Application of Mutual Information Methods in Time-Distance Helioseismology
Autor: | Keys, Dustin, Kholikov, Shukur, Pevtsov, Alexei |
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Rok vydání: | 2015 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/s11207-015-0650-y |
Popis: | 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 provide a brief description of the MI-based technique and discuss the results of the application of MI to derive the solar differential rotation profile, a travel-time deviation map for a sunspot and a time-distance diagram from quiet Sun measurements. Comment: 14 pages, 5 figures, accepted for publication in Solar Physics |
Databáze: | arXiv |
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