VECTOR REPRESENTATION OF ASYMMETRY IN MULTIDIMENSIONAL SCALING

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概要

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• A vector model for representing asymmetry in multidimensional scaling is proposed. Given an asymmetric square matrix of (dis)similarity measures for all pairs of objects in the analysis, and assuming that the locations of objects have already been determined from the symmetric component of the data through some suitable multidimensional scaling model, a set of vectors which represents the latent structure of asymmetry in the data matrix is then determined from the remaining skew-symmetric part of the matrix by the model here in proposed. The discussion is extended to the asymmetric structure of the data, giving indices of several types of asymmetry. A real-data application of the vector model is also described.

• 日本計算機統計学会の論文

著者

• Niki Naoto

  Science University Of Tokyo

• Yadohisa Hiroshi

  Kagoshima University

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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