Chino, N. (2002) Complex Difference System Models for the Analysis of Asymmetry. In: Yanai, H., Okada, A., Shigemasu, K., Kano, Y. and Meulman, J.J., Eds., New Developments in Psychometrics, Springer, Tokyo, 479-486.

has been cited by the following article:

• TITLE: Hermitian Symmetry on a Hilbert Space—Its Applications to Some Asymmetric Phenomena

  AUTHORS: Naohito Chino

  KEYWORDS: Hermitian Symmetry, Hilbert Space, Asymmetric Similarity, Asymmetric MDS

  JOURNAL NAME: Natural Science, Vol.12 No.5, April 29, 2020

  ABSTRACT: The purpose of this paper is threefold. One is to revisit the Hermitian form model (HFM) with Hermitian symmetry proposed by Chino and Shiraiwa (1993), which uncovers the latent Hilbert space structure or the indefinite metric space structure, given the asymmetric similarity matrix (ASM) among objects, and another is to explain how to interpret the configuration of objects embedded in these spaces. The final goal of this paper is to show what kinds of information are obtained by applying HFM to empirical and hypothetical ASMs. Results of applications of HFM to two empirical ASMs suggest that some possible asymmetric structures among objects exist, which might not have been found empirically. The result of application of the HFM to a hypothetical ASM uncovers interesting latent space structures among objects.