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I want to use a custom loss function which is a weighted combination of l1 and DSSIM losses. The DSSIM loss is limited between 0 and 0.5 where as the l1 loss can be orders of magnitude greater and is so in my case. How does backpropagation work in this case? For a small change in weights, the change of the l1 component would obviously always be far greater than the SSIM component. So, it seems that only l1 part will affect the learning and the SSIM part would almost have no role to play. Is this correct? Or I am missing something here. I think I am, because in the DSSIM implementation of Keras-contrib, it is mentioned that we should add a regularization term like a l2 loss in addition to DSSIM (https://github.com/keras-team/keras-contrib/blob/master/keras_contrib/losses/dssim.py); but I am unable to understand how it would work and how the SSIM would affect the backpropagation being totally overshadowed by the large magnitude of the other component. It will be a great help if someone can explain this. Thanks.

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