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are given as current values of the leftmost nodes, after a number of steps, depend-
ing on the number of levels of a given ANN, the current values of the rightmost
nodes provide the output values of the ANN in correspondence to the given input
values. In this sense, an ANN with
n
input nodes and
m
output nodes computes
a function from numerical
n
-sequences to numerical
m
-sequences. A typical prob-
lem of ANNs is the following inverse problem: given a set of
k
pairs
(
X
i
,
Y
i
)
,for
i
k
,where
X
i
and
Y
i
are input and output sequences, finding an ANN able
to provide, in the most faithful way, the given correspondence, that is, providing the
best approximating function that underlies the given input-output pairs.
=
1
,
2
,...,
