loading...
Locally Multidimensional Scaling for Nonlinear Dimensionality Reduction
Hong Kong August 20-August 24
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICPR.2006.77418th International Conference on Patt ...
 This Article 
 
PDF
HTML
 
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Li Yang, Western Michigan University,Kalamazoo
A data embedding method is introduced to configure global coordinates of data using local distances as input. The method applies classical multidimensional scaling within a neighborhood of each data point. The local models are then aligned to derive global coordinates in order to minimize a residual measure. The residual measure has a quadratic form of resulting global coordinates, which makes the alignment problem solved analytically by using an eigensolver. Experiments show that the method produces less deformed embedding results than locally linear embedding. Variations of the method and possible extensions are also discussed.
Index Terms:
Dimensionality reduction, locally linear embedding, manifold learning, multidimensional scaling.
Citation:
Li Yang, "Locally Multidimensional Scaling for Nonlinear Dimensionality Reduction," icpr, vol. 4, pp.202-205, 18th International Conference on Pattern Recognition (ICPR'06) Volume 4, 2006
Usage of this product signifies your acceptance of the Terms of Use.