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Neural network construction where different outputs have different dependencies on the inputs

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Xuming Yuan 2024-4-8

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评论： Ben 2024-4-9

I want to construct a neural network for a system which is described by the image below. The arrows in the images shows the dependencies of the variables in the system (e.g.,

is dependent on

). I have two inputs

and

and

outputs

and

,

,...,

,

. Three intermediate variables

,

and

connect the inputs and outputs together, while the outputs

,

,...,

,

have dependencies sequentially and

is dependent on all the

. How can I construct a neural network where the inputs are

and

and the outputs are

and

,

,...,

,

?

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Ben 2024-4-9

The diagram suggests

depends on

and

depend on

(via

). Could you clarify how the simultaneous dependency should be handled?

One way might be a recurrent style network - all the variables are actually time series, and

depends on

, while

depend on

. You would hook up a neural network with the

and

as outputs and write code to feed the

back into the network at the next time step.

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