diff --git a/talk.md b/talk.md index dddfe3f..00d71f6 100644 --- a/talk.md +++ b/talk.md @@ -765,38 +765,29 @@ $$ .bold.center[Having access to the gradients can make the fit orders of magnitude faster than finite difference] --- -# Enabling new tools with autodiff [TODO: CLARIFY] +# Moving towards differential workflows -.kol-1-1[ .kol-1-3[
-] -.kol-1-3[ -
- -
-] -.kol-1-3[ -- -
-] -] - -.kol-1-3[ * Counting experiment for presence of signal process * Place discriminate selection cut on observable $x$ to maximize significance $f(x)$ * Step along cut values in $x$ and calculate significance ] .kol-1-3[ ++ +
* Need differentiable analogue to non-differentiable cut * Weight events using activation function of sigmoid .center[$w=\left(1 + e^{-\alpha(x-c)}\right)^{-1}$] ] .kol-1-3[ ++ +
* With a simple gradient descent algorithm can easily automate the significance optimization * Allows for the "cut" to become a parameter that can be differentiated through for the larger analysis ]