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diff --git a/theory/main.tex b/theory/main.tex index 505f722..a20a140 100644 --- a/theory/main.tex +++ b/theory/main.tex @@ -251,9 +251,13 @@ $V = R\cup T$ where $R$ are the victim nodes and $T$ the non-victim nodes ($R\cap T=\emptyset$), then \emph{the violence cascades form a random forest spanning $R$ in $D$}. -Given a random forest $(T_1,\dots T_r)$ spanning $R$, where $T_i, 1\leq i\leq -n$ are trees, we can compute the probability of this forest occurring according -to the model +\paragraph{Likelihood.} Given the set of victim nodes $R$ and their infection +times, which we denote by the vector $\textbf{t}$, we can compute the +probability that the violence cascades propagated along the random forest +$(T_1,\dots, T_r)$ spanning $R$, where $T_1,\dots,T_r$ are trees: +\begin{displaymath} + \P\left[(T_1,\dots, T_r)|\mathbf{t}\right] +\end{displaymath} \section{Maximum Likelihood Inference} |