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| author | Thibaut Horel <thibaut.horel@gmail.com> | 2015-08-18 22:56:11 -0700 |
|---|---|---|
| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2015-08-18 22:56:11 -0700 |
| commit | 542012fc5ab0b373d85d1d13852daf834193bd33 (patch) | |
| tree | 02f65f4f8527164e7fd6b928be568e3f409e53f9 | |
| parent | f21723ec23a6e5960d5a94660193298cd8f0d5d3 (diff) | |
| download | criminal_cascades-542012fc5ab0b373d85d1d13852daf834193bd33.tar.gz | |
Crime -> infection
| -rw-r--r-- | theory/warmup.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theory/warmup.tex b/theory/warmup.tex index 7c2da96..c34eb89 100644 --- a/theory/warmup.tex +++ b/theory/warmup.tex @@ -56,7 +56,7 @@ \end{itemize} \paragraph{Model} -The crimes are modeled as a multivariate Hawkes process. The instantaneous rate +The infections are modeled as a multivariate Hawkes process. The instantaneous rate of infection of user $j$ at time $t$ is given by: \begin{displaymath} \lambda_j(t) = \lambda(t) + \sum_{t_i<t}\alpha_{v_i, j} @@ -113,7 +113,7 @@ a recursive trick, the complexity of this term can be reduced to $O(mn)$ for an overall running time of $O(mn + n^2)$. \emph{Question:} Is it worth it in our case? Yes if the number of victims -is significantly smaller than the number of crimes. Is it the case? +is significantly smaller than the number of infections. Is it the case? \end{document} |
