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arXiv 2601.01596cs.DCastro-ph.IM
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FFCz: 快速傅里叶校正用于科学数据的频谱保持压缩

FFCz: Fast Fourier Correction for Spectrum-Preserving Lossy Compression of Scientific Data

The Ohio State University(俄亥俄州立大学);Argonne National Laboratory(阿贡国家实验室);Lawrence Berkeley National Laboratory(劳伦斯伯克利国家实验室)

Congrong Ren, Robert Underwood, Sheng Di, Emrecan Kutay, Zarija Lukic, Aylin Yener, Franck Cappello, Hanqi Guo

AI总结:

FFCz通过快速傅里叶校正算法,在科学数据压缩中同时保留空间和频率域的特征,提升压缩效率与科学信息保真度。

摘要:

本文介绍了一种新颖的技术,以基于新颖的快速傅里叶校正算法的损失性压缩中保留频谱特征。在天文学、湍流燃烧和X射线衍射等应用中,保留空间和频率表示至关重要,因为空间和频率视角提供互补的科学见解。特别是,许多分析任务依赖于频率域表示来捕捉关键特征,包括宇宙模拟的功率谱、燃烧中的湍流能量谱以及在倒易空间中用于ptychography的衍射图案。然而,现有压缩方法只能保证空间域的准确性,而忽略频率域。为了解决这一限制,我们提出了一种算法,通过校正由现成的"基础"压缩器(如SZ3、ZFP和SPERR)产生的误差,从而通过在两个域中限制误差来保留空间和频率表示。通过将频率域误差表示为空间域误差的线性组合,我们推导出一个联合限制两个域误差的区域。给定基础压缩器的空间误差和用户定义的空间和频率域误差限制,我们迭代地将空间误差向量投影到由空间和频率约束定义的区域中,直到它位于它们的交集中。我们进一步利用GPU并行计算来加速算法,以实现实际性能。我们使用来自宇宙模拟、X射线衍射、燃烧模拟和脑电图的数据集验证了我们的方法,证明了其在空间和频率域中保留关键科学信息的有效性。

英文摘要:

This paper introduces a novel technique to preserve spectral features in lossy compression based on a novel fast Fourier correction algorithm\added{ for regular-grid data}. Preserving both spatial and frequency representations of data is crucial for applications such as cosmology, turbulent combustion, and X-ray diffraction, where spatial and frequency views provide complementary scientific insights. In particular, many analysis tasks rely on frequency-domain representations to capture key features, including the power spectrum of cosmology simulations, the turbulent energy spectrum in combustion, and diffraction patterns in reciprocal space for ptychography. However, existing compression methods guarantee accuracy only in the spatial domain while disregarding the frequency domain. To address this limitation, we propose an algorithm that corrects the errors produced by off-the-shelf ``base'' compressors such as SZ3, ZFP, and SPERR, thereby preserving both spatial and frequency representations by bounding errors in both domains. By expressing frequency-domain errors as linear combinations of spatial-domain errors, we derive a region that jointly bounds errors in both domains. Given as input the spatial errors from a base compressor and user-defined error bounds in the spatial and frequency domains, we iteratively project the spatial error vector onto the regions defined by the spatial and frequency constraints until it lies within their intersection. We further accelerate the algorithm using GPU parallelism to achieve practical performance. We validate our approach with datasets from cosmology simulations, X-ray diffraction, combustion simulation, and electroencephalography demonstrating its effectiveness in preserving critical scientific information in both spatial and frequency domains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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