Module robust_location 

Robust spatial location estimators.

Provides the geometric median (L1 median in 2-D and 3-D) via the Weiszfeld algorithm with Vardi-Zhang coincidence handling, the coordinate-wise L1 median, and the arithmetic spatial mean.

References

• Weiszfeld, E. (1937). Sur le point pour lequel la somme des distances de n points donnés est minimum. Tôhoku Math. J., 43, 355-386.
• Vardi, Y. & Zhang, C.-H. (2000). The multivariate L1-median and associated data depth. PNAS, 97(4), 1423-1426.

Structs

RobustLocationOptions

Convergence options for the Weiszfeld iterative algorithm.

Functions

geometric_median

Compute the geometric median of a set of 2-D points using default options.

geometric_median_3d

Compute the geometric median of a set of 3-D points.

geometric_median_with_options

Compute the geometric median with custom convergence options.

l1_median

Coordinate-wise L1 median (median-of-x, median-of-y).

spatial_mean

Arithmetic spatial mean (centroid) of a set of 2-D points.

weighted_geometric_median

Compute the weighted geometric median of a set of 2-D points.