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If we have cost function as $$E_i = (D_i -Y_i)^T Q (D_i -Y_i)$$, where $$Q=\begin{bmatrix} 1 & 0 & 0\\ 0 & 0 & 0\\ 0 & 0 & 0 \end{bmatrix}$$( in case only one data signal can be measured) , only weights on the first row are updated.

Is there any way to update all weights? Or, is there any other cost function for this? if there is, could you let me know the reference or papers for it?

Thank you in advance.

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