Solution of a Bivariate l(1) Regularized Problem

Bayram I.

IEEE SIGNAL PROCESSING LETTERS, cilt.23, sa.5, ss.653-657, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1109/lsp.2016.2544949
  • Dergi Adı: IEEE SIGNAL PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.653-657
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

We derive the mapping that takes an observation vector to the minimizer of a bivariate cost consisting of the sum of a quadratic data fidelity term and an l(1) norm. The derived mapping is useful for accelerating convergence of iterative algorithms that aim to solve l(1) regularized problems. We discuss how to use the mapping in practice and demonstrate the improvement in convergence rate with numerical experiments.