K-SVD Meets Transform Learning: Transform K-SVD


Ekşioğlu E. M. , BAYIR O.

IEEE SIGNAL PROCESSING LETTERS, cilt.21, sa.3, ss.347-351, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Konu: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1109/lsp.2014.2303076
  • Dergi Adı: IEEE SIGNAL PROCESSING LETTERS
  • Sayfa Sayıları: ss.347-351

Özet

Recently there has been increasing attention directed towards the analysis sparsity models. Consequently, there is a quest for learning the operators which would enable analysis sparse representations for signals in hand. Analysis operator learning algorithms such as the Analysis K-SVD have been proposed. Sparsifying transform learning is a paradigm which is similar to the analysis operator learning, but they differ in some subtle points. In this paper, we propose a novel transform operator learning algorithm called as the Transform K-SVD, which brings the transform learning and the K-SVD based analysis dictionary learning approaches together. The proposed Transform K-SVD has the important advantage that the sparse coding step of the Analysis K-SVD gets replaced with the simple thresholding step of the transform learning framework. We show that the Transform K-SVD learns operators which are similar both in appearance and performance to the operators learned from the Analysis K-SVD, while its computational complexity stays much reduced compared to the Analysis K-SVD.