Was trying to work with the formula

[mikelmh025]

Hi there,

Great work! I am trying to learn from the formula and walk through the proof of propositions. I was trying to find the derivatives of the loss function and encountered finding the partial derivative of the cosine similarity term. By comparing my answer and steps in the paper I kind of get this result (as the image shows).

I am not quite sure if that is correct and how that works. Would you mind help me a bit with this?

[raminnakhli]

Hi and thank you!
The second line is correct as the z_j is independent of z_i. However, in the first line, z^1_i and z^2_i are augmentations of the same image which means they are dependent on each other. Therefore, the first term is not necessarily correct.
I hope it would have helped.

[raminnakhli]

I'll close this issue as there hasn't been an activity for a while. Please open another issue if this is not responded.