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How do I recover the 3D structure of a layer after a Fully Connected layer?

I wanted to implement a CNN but explore what happens when my first layer is Fully Connected. I still want to use convolutions of course but I wanted to apply them layer. I noticed that the input then losses its 3D structure. Does that mean I can only apply 1d convolutions after that? Is there a non-trivial way to recover the 3d structure so that 2d convolutions may be applied?

Hopefully when I reconstruct it to have 3d structure the 3d structure is somehow meaningful...


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