The influence of the place-value structure of the Arabic number ...

APPERNDIX B
Development of connection weights
Holistic model
For the holistic model training resulted in a diametrically opposed development of
connection weights of the two output nodes for the two numbers: connection weights to one
output node were comparatively high for small numbers and decreased with increasing
magnitude of the number while this pattern was reversed for the connection weights to the
other output node. Here, connection weights increased as the magnitude of the to-berepresented
number increased. As can be seen from Figure 1 increase / decrease of connection
weights with increasing magnitude did not follow a linear function, but rather seems to be of
compressed (logarithmic) nature (see below for a discussion).
Figure B: Connection weights from the input to the output node for each of the
two to-be-compared numbers and each output node as observed for
the holistic model (after 1.000, 10.000 and 50.000 training cycles).
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