Orthonormality-constrained INDSCAL with nonnegative saliences

Trendafilov, Nickolay (2004). Orthonormality-constrained INDSCAL with nonnegative saliences. In: Computational Science and Its Applications - ICCSA 2004 (Lagan'a, Antonio; Gavrilova, Marina L.; Kumer, Vipin; Mun, Youngsong; Kenneth Tan, C. J. and Gervasi, Osvaldo eds.), Lecture Notes in Computer Science, Springer, Berlin, Germany, pp. 952–960.

DOI: https://doi.org/10.1007/978-3-540-24709-8_100

Abstract

INDSCAL is a specific model for simultaneous metric multidimensional scaling (MDS) of several data matrices. In the present work the INDSCAL problem is reformulated and studied as a dynamical system on the product manifold of orthonormal and diagonal matrices. The problem for fitting of the INDSCAL model to the data is solved. The resulting algorithms are globally convergent. Numerical examples illustrate their application.

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• Item ORO ID
• 28341
• Item Type
• Conference or Workshop Item
• ISBN
• 3-540-22056-9, 978-3-540-22056-5
• Extra Information
• International Conference, Assisi, Italy, May 14-17, 2004, Proceedings, Part II
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2004 Springer-Verlag
• Depositing User
• Sarah Frain