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| author | Ben Green <bgreen@g.harvard.edu> | 2015-09-18 23:38:46 -0400 |
|---|---|---|
| committer | Ben Green <bgreen@g.harvard.edu> | 2015-09-18 23:38:48 -0400 |
| commit | bb68c49552f69b90ce840dbd7346fc76eb93e3e3 (patch) | |
| tree | a5a184d2403eb16dbadf9cbf9a1f32f540d5ab00 /supplements/.texpadtmp/main.aux | |
| parent | a585b261dace47783fdae28130c8e4792627a230 (diff) | |
| download | criminal_cascades-bb68c49552f69b90ce840dbd7346fc76eb93e3e3.tar.gz | |
pretty plots!
Diffstat (limited to 'supplements/.texpadtmp/main.aux')
| -rw-r--r-- | supplements/.texpadtmp/main.aux | 35 |
1 files changed, 21 insertions, 14 deletions
diff --git a/supplements/.texpadtmp/main.aux b/supplements/.texpadtmp/main.aux index 41e3d8b..7a2a06b 100644 --- a/supplements/.texpadtmp/main.aux +++ b/supplements/.texpadtmp/main.aux @@ -1,21 +1,28 @@ \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{toc}{\contentsline {section}{\numberline {1}Contagion Model}{1}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Hawkes Processes}{1}} +\newlabel{sec:background}{{1.1}{1}} +\newlabel{eq:hawkes}{{1}{1}} +\newlabel{eq:likelihood}{{2}{2}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Contagion of Gun Violence as a Hawkes Process}{2}} +\newlabel{sec:model}{{1.2}{2}} +\@writefile{toc}{\contentsline {paragraph}{Exogenous intensity.}{2}} +\@writefile{toc}{\contentsline {paragraph}{Exciting functions.}{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{toc}{\contentsline {subsection}{\numberline {1.3}Likelihood}{3}} +\newlabel{eq:final-likelihood}{{3}{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{toc}{\contentsline {section}{\numberline {2}Model Inference}{4}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Background rate}{4}} +\newlabel{sec:background}{{2.1}{4}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Kernel function parameters}{5}} +\@writefile{toc}{\contentsline {section}{\numberline {3}Inferring infections}{5}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Experiments with synthetic data}{5}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.1}Generating networks}{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}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.2}Simulating contagions}{6}} +\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.3}Results}{6}} +\@writefile{toc}{\contentsline {section}{\numberline {4}Regarding causality [THIBAUT WRITE THIS SECTION]}{6}} |