Landscape multidimensional scaling

  • Authors:
  • Katharina Tschumitschew;Frank Klawonn;Frank Höppner;Vitaliy Kolodyazhniy

  • Affiliations:
  • Department of Computer Science, University of Applied Sciences, Braunschweig, Wolfenbüttel, Germany;Department of Computer Science, University of Applied Sciences, Braunschweig, Wolfenbüttel, Germany;Department of Economics, University of Applied Sciences Braunschweig, Wolfenbüttel, Wolfsburg, Germany;Institute for Psychology, University of Basel, Basel, Switzerland

  • Venue:
  • IDA'07 Proceedings of the 7th international conference on Intelligent data analysis
  • Year:
  • 2007

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Abstract

We revisit the problem of representing a high-dimensional data set by a distance-preserving projection onto a two-dimensional plane. This problem is solved by well-known techniques, such as multidimensional scaling. There, the data is projected onto a flat plane and the Euclidean metric is used for distance calculation. In real topographic maps, however, travel distance (or time) is not determined by (Euclidean) distance alone, but also influenced by map features such as mountains or lakes. We investigate how to utilize landscape features for a distance-preserving projection. A first approach with rectangular cylindrical mountains in the MDS landscape is presented.