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(1) Write down the alternating least squares (ALS) algorithm for computing CP decomposition of a N-way tensor. (2) Programming: Please generate a random tensor with

(1) Write down the alternating least squares (ALS) algorithm for computing CP decomposition of a N-way tensor. (2) Programming: Please generate a random tensor with dimension [6,5,3,4]; Then implement a rank-3 CP decomposition for this tensor; Change the initial guess (starting point) and the number of maximum iterations, then re- do the CP decomposition; Compare two decomposition results Please show your code and results.

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