#equation1905#
While the output of Figure-#fig8#720>(c) net is:
#equation1908#
#equation1911#
#figure723#
Figure 5: Three piecewise linear nets.
Since #tex2html_wrap_inline3189#, the three networks are I-O equivalent.
Clearly, the nets are not structurely equivalent, which contradicts
the concepts of irreducibility and uniqueness discussed in the last
section. Hence, piecewise linear nets using clip activation
functions, do not satisfy the properties of irreducibility and
uniqueness.