|
|
| Line 14: |
Line 14: |
| | where | | where |
| | :<math> | | :<math> |
| − | \begin{eqnarray}
| |
| − | P_3(\Pi, \Xi) &=& \frac{1}{n_\mathcal{Q}} \sum_{j = 1}^{n_\mathcal{Q}}
| |
| − | \max \{ F_2(\mathcal{P}_i, \mathcal{Q}_j) \mid i = 1,\ldots, n_\mathcal{P} \},\\[.2cm]
| |
| − | R_3(\Pi, \Xi) &=& \frac{1}{n_\mathcal{P}} \sum_{i = 1}^{n_\mathcal{P}}
| |
| − | \max \{ F_2(\mathcal{P}_i, \mathcal{Q}_j) \mid j = 1,\ldots, n_\mathcal{Q} \},\\[.2cm]
| |
| − | F_2(\mathcal{P}, \mathcal{Q}) &=& \frac{2 P_2(\mathcal{P}, \mathcal{Q}) R_2(\mathcal{P}, \mathcal{Q})}
| |
| − | {P_2(\mathcal{P}, \mathcal{Q}) + R_2(\mathcal{P}, \mathcal{Q})},\\[.2cm]
| |
| − | P_2(\mathcal{P}, \mathcal{Q}) &=& \frac{1}{m_Q} \sum_{l = 1}^{m_Q}
| |
| − | \max \{ F_1(P_k, Q_l) \mid k = 1,\ldots, m_P \},\\[.2cm]
| |
| − | R_2(\mathcal{P}, \mathcal{Q}) &=& \frac{1}{m_P} \sum_{k = 1}^{n_P}
| |
| − | \max \{ F_1(P_k, Q_l) \mid l = 1,\ldots, m_Q \},\\[.2cm]
| |
| − | F_1(P, Q) &=& \frac{2 P_1(P, Q) R_1(P, Q)}{P_1(P, Q) + R_1(P, Q)},\\[.2cm]
| |
| − | P_1(P, Q) &=& |P \cap Q|/|Q|,\\[.2cm]
| |
| − | R_1(P, Q) &=& |P \cap Q|/|P|.
| |
| − | \end{eqnarray}
| |
| − | </math>
| |
Revision as of 13:27, 13 August 2013
Three-Layer Precision, Three-Layer Recall, and Three-Layer F1 Score
This section needs fixing, it seems there are some problems with the math command. See here for a working version.
Three-layer precision (
), three-layer recall (
), and three-layer 
score () are defined as follows:
- Failed to parse (unknown function "\begin{equation}"): {\displaystyle \begin{equation} F_3(\Pi, \Xi) = \frac{2 P_3(\Pi, \Xi) R_3(\Pi, \Xi)}{P_3(\Pi, \Xi) + R_3(\Pi, \Xi)}, \end{equation} }
where
- <math>
