A Novel Multidimensional Scaling Technique for Mapping Word-Of-Mouth Discussions

  • B. John Oommen
  • Ole-Christoffer Granmo
  • Zuoyuan Liang
Part of the Studies in Computational Intelligence book series (SCI, volume 214)


The techniques which utilize Multidimensional Scaling (MDS) as a fundamental statistical tool have been well developed since the late 1970’s. In this paper we show how anMDS scheme can be enhanced by incorporating into it a Stochastic Point Location (SPL) strategy (one which optimizes the former’s gradient descent learning phase) and a new Stress function. The enhanced method, referred to as MDS SPL, has been used in conjunction with a combination of the TF-IDF and Cosine Similarities on a very noisy Word-Of-Mouth (WoM) discussion set consisting of postings concerning mobile phones, yielding extremely satisfying results.


Mobile Phone Multidimensional Scaling Stress Function Cosine Similarity Multidimensional Space 
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  1. 1.
    Kruskal, J.B.: Nonmetric multidimensional scaling. Psychometrika 29, 1–27 (1964)zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Oommen, B.J., Ma, D.C.Y.: Deterministic Learning Automata Solutions to the Equi-Partitioning Problem. IEEE Transactions on Computers 37, 2–14 (1988)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Oommen, B.J.: Stochastic searching on the line and its applications to parameter learning in nonlinear optimization. IEEE Transactions on Systems, Man and Cybernetics SMC-27B, 733–739 (1997)Google Scholar
  4. 4.
    Salton, G., McGill, M.J.: Introduction to Modern Information Retrieval. McGraw-Hill, Inc., New York (1983)zbMATHGoogle Scholar
  5. 5.
    Salton, G., Wong, A., Yang, C.S.: A Vector Space Model for Automatic Indexing. Commun. of the ACM 18(11), 613–620 (1975)zbMATHCrossRefGoogle Scholar
  6. 6.
    Oommen, B.J., Granmo, O.C., Liang, Z.: Mapping Literature and Word-Of-Mouth Discussions Using Multidimensional Scaling, Unabridged version of this paper (submitted for publication) (2008)Google Scholar
  7. 7.
    Torgerson, W.S.: Multidimensional scaling: I. Theory and method. Psychometrika 17, 401–419 (1952)zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • B. John Oommen
    • 1
    • 2
  • Ole-Christoffer Granmo
    • 2
  • Zuoyuan Liang
    • 3
  1. 1.School of Computer ScienceCarleton UniversityOttawaCanada
  2. 2.Dept. of ICTUniversity of AgderGrimstadNorway
  3. 3.C/o. Dr. B. John Oommen, School of Computer ScienceCarleton UniversityOttawaCanada

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