It's done first draft wahoo
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@@ -117,7 +117,7 @@ then multiplying numerator and denominator by $\sigma_0'(\tau - f_\theta(\mathbf
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\paragraph{Efficient computation via the sigmoid identity.}
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Direct evaluation of \eqref{eq:kde-grad-tau} requires computing $\sigma_0'$ for every
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point — potentially unstable when a point is far from $\tau$. For the sigmoid kernel,
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point, potentially unstable when a point is far from $\tau$. For the sigmoid kernel,
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the identity
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\begin{equation}
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