Table 1:

Default values of LDLE hyperparameters.

Hyperparameter	Description	Default value
k nn	No. of nearest neighbors used to construct the graph Laplacian	49
k tune	The nearest neighbor, distance to which is used as a local scaling factor in the construction of graph Laplacian	7
N	No. of nontrivial low frequency Laplacian eigenvectors to consider for the construction of local views in the embedding space	100
d	Intrinsic dimension of the underlying manifold	2
p	Probability mass for computing the bandwidth tk of the heat kernel	0.99
k lv	The nearest neighbor, distance to which is used to construct local views in the ambient space	25
${\left({\tau }_s\right)}_{s=1}^d$	Percentiles used to restrict the choice of candidate eigenfunctions	50
${\left({\delta }_s\right)}_{s=1}^d$	Fractions used to restrict the choice of candidate eigenfunctions	0.9
η min	Desired minimum number of points in a cluster	5
to_tear	A boolean for whether to tear the manifold or not	True
ν	A relaxation factor to compute the neighborhood graph of the intermediate views in the embedding space	3
N r	No. of iterations to refine the global embedding	100