Non-negative matrix factorization with mixture of Itakura-Saito divergence for SAR images

Chi Liu, Wenzhi Liao, Heng-Chao Li, Wilfried Philips

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Synthetic aperture radar (SAR) data are becoming more and more accessible and have been widely used in many applications. To effectively and efficiently represent multiple SAR images, we propose the mixture of Itakura-Saito (IS) divergence for non-negative matrix factorization (NMF) to perform the dimension reduction. Our proposed method incorporates the unit-mean Gamma mixture model into the NMF to model the multiplicative noise. To obtain the closed-form update equations as much as possible, we approximate the log-likelihood function with its lower bound. Finally, we apply Expectation-Maximization (EM) algorithm to estimate the parameters, resulting in the closed-form multiplicative update rules for the two matrix factors. Experimental results on real SAR dataset demonstrate the effectiveness of the proposed method and its applicability to post applications (e.g., classification) with improved performances over the conventional dimension reduction methods.
Original languageEnglish
Number of pages4
Publication statusPublished - 4 Dec 2017
Event(2017) IEEE International Symposium on Geoscience and Remote Sensing IGARSS. - Fort Worth, United States
Duration: 23 Jul 201728 Jul 2017


Conference(2017) IEEE International Symposium on Geoscience and Remote Sensing IGARSS.
Abbreviated titleIGARSS 2017
Country/TerritoryUnited States
CityFort Worth


  • non-negative matrix factorization (NMF)
  • synthetic aperture radar (SAR)
  • dimension reduction
  • Itakura-Saito divergence
  • mixture model

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