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Figure 1 | BMC Bioinformatics

Figure 1

From: Robust clustering in high dimensional data using statistical depths

Figure 1

Illustration of spatial depth function. y1 is located deep inside the cloud of x's, summing up e will result in a vector with the norm close to 0 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacuaIWaamgaWcaaaa@2DAC@ , since unit vectors have different directions and they cancel each other out. The depth of y1 is approaching 1. y2 is outside the data cloud, the sum of e has a large norm, thus the depth is approaching 0.

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