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weight sharing

Dear TAs,

Screenshot from 2020-12-22 18-07-36..jpg

In this scenario, what would be \(\frac{\partial \mathcal{L}}{\partial w_{2}}\) ?
My guess is that if the independent weight of \(\frac{\partial \mathcal{L}}{\partial w_{2}}\) and \(\frac{\partial \mathcal{L}}{\partial w_{3}}\) is 1, and if w2=w3, then \(\frac{\partial \mathcal{L}}{\partial w_{3}}\) for the network with weight sharing would be 2.

However, I am confused because it says that the condition was already fulfilled, then would the weights of both be 1/2?

I know that the question asks for w1 but I think this question could help me understand weight sharing better :)

Thank you in advance :)

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