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Questions tagged [derivative]

For on-topic questions involving the mathematical concept of a derivative, i.e. $\frac{d}{dx} f(x)$. For purely mathematical questions about the derivative it is better to ask on math SE https://math.stackexchange.com/

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Computing gradients w.r.t input / Gaussian Process (RBF Kernel)

my intent is to write down an illustrative example of the derivatives w.r.t input from the MSE -> GP (with an RBF Kernel) -> Inputs $\frac{\partial MSE }{\partial x} (GP(x))$ Could anyone help me ...
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Derivative equal to zero in PCA

Source: presentation In PCA, we want to maximize variance $var(\alpha'_kX)$, i.e. $\alpha'_k \Sigma \alpha_k$ with respect to $\alpha' \alpha = 1$, where $\Sigma = X'X$. After introducing Lagrange ...
188 views

Optimal neural net weights when using cross entropy loss

I'm trying to understand how cross-entropy works for finding the optimal weights in neural networks. According to Eli Bendersky's website and neural networks and deeplearning tutorial, we can find the ...
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I have the equation $RSS\left ( \beta \right )=\left ( y-X\beta \right )^{T}\left ( y-X\beta \right )$ that I'm trying to differentiate w.r.t. $\beta$. I used chain rule to get to \$\frac{\partial ...