**Benchmark id: inv2b**

**Multi-Dimensional Scaling (MDS) analysis**

Number of solutions is not adequate!

**Note**

This analysis employs multidimensional scaling (Borg and Groenen, 2005) to compare the slip models. The dissimilarities are obtained for all pairs of slip models,

*viz*. dissimilarity matrix and embedded in low dimensional Euclidean space. We define four categories or levels of similarity: ”excellent”, ”good”, ”fair”, and ”poor” with respect to a reference (or target) solution or a centroid measure in absence of a reference solution.

Graphical interpretation for the similarity scale is as follows:

Excellent | Solution/s located inside the innermost circle |

Good | Solution/s located between the innermost and middle circle |

Fair | Solution/s located between the middle and outermost circle |

Poor | Solutions/s located outside the outermost circle |

For more details on the technique:

1. | Borg, I. and P. Groenen (2005). Modern Multidimensional Scaling, 2nd edition. New York, Springer |

2. | Razafindrakoto, H. N., Mai, P. M., Genton, M. G., Zhang, L., and Thingbaijam, K. K. (2015). Quantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake. Geophysical Journal International, 202(1), 17-40. |