Seminar "Multidimensional Scaling"
|
Apr 18: Seminar in D 210 |
Multidimensional Scaling (MDS) is a family of methods for analysis and graphical representation of high-dimensional data. Using dimensionality reduction, similarity data is represented as distances among points in a geometric space. Originating from behavioral sciences, it nowadays widespread in many other areas of appliation: statistics, marketing, sociology, etc.; particularly, it is suited for many tasks in information visualization. This seminar covers some of the major developments in MDS, including models, algorithms, and examples. |
Dates
| Seminar (U. Brandes, C. Pich) | Thursday, 10.15 – 11.45 (D 210) |
Organization
This seminar will cover the following topics based on original research articles and monographs:
- Classical MDS
- Distance Scaling
- MDS Algorithms
- Nonmetric MDS
- Unfolding
- Multiway MDS
- Principal Component Analysis
- Procrustes Analysis
- Nonlinear Dimensionality Reduction
- ...
Each talk is of maximum length 60 minutes; after the presentation all seminar participants will discuss content and presentation technique.
All participants are required to compile a written extended abstract/paper about the topic within four weeks after the presentation containing main results, examples, and references to original work. We recommend to use (pdf)LaTeX for document preparation; formulas, figures, and tables should not be scanned/copied but cleanly and carefully reproduced if possible.
Talks
Talks will be assigned in the first meeting.
| Date | Speaker | Topic |
|---|---|---|
| 2007-04-19 | · | First meeting and talk assignment |
| 2007-05-23 | Christian Pich | Applications of MDS to Graph Drawing |
| 2007-06-14 | Simon Endele | Prokrustes-Analyse |
| 2007-07-12 | Lars Volkhardt | Modellierung und Analyse asymmetrischer Daten |
General Reading
- I. Borg and P.J.F. Groenen, Modern Multidimensional Scaling, 2nd edition. Springer, 2005.
- T.F. Cox and M.A.A. Cox, Multidimensional Scaling. Chapman & Hall/CRC, 2001.
- J.B. Kruskal and M. Wish, Multidimensional Scaling. Sage Publications, 1978.
- K.V. Mardia, J.T. Kent, and J.M. Bibby, Multivariate Analysis. Academic Press, 1979.
Further Links
- LSF entry
- The "Account Tool" (German article)
- The Ipe extensible drawing editor
- Inkscape open source SVG editor
- The LaTeX Beamer Class
- Algorithm2e package for LaTeX2e