A new approach of matrix factorization on complex domain for data representation

Viet Hang Duong, Manh Quan Bui, Jian Jiun Ding, Yuan Shan Lee, Bach Tung Pham, Pham The Bao, Jia Ching Wang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This work presents a new approach which derives a learned data representation method through matrix factorization on the complex domain. In particular, we introduce an encoding matrix-a new representation of data-that satisfies the simplicial constraint of the projective basis matrix on the field of complex numbers. A complex optimization framework is provided. It employs the gradient descent method and computes the derivative of the cost function based on Wirtinger’s calculus.

Original languageEnglish
Pages (from-to)3059-3063
Number of pages5
JournalIEICE Transactions on Information and Systems
VolumeE100D
Issue number12
DOIs
StatePublished - Dec 2017

Keywords

  • Complex matrix factorization
  • Data representation
  • Gradient descent method
  • Image clustering

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