion Reconstruction for the Diluted Ising Model

Disordered Systems and Neural Networks 2025-02-12 v2

Abstract

Diffusion-based generative models are machine learning models that use diffusion processes to learn the probability distribution of high-dimensional data. In recent years, they have become extremely successful in generating multimedia content. However, it is still unknown if such models can be used to generate high-quality datasets of physical models. In this work, we use a Landau-Ginzburg-like diffusion model to infer the distribution of a 2D2D bond-diluted Ising model. Our approach is simple and effective, and we show that the generated samples reproduce correctly the statistical and critical properties of the physical model.

Keywords

Cite

@article{arxiv.2407.07266,
  title  = {A Very Effective and Simple Diffusion Reconstruction for the Diluted Ising Model},
  author = {Stefano Bae and Enzo Marinari and Federico Ricci-Tersenghi},
  journal= {arXiv preprint arXiv:2407.07266},
  year   = {2025}
}
R2 v1 2026-06-28T17:35:02.255Z