用3D扩散模型模拟宇宙21厘米辐射,提升精确度与可视化效果。
Three-dimensional Conditional Diffusion Models for Cosmological 21 cm Lightcone Emulation

- 采用条件扩散模型处理三维21厘米光锥数据,解决高维分布难题。
- 经验证,经过预处理与幅度压缩的模型在全局信号误差上最优。
- 适合研究宇宙大尺度结构和未来观测效应建模的学者参考。
本文研究用于三维21厘米光锥模拟的条件扩散模型,关注64×64天空平面与最大1024单元视线深度的立方体。相比早期二维研究,三维设置更具挑战性:内存限制导致极小微批大小,且体素分布高度偏斜、长尾分布。通过25,600个训练光锥及固定参数点的验证集进行受控对比,涵盖预处理方式、动态范围压缩、网络深度与训练时长。每个参考参数点包含800个21cmFAST独立初值实现,每模型与参考集各使用800样本进行集合比较。评估指标包括亮度温度切片、全局信号、功率谱与缩减散射系数,在图像与统计量空间中综合检验。结果显示,预处理是稳定训练与物理保真度的关键因素;其中Yeo-Johnson预处理结合适度幅度压缩表现最佳,尤其在全局信号的标准化平均绝对误差(MAE_std)排名中支持最强,其他诊断也具一致性。但生成样本在二阶及以上统计量中仍存可测偏差。因此,本工作为三维21厘米模拟提供仿真基准,并为未来引入更真实观测效应的研究奠定基础。
原文摘要 · Abstract (English)
We investigate conditional diffusion modeling for three-dimensional 21 cm lightcone emulation, focusing on cubes with a sky-plane size of $64\times64$ and a line-of-sight depth up to 1024 cells. Relative to earlier 2D studies, the 3D setting is substantially harder because memory limits enforce very small micro-batches while the underlying voxel distribution is highly skewed and long tailed. We perform controlled comparisons across preprocessing choices, dynamic-range compression settings, architecture depth, and training duration using $25{,}600$ training lightcones and validation ensembles at fixed parameter points. For validation, each reference parameter point contains 800 21cmFAST realizations with independent initial conditions, and we use 800 samples per model and per reference set for the reported ensemble comparisons. We evaluate generated lightcones with complementary diagnostics in both image and summary-statistic spaces: brightness-temperature slices, the global signal, the power spectrum, and reduced scattering coefficients. Across the tested configurations, preprocessing is the dominant factor governing stable training and the resulting physical fidelity. Among the configurations explored here, Yeo-Johnson preprocessing combined with moderate amplitude compression gives the most consistently favorable trade-off, with the strongest quantitative support coming from rankings based on the standard-deviation-normalized mean absolute error ($\mathrm{MAE}_{\rm std}$) of the global signal and qualitatively compatible behavior in the complementary diagnostics. At the same time, visually plausible 3D samples still retain measurable biases in two-point and higher-order statistics. We therefore view the present work as a simulation-level baseline for three-dimensional 21 cm emulation and for future studies that incorporate more realistic observational effects.
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