288 pp. per issue
6 x 9, illustrated
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Neural Computation

May 1, 2002, Vol. 14, No. 5, Pages 1195-1232
(doi: 10.1162/089976602753633457)
© 2002 Massachusetts Institute of Technology
Methods for Binary Multidimensional Scaling
Article PDF (353.57 KB)

Multidimensional scaling (MDS) is the process of transforming a set of points in a high-dimensional space to a lower-dimensional one while preserving the relative distances between pairs of points. Although effective methods have been developed for solving a variety of MDS problems, they mainly depend on the vectors in the lower-dimensional space having real-valued components. For some applications, the training of neural networks in particular, it is preferable or necessary to obtain vectors in a discrete, binary space. Unfortunately, MDS into a low-dimensional discrete space appears to be a significantly harder problem than MDS into a continuous space. This article introduces and analyzes several methods for performing approximately optimized binary MDS.