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In-Depth Information
Tikk, D., Kóczy, L. T., & Gedeon, T. D. (2001). Universal approximation and its limits in soft comput-
ing techniques. An overview (Research Working Paper No. RWP-IT-02-2001). Perth (W.A.): Murdoch
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endnotes
1
If the two Humean properties of causality would be sufficient to explain causal structures, a bad
weather forecast would be the regarded as the cause for bad weather.
2
An α -error or type-1-error denotes a cause-and-effect relation between two variables in a causal
strategy model although the corresponding time-series are not causal. On the contrary the term
β- or type-2-error is used if there exists a causal relation in reality (i.e. between the time-series of
two variables but it is not represented in the causal strategy model.
3
The computation of the autocorrelation of a variable X and a given order n corresponds to the one
of the cross correlation
X X n . Hence it will be abbreviated by the symbol ( )
( )
X n for the rest of
this chapter.
4
IC = Inductive Causation
5
The transitive closure is the set of all direct and indirect successors of a node within a directed
graph (e.g. a causal strategy model).
6
A validation data set is a subset of the empirical data which is not used to train the ANN
11
7
e.g.:
net
=
in
+
w
out
e
e
h e
,
h
t
2
t
2
i t
2
i
i
=
9
8
The statistical significance of this statement has been validated by testing the group average of
the squared errors for both techniques using variance analysis.
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