DYNAMIC MDS METHODS FOR THREE-WAY ASYMMETRIC DISSIMILARITY DATA

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概要

• 論文の詳細を見る

• Two methods for analyzing three-way asymmetric (dis)similarity data are proposed. In both methods, asymmetry found in data is represented as a set of vectors, which is determined from the skew-symmetric parts in the matrices for visualizing the latent structure of the asymmetry. In the first method, an asymmetric matrix called "super asymmetric (dis)similarity matrix" is first composed from the given set of data matrices. Making the analysis proposed here of that matrix yields the estimated moving paths of the objects as well as the chronological changes of asymmetric vectors expressing the stress brought by the forced allocation of the points. In the second method, Procrustes transformation is used for analysis and the objects and the asymmetric vectors are represented together in each separate space. Graphical representation of the result in a definite time-space by smooth spline interpolation of trajectories is discussed with some numerical illustrations.

• 日本計算機統計学会の論文

著者

• Niki Naoto

  Science University Of Tokyo

• Yadohisa H

  Kagoshima University

• Yadohisa Hiroshi

  Kagoshima University

• Hashiguchi Hiroki

  Science University of Tokyo

関連論文

• DYNAMIC MDS METHODS FOR THREE-WAY ASYMMETRIC DISSIMILARITY DATA
• VECTOR REPRESENTATION OF ASYMMETRY IN MULTIDIMENSIONAL SCALING
• ALGEBRAIC ALGORITHM FOR CALCULATING COEFFICIENTS OF ZONAL POLYNOMIALS OF ORDER THREE

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