GuoShi28/CBDNet

A question about the loss

XSLXANDY opened this issue · 4 comments

Hello, I noticed you used L2 norm instead of F norm in your paper.
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In the loss function, it seems the variable x and y are matrices because I haven't seen any sum operation.
Notably, with regard to vectors, L2 norm is equal to F norm. But for matrix, L2 norm is totally different from F norm.
I want to confirm whether you used L2 norm of the matrix because papers often use F norm rather than L2 norm in image denoising.
Can you help me? Thanks a lot!

You are right. I follow the L2 norm experiment setting of other papers.

Thank you very much for your consideration and time.
But I'm still wondering why you choose the trace norm rather than F norm.
Can you list your reference papers about the L2 norm?

I am not sure I understand your question in the right way. preview works, such as DnCNN, FFDNet are both using L2 norm. I did not do the experiment with F norm in denoising, so I can not say L2 norm is a better choice.
There a research discussed the impact of different loss functions in image restoration (Paper). You can also refer to this paper and see whether its helpful to your understanding.

I know what you mean. I appreciate your assistance very much!