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Andreas Tsouchlos 2022-12-19 03:45:47 +01:00
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latex/presentations/midterm/sections/theoretical_background.tex
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@ -74,6 +74,7 @@
\begin{align*} \begin{align*}
\gamma_i = \log\left( \frac{P\left( Y=y_i | C=0 \right) }{P\left( Y=y_i | C=1 \right) } \right) \gamma_i = \log\left( \frac{P\left( Y=y_i | C=0 \right) }{P\left( Y=y_i | C=1 \right) } \right)
\end{align*} \end{align*}
\todo{Why is ``the cost of decoding $\hat{y} = 1$'' a valid choice for an overall cost function?}
\item LP Formulation: \item LP Formulation:
\begin{align*} \begin{align*}
&\text{minimize } \sum_{i=1}^{n} \gamma_i f_i, \hspace{5mm} f_i = \sum_{\boldsymbol{y}} \lambda_{\boldsymbol{y}}y_i\\ &\text{minimize } \sum_{i=1}^{n} \gamma_i f_i, \hspace{5mm} f_i = \sum_{\boldsymbol{y}} \lambda_{\boldsymbol{y}}y_i\\