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Dynamics
Although the feed-forward network architectures are most employed
in engineering applications, allowing some down-stream neurons
to connect to up-stream ones adds an interesting feature - dynamics.
Such recurrent networks exhibit the characteristics of complex,
adaptive systems. This can be used for various useful things,
but is mainly invoked to de-blur noisy images or recognise the
handwriting of engineering students7. This might also be a possible
link to artificial intelligence, since complex dynamical systems
are more or less prerequisites for sentience. But then a waterfall
is also a complex dynamical system, so don't expect too much.
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