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Multidimensional Feature Explorer for Unbalanced Spatiotemporal Data

机译:时空数据不平衡的多维特征浏览器

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Feature analysis of weak nonlinear signals from geographic spatiotemporal data has received increasing attention. Most existing signal processing methods cannot effectively perform comprehensive feature analysis because of the multiple dimensions and unbalance of spatiotemporal data. We developed a divide–aggregate–explore method for the feature analysis of spatiotemporal data. In our method, strategies for dividing different dimensions are defined for multidimensional analysis, and the tensor–block structure is adopted to reorganize the original data and distinguish differences in dimensions. Then, information‐based data aggregation is used to weaken the impact of dimensional unbalance. Case studies based on climatic reanalysis field data released by the National Oceanic and Atmospheric Administration showed that the proposed method can effectively extract weak propagation signals such as the El Ni?o–Southern Oscillation and El Ni?o–Southern Oscillation Modoki. Our method can also reveal more detailed evolutionary characteristics of complex coupling systems in different dimensions compared with classical feature detection methods such as principal component analysis and tensor decomposition. Plain Language Summary The accurate extraction and pattern analysis of nonlinear, weak, and quasiperiodic signals from geographic spatiotemporal data is an important research direction. However, since most geographic data often has strong spatial heterogeneity, existing signal processing methods cannot effectively perform comprehensive feature analysis owing to the multiple and unbalance of dimensions. This paper introduces the information‐based data aggregation to weaken the impact of dimensional unbalance and uses tensor analysis to conduct the multidimensional analysis. The experiment results verify the correctness and the advantages of our idea. We hope that our approach will provide you with an alternative method that deserves further study.
机译:来自地理时空数据的微弱非线性信号的特征分析已受到越来越多的关注。由于多维数据和时空数据的不平衡,大多数现有的信号处理方法无法有效地执行全面的特征分析。我们为时空数据的特征分析开发了一种划分-汇总-探索方法。在我们的方法中,为多维分析定义了划分不同维度的策略,并采用张量-块结构重新组织原始数据并区分维度差异。然后,基于信息的数据聚合被用于减弱维数不平衡的影响。根据美国国家海洋和大气管理局发布的气候再分析现场数据进行的案例研究表明,该方法可以有效地提取弱传播信号,例如厄尔尼诺-南方涛动和厄尔尼诺-南方涛动Modoki。与经典特征检测方法(例如主成分分析和张量分解)相比,我们的方法还可以揭示不同维度的复杂耦合系统的更详细的演化特征。朴素的语言摘要从地理时空数据中准确提取和分析非线性,弱和准周期信号是重要的研究方向。然而,由于大多数地理数据通常具有很强的空间异质性,由于尺寸的多重性和不平衡性,现有的信号处理方法无法有效地执行综合特征分析。本文介绍了基于信息的数据聚合以减弱维数不平衡的影响,并使用张量分析进行多维分析。实验结果验证了我们思路的正确性和优势。我们希望我们的方法将为您提供一种值得进一步研究的替代方法。

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