2015/01/31 by Dustin Keys, Shukur Kholikov, Alexei A. Pevtsov +1 · 1 citation
Physics and Astronomy · #Diagram #Differential (mechanical device) #Helioseismology #Independence (probability theory) #Mutual information #Pointwise mutual information #Random variable #Series (stratigraphy) #Solar and Space Plasma Dynamics #Statistical Mechanics and Entropy #Stellar, planetary, and galactic studies #astro-ph.SR
paper · pdf · doi:10.1007/s11207-015-0650-y
14 pages, 5 figures, accepted for publication in Solar Physics
openalex publication_date 2015/02/02 · arxiv created 2015/06/09 · arxiv updated 2015/06/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.