Mapping determination methods and data discrimination methods us

Details Mapping determination methods and data discrimination methods us Mapping determination methods and data discrimination methods us

1995-10-11

1998-08-18

Downs, Robert W.

395 23, 395 24, G06F 1518

Patent

active

057969213

ABSTRACT:
A mapping determination method for obtaining mapping F from an N-dimensional metric vector space .OMEGA..sub.N to an M-dimensional metric vector space .OMEGA..sub.M has the following steps to get the optimal mapping quickly and positively. In the first step, complete, periodic, L.sub.m basic functions g.sub.m (X) according to the distribution of samples classified into Q categories on the N-dimensional metric vector space .OMEGA..sub.N are set. In the second step, a function f.sub.m (X) indicating the m-th component of the mapping F is expressed with the linear sum of the functions g.sub.m (X) and L.sub.m coefficients c.sub.m. The third step provides Q teacher vectors T.sub.q =(t.sub.q.1, t.sub.q.2, t.sub.q.3, . . . , t.sub.q.M) (where q=1, 2, . . . , Q) for the categories on the M-dimensional metric vector space .OMEGA..sub.M, calculates the specified estimation function J, and obtains the coefficients c.sub.m which minimize the estimation function J. In the fourth step, the coefficients c.sub.m obtained in the third step are stored in memory.

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