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Computational complexity of ALS for Matrix Factorization

Hello,

In the lecture of matrix factorization, for the ALS method, it is asked the computational complexity of computing Z_T and W_T. I tried to determine the computational complexity of computing Z_T. Can you tell me if I am correct please?
Also, it is asked how can you decrease the cost when N and D are large? Is it by decreasing K?

Thank you so much for your help.IMG_7328.jpgScreenshot 2022-01-09 at 09.45.22.jpg

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O(KDN) for both W and Z

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