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Area under the \(R_{NX}(K)\) curve when \(K\) is put on a logarithmic scale.

Usage

AUC_ln_K(R_NX)

Arguments

R_NX

The R_NX curve, a vector of values

Value

A value, the area under the curve.

Details

It is calculated as: $$ AUC_{\ln K}(R_{NX}(K)) = \left(\sum_{K=1}^{N-2}R_{NX}(K)/K\right)/\left(\sum_{K=1}^{N-2}1/K\right) $$

References

Lee, J. A., Peluffo-Ordóñez, D. H., & Verleysen, M., 2015. Multi-scale similarities in stochastic neighbour embedding: Reducing dimensionality while preserving both local and global structure. Neurocomputing, 169, 246–261. https://doi.org/10.1016/j.neucom.2014.12.095

Author

Guido Kraemer