Handling Asymmetry of Relational Data from a Viewpoint of Classical Multidimensional Scaling

• Kumagai Atsuya

  College of Commerce, Nihon University

Bibliographic Information

Other Title

• 古典的多次元尺度構成法の視点からの関連性データの非対称性への対処
• コテンテキ タジゲン シャクド コウセイホウ ノ シテン カラ ノ カンレンセイ データ ノ ヒタイショウセイ エ ノ タイショ

Abstract

A method is proposed, which analyzes and represents anti-symmetric part of asymmetric relational data, dealing simultaneously with symmetric part as distance by the classical MDS. The similarity to the author's previous formulation is mentioned and the difference is clarified. Furthermore, it is shown that the data can be represented by complex vectors when relational data is given as complex numbers and that the data can be transformed to inner product-like relational data as analyzed in former researches when it is given as distance-like relational data.

Journal

• Transactions of the Japan Society for Industrial and Applied Mathematics

  Transactions of the Japan Society for Industrial and Applied Mathematics 21 (2), 165-174, 2011

  The Japan Society for Industrial and Applied Mathematics

Details

• CRID: 1390282680743993600
• NII Article ID: 110008673566
• NII Book ID: AN10367166
• ISSN: 09172246
• ISSN: 24240982
• DOI: 10.11540/jsiamt.21.2_165
• NDL BIB ID: 11171441
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I11171441
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
• Abstract License Flag: Disallowed