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jrsjrsjrsjrs avatar jrsjrsjrsjrs commented on May 27, 2024

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yanyiss avatar yanyiss commented on May 27, 2024

so how i can get (7) by splitting? i thought (7) should be the 1-norm of difference between the two variables, but why it's the sum?
Hi Yanyiss, ∂d_e^+ and ∂d_e^- are not the same as d_e and d*_e. Rather: if d_e - d_e^* is positive, the we set ∂d_e^+ = d_e - d_e^* and ∂d_e^- = 0. Whereas if d_e - d_e^* is negative, the we set ∂d_e^+ = 0 and ∂d_e^- = d_e^* - d_e. That way, we obtain the property that ∂d_e^+ + ∂d_e^- = ||d_e - d*_e||_1, while also ensuring that ∂d_e^+ and ∂d_e^- are always nonnegative. I hope this helps, Jonathan

Thanks a lot and it does help me. By the way, I found I got mistakes about the second question while reading the codes. So I've understood them. Thanks again for your time.

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jrsjrsjrsjrs avatar jrsjrsjrsjrs commented on May 27, 2024

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