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Feb 20, 2022 at 9:38 vote accept x.projekt
Feb 20, 2022 at 9:33 comment added x.projekt @gunes- I thought of the exact same method, and posted it as an answer.
Feb 20, 2022 at 9:01 comment added gunes I don't know which way would be best, but it needs reshaping since the second multiplicand is a 4d tensor with indices m,n,i,j. If you flatten dJ/dp (row-major) and construct another matrix with shape 4x9 where each entry holds the derivative of dP/dA (both flattened), then you can form a matrix mult, (dJ/dP) x (dP/dA).
Feb 20, 2022 at 7:08 comment added x.projekt how to obtain this summation (i.e., $\frac{\partial J}{\partial a_{ij}}=\sum_{m,n}\frac{\partial J}{\partial p_{mn}}\frac{\partial p_{mn}}{\partial a_{ij}}$) using matrix-calculus?
Feb 19, 2022 at 22:08 history answered gunes CC BY-SA 4.0