Dataset for: Synthetic Lagrangian Turbulence by Generative Diffusion Models

This dataset forms the basis of our research paper "Synthetic Lagrangian Turbulence by Generative Diffusion Models" published in Nature Machine Intelligence. It is available for download from the open-access Smart-TURB portal: http://smart-turb.roma2.infn.it, in the TURB-Lagr repository (DOI: 10.48550/arXiv.2303.08662). Instructions on how to read the dataset can be found in the code repository at https://github.com/SmartTURB/diffusion-lagr.

The files "Lagr_u1c_diffusion.h5" and "Lagr_u3c_diffusion.h5" are the datasets used to train the DM-1c and DM-3c models respectively. Correspondingly, "Lagr_u1c_diffusion-demo.h5" and "Lagr_u3c_diffusion-demo.h5" serve as their minimum datasets for testing the code. The files "samples_358400x2000x1_DM-1c.npz" and "samples_358400x2000x3_DM-3c.npz" are generated outputs from the DM-1c and DM-3c models. They support all the analyses presented in the paper.

本数据集为发表于《自然·机器智能》（Nature Machine Intelligence）的研究论文《基于生成式扩散模型（Generative Diffusion Models）的合成拉格朗日湍流（Lagrangian Turbulence）》的研究基础。本数据集可通过开放获取的Smart-TURB门户网站（http://smart-turb.roma2.infn.it）的TURB-Lagr仓库获取，其DOI为10.48550/arXiv.2303.08662。数据集读取方法可在代码仓库https://github.com/SmartTURB/diffusion-lagr中查阅。

文件"Lagr_u1c_diffusion.h5"与"Lagr_u3c_diffusion.h5"分别为训练DM-1c和DM-3c模型所用的数据集。相应地，"Lagr_u1c_diffusion-demo.h5"与"Lagr_u3c_diffusion-demo.h5"为二者的精简测试数据集，用于代码功能验证。文件"samples_358400x2000x1_DM-1c.npz"与"samples_358400x2000x3_DM-3c.npz"为DM-1c和DM-3c模型生成的输出结果，可支撑论文中呈现的全部分析工作。