It's done first draft wahoo
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@@ -27,8 +27,7 @@ Substituting \eqref{eq:sigmoid-kernel} into the KDE CDF:
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\label{eq:kde-sigmoid-cdf}
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\end{equation}
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%
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The derivative of $\hat{F}_k$ with respect to $\tau$ — used in Newton--Raphson inversion
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and in the gradient — is:
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The derivative of $\hat{F}_k$ with respect to $\tau$ is:
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%
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\begin{equation}
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\frac{\partial \hat{F}_{k}(\tau)}{\partial \tau}
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