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lanern Recognition. Vol. 24. No. 6. pp. 543-553. l99l Printed in Great Britain
 

Summary: lanern Recognition. Vol. 24. No. 6. pp. 543-553. l99l
Printed in Great Britain
I. INTRODUCTION
The mapping of multidimensional data is con-
sidered as an important problem in data analysis.(l)
In general, mapping consists of finding a trans-
formation h:R"--+R2 that optimizes the criterion
J(*r, xz, X7r, I t, !2, . . . , ! u). The latter depends
on the given sample set of real vectors xr i = I,Z,
. . . , N in the n-dimensional space Rn, &S well as on
their projections li,i: 1,2, . .. , N into R2. Due to
the fact that the planar images lr, i - 1 ,2, .. . , N of
the data can be analysed by a hurnan observer the
mapping procedures are used as a tool for the inter-
active exploratory data analysis-testing the struc-
tural similarity of data sets, cluster analysis and
designing the pattern classifiers.
The mapping transformations may be grouped
into linear and nonlinear. The nonlinear trans-
formations(2'3) allow complicated mappings, but

  

Source: Aladjem, Mayer - Department of Electrical and Computer Engineering, Ben-Gurion University

 

Collections: Computer Technologies and Information Sciences