Table 1.

Comparison of global and local structure preservation metrics for two datasets: the Swiss roll and artificial tree datasets

	Swiss roll			Artificial tree
	Global		Local	Global		Local
Method	Pearson	Spearman	Trustworthiness	Pearson	Spearman	Trustworthiness
Diffusion Map	0.493	0.458	0.947	0.727	0.681	0.990
PHATE	0.428	0.314	0.956	0.615	0.361	0.991
Shortest Path	0.534	0.538	0.950	0.879	0.892	0.991
HeatGeo	0.529	0.548	0.959	0.798	0.884	0.992
DTNE	0.640	0.635	0.964	0.912	0.918	0.993

Pearson and Spearman correlations between algorithm-derived and ground truth distance matrices assess global structure preservation, while the trustworthiness metric evaluates local structure preservation (higher values indicate better performance. Bold indicates best average performance).