This work was supported by National Key Research and Development Program of China (Grant No. 2016YFC1000307) and National Natural Science Foundation of China (Grant Nos. 61971021, 61571024).
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Figure 1
MapReduce architecture.
Figure 6
(Color online) F-measure: DI $k$-prototypes algoriTheorem.
| Notation | Meaning |
| $U$ | Universe |
| $D~\subset~U$ | Database to be queried |
| $D'=D-i\*$ | Subset of $D$ missing one individual |
| $t~\in~U$ | Data associated with an individual |
| $I(t)$ | Identity of an individual corresponding to $t$ |
| $\mathcal{I}_D=\{I(t)|t\in~D\}$ | Set of individuals which belong to $D$ |
| $\Psi$ | All possible databases |
| $f$ | Query function |
| $\Delta~f$ | Sensitive range of $f$ |
| $sf$ | Score function |
| $M$ | Randomized mechanism |
| $\Gamma(t)$ | Identifiable risk for an individual $t$ |
Analysis of DP and DI $k$-means algorithms$^{\rm~a)}$
| Data set characteristic | Multivariate |
| Number of instances | 19020 |
| Area | Physical |
| Attribute characteristics | Real |
| Number of attributes | 11 |
| Classification | $g=$ gamma(signal): 12332, $h=$ hadron(background): 6688 |
| Attribute | Characteristic | Information | |||||||
| Age | Numerical | – | |||||||
| Sex | Categorical | 1: male; 2: female | |||||||
| Chest pain type | Categorical |
| |||||||
| Resting blood pressure | Numerical | – | |||||||
| Serum | Numerical | mg/dl | |||||||
| Fasting blood Sugar | Categorical |
| |||||||
| Categorical |
| |||||||
| Numerical | – | |||||||
| Exercise induced angina | Categorical | 0: no; 1: yes | |||||||
| Numerical | – | |||||||
| Categorical |
| |||||||
| Number of major vessels | Numerical | ||||||||
| Thalassemia | Categorical |
|
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