A brief history of the subspace methods

  • Authors:
  • Hitoshi Sakano

  • Affiliations:
  • NTT Communication Science Lab., "Keihanna Science City", Kyoto, Japan

  • Venue:
  • ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
  • Year:
  • 2010

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Abstract

I hope to start from one question. "Is the eigenface[1] a subspace method?" Answer is weakly YES and strongly NO. In wide meaning in Subspace method of pattern recognition is that uses subspace. In this meaning the answer is YES. However in narrow meaning the term "Subspace method" means pattern recognition techniques that represent class featuring information with subspace of original feature space[2]. The eigenface subspace represent common feature of trained faces, that is differ from class information. Thus in this meaning the answer is NO. For understanding the term of "Subspace method", we shall trace back to a Subspace method root. In this article I try to clarify the meaning of Subspace method through the historical study. To this goal we trace histories of Subspace methods from their birth at 1960s to 21c. We studied the history both side of theory and applications, because sometimes new theory is inspired by new application and new theory extend applicability of Subspace methods.