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The parameter d in skdim.datasets.hyperSphere is documented to be the "Dimension of the hypersphere". However, it is actually one larger than the intrinsic dimension of the hypersphere--the parameter d is the dimension of the ambient space in which the hypersphere is embedded (extrinsic dimension).
In [1]: fromskdim.datasetsimporthyperSphereIn [2]: X=hyperSphere(n=100,d=2)
In [3]: X.shapeOut[3]: (100, 2)
The 2-sphere (the usual sphere) can't be embedded in R^2. The dataset X above is a sampling of the circle (1-sphere) not a 2-sphere.
The text was updated successfully, but these errors were encountered:
The parameter
d
inskdim.datasets.hyperSphere
is documented to be the "Dimension of the hypersphere". However, it is actually one larger than the intrinsic dimension of the hypersphere--the parameterd
is the dimension of the ambient space in which the hypersphere is embedded (extrinsic dimension).The 2-sphere (the usual sphere) can't be embedded in R^2. The dataset
X
above is a sampling of the circle (1-sphere) not a 2-sphere.The text was updated successfully, but these errors were encountered: