Intrinsic Dimension Estimation: Relevant Techniques and a Benchmark Framework

Table 1

The types of synthetic datasets generated with the tool proposed in [79].

Dataset	Underlying manifold name	Description
Synthetic		-dimensional sphere linearly embedded		User-defined
		Affine space
		Concentrated figure, mistakable with a -dimensional one
		Nonlinear manifold
		2-dimensional helix
		Nonlinear manifold
		Swiss-Roll
		Nonlinear (highly curved) manifold		72
		Affine space		User-defined
		-dimensional hypercube		User-defined
		Möebius band -times twisted
		Isotropic multivariate Gaussian		User-defined
		1-dimensional helix curve		User-defined