Application of Mutual Information Methods in Time–Distance Helioseismology

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• 作者：Dustin Keys ; Shukur Kholikov ; Alexei A. Pevtsov
• 关键词：Helioseismology ; observations ; Helioseismology ; theory ; Velocity fields ; interior
• 刊名：Solar Physics
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：290
• 期：3
• 页码：659-671
• 全文大小：1,069 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Extraterrestrial Physics and Space Sciences
  Astrophysics
  
• 出版者：Springer Netherlands
• ISSN：1573-093X

文摘

We apply a new technique, the mutual information (MI) from information theory, to time–distance helioseismology, and demonstrate that it can successfully reproduce several classic results based on the widely used cross-covariance method. MI quantifies the deviation of two random variables from complete independence and represents a more general method for detecting dependencies in time series than the cross-covariance function, which only detects linear relationships. We briefly describe the MI-based technique and discuss the results of applying MI to derive the solar differential profile, a travel-time deviation map for a sunspot, and a time–distance diagram from quiet-Sun measurements.