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Thread: Partial derivative answer check please.

  1. July 1st 2010, 08:24 PM #1
    scorpion007
    scorpion007 is offline
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    Partial derivative answer check please.

    Is this correct?

    If \displaystyle\frac{\partial \ell}{\partial \theta_j}=\sum_{k=1}^m(y^{(k)}-h_\theta(x^{(k)})x_j^{(k)}

    where h_\theta(x)=\theta^Tx, ~\theta,x\in R^n

    then

    \displaystyle\frac{\partial^2 \ell}{\partial \theta_i \partial \theta_j}=-\sum_{k=1}^m x_i^{(k)}x_j^{(k)} ?
    Last edited by scorpion007; July 4th 2010 at 05:28 PM.
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