Adaptive projected subgradient method and its acceleration techniques

Isao Yamada, Nobuhiko Ogura, Masahiro Yukawa

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


In this paper, we introduce the adaptive projected subgradient method (APSM) that can minimize asymptotically certain sequence of nonnegative unsmooth convex functions over a closed convex set in a real Hilbert space. The main theorem of the method unifies a wide range of set theoretic adaptive filtering schemes, e.g., N L M S, Projected N L M S, Constrained N L M S, APA and Adaptive parallel outer projection algorithm etc., for possibly nonstationary random processes. We also briefly present a pair of acceleration techniques that can improve efficiently the performance of adaptive parallel outer projection algorithm. These include the ideas using optimal supporting hyperplane of the stochastic property set as well as Pairwise Optimal WEight Realization (POWER) of parallel projection. The numerical examples show that the proposed adaptive filtering scheme realizes dramatically fast and stable convergence for highly coloured excited speech like input signals in severely noisy situations.

Original languageEnglish
Pages (from-to)639-644
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number12
Publication statusPublished - 2004
Externally publishedYes
Event2004 IFAC Workshop on Adaptation and Learning in Control and Signal Processing, ALCOSP 2004 and IFAC Workshop on Periodic Control Systems, PSYCO 2004 - Yokohama, Japan
Duration: 2004 Aug 302004 Sept 1


  • Adaptive projected subgradient method (APSM)
  • Adaptive signal processing
  • Asymptotic minimization of sequence of convex functions
  • Optimal supporting hyperplane
  • Pairwise optimal weight realization (POWER).

ASJC Scopus subject areas

  • Control and Systems Engineering


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