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\relax
\@writefile{toc}{\contentsline {section}{\numberline {1}Hawkes contagion model}{1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Background}{1}}
\newlabel{eq:rate}{{2}{1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Our model}{2}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.2.1}Infection rate}{2}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Diagram of a Hawkes process. STILL NEED TO MAKE A FIGURE.}}{3}}
\newlabel{fig:hawkes-diagram}{{1}{3}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.2.2}Likelihood}{3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Finding the background rate}{3}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces The background rate $M(t)$ learned to describe the data. Each dot represents the number of infections (fatal and nonfatal) that occurred on a given day.}}{4}}
\newlabel{fig:background}{{2}{4}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.4}Learning the parameters [THIBAUT FILL IN THIS SECTION]}{5}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.5}Inferring infections}{5}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces The distribution of cascade sizes follows a power-law distribution.}}{6}}
\newlabel{fig:cascade-sizes}{{3}{6}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.6}Experiments with synthetic data}{6}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.6.1}Generating networks}{6}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.6.2}Simulating contagions}{7}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.6.3}Results}{7}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Regarding causality [THIBAUT WRITE THIS SECTION]}{7}}
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