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fixed formula formatting
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seitzseb committed Nov 1, 2024
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6 changes: 3 additions & 3 deletions doc/research/paf24/general/driving_score.md
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Expand Up @@ -18,19 +18,19 @@ The driving proficiency of an agent can be characterized by multiple metrics. Fo

## Driving score

\[\frac{1}{N}\sum^i_N R_i P_i\]
$\frac{1}{N}\sum^i_N R_i P_i$

- The main metric of the leaderboard, serving as an aggregate of the average route completion and the number of traffic infractions. Here $N$ stands for the number of routes, $R_i$ is the percentage of completion of the $i$-th route, and $P_i$ is the infraction penalty of the $i$-th route.

## Route completion

\[\frac{1}{N}\sum^i_N R_i\]
$\frac{1}{N}\sum^i_N R_i$

- Percentage of route distance completed by an agent, averaged across $N$ routes.

## Infraction penalty

\[\prod_j^{ped, veh, ... stop} (p_j^i)^{n_{infractions}}\]
$\prod_j^{ped, veh, ... stop} (p_j^i)^{n_{infractions}}$

- Aggregates the number of infractions triggered by an agent as a geometric series. Agents start with an ideal 1.0 base score, which is reduced by a penalty coefficient for every instance of these.

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