Geometric Median absolute deviation (MAD) of a collection of points.

See [https://en.wikipedia.org/wiki/Medianabsolutedeviation#Geometricmedianabsolute_deviation].

Geometric median of a collection of points. Points can be specified as real numbers (1d), complex numbers (2d), or arbitrary vectors.

See [https://en.wikipedia.org/wiki/Geometric_median].

julia> geometric_median([1, 2, 3])
2.0

julia> geometric_median([0, 1, 1im, 1+1im]) ≈ 0.5+0.5im
true

julia> geometric_median([[0, 0], [0, 1], [1, 0], [1, 1]]) ≈ [0.5, 0.5]
true

Select a pair of most distant points in the collection. Points can be specified as real numbers (1d), complex numbers (2d), or arbitrary vectors.

julia> most_distant_points([1, 2, 3])
(3, 1)

julia> most_distant_points([0, 1, 1+1im])
(1 + 1im, 0 + 0im)

julia> most_distant_points([[0, 0], [0, 1], [1, 1]])
([1, 1], [0, 0])

Select indices of a pair of most distant points in the collection. Points can be specified as real numbers (1d), complex numbers (2d), or arbitrary vectors.

julia> most_distant_points_ix([1, 2, 3])
(3, 1)

julia> most_distant_points_ix([0, 1, 1+1im])
(3, 1)

julia> most_distant_points_ix([[0, 0], [0, 1], [1, 1]])
(3, 1)