data	Noise level	Method	PearsonR	SpearmanR	Norm Fro N2	Norm inf N2
Swiss roll	0.1	Diffusion Map	0.974 ± 0.01	0.983 ± 0.007	0.018 ± 0.0	0.026 ± 0.0
Swiss roll	0.1	Heat-Geo	0.992 ± 0.003	0.995 ± 0.002	0.002 ± 0.0	0.003 ± 0.0
Swiss roll	0.1	Heat-PHATE	0.99 ± 0.002	0.997 ± 0.001	0.079 ± 0.002	0.1 ± 0.003
Swiss roll	0.1	PHATE	0.621 ± 0.006	0.58 ± 0.01	0.022 ± 0.0	0.026 ± 0.0
Swiss roll	0.1	Rand-Geo	0.956 ± 0.003	0.993 ± 0.001	0.009 ± 0.0	0.012 ± 0.0
Swiss roll	0.1	Shortest Path	1.0 ± 0.0	1.0 ± 0.0	0.0 ± 0.0	0.001 ± 0.0
Swiss roll	0.1	Euclidean	0.379 ± 0.003	0.424 ± 0.003	0.014 ± 0.0	0.018 ± 0.0
Swiss roll	0.5	Diffusion Map	0.982 ± 0.003	0.987 ± 0.002	0.018 ± 0.0	0.026 ± 0.0
Swiss roll	0.5	Heat-Geo	0.994 ± 0.002	0.996 ± 0.001	0.002 ± 0.0	0.004 ± 0.0
Swiss roll	0.5	Heat-PHATE	0.993 ± 0.001	0.998 ± 0.0	0.064 ± 0.001	0.083 ± 0.002
Swiss roll	0.5	PHATE	0.649 ± 0.007	0.615 ± 0.006	0.023 ± 0.0	0.028 ± 0.0
Swiss roll	0.5	Rand-Geo	0.969 ± 0.002	0.995 ± 0.001	0.009 ± 0.0	0.011 ± 0.0
Swiss roll	0.5	Shortest Path	0.999 ± 0.0	0.999 ± 0.0	0.001 ± 0.0	0.002 ± 0.0
Swiss roll	0.5	Euclidean	0.376 ± 0.004	0.422 ± 0.004	0.013 ± 0.0	0.018 ± 0.0
Swiss roll	1.0	Diffusion Map	0.476 ± 0.226	0.478 ± 0.138	0.018 ± 0.0	0.026 ± 0.0
Swiss roll	1.0	Heat-Geo	0.702 ± 0.086	0.7 ± 0.073	0.01 ± 0.0	0.012 ± 0.0
Swiss roll	1.0	Heat-PHATE	0.623 ± 0.144	0.633 ± 0.114	0.01 ± 0.002	0.019 ± 0.004
Swiss roll	1.0	PHATE	0.457 ± 0.01	0.404 ± 0.024	0.024 ± 0.0	0.028 ± 0.0
Swiss roll	1.0	Rand-Geo	0.521 ± 0.042	0.608 ± 0.025	0.01 ± 0.0	0.014 ± 0.0
Swiss roll	1.0	Shortest Path	0.497 ± 0.144	0.558 ± 0.134	0.011 ± 0.001	0.015 ± 0.002
Swiss roll	1.0	Euclidean	0.365 ± 0.006	0.413 ± 0.005	0.013 ± 0.0	0.019 ± 0.001
Swiss roll high	0.1	Diffusion Map	0.98 ± 0.003	0.986 ± 0.001	0.018 ± 0.0	0.026 ± 0.0
Swiss roll high	0.1	Heat-Geo	0.992 ± 0.003	0.996 ± 0.002	0.002 ± 0.0	0.003 ± 0.0
Swiss roll high	0.1	Heat-PHATE	0.991 ± 0.002	0.997 ± 0.001	0.079 ± 0.002	0.101 ± 0.004
Swiss roll high	0.1	PHATE	0.625 ± 0.013	0.582 ± 0.017	0.022 ± 0.0	0.026 ± 0.0
Swiss roll high	0.1	Rand-Geo	0.956 ± 0.002	0.993 ± 0.001	0.009 ± 0.0	0.012 ± 0.0
Swiss roll high	0.1	Shortest Path	1.0 ± 0.0	1.0 ± 0.0	0.001 ± 0.0	0.002 ± 0.0
Swiss roll high	0.1	Euclidean	0.379 ± 0.002	0.424 ± 0.002	0.014 ± 0.0	0.018 ± 0.0
Swiss roll high	0.5	Diffusion Map	0.98 ± 0.002	0.985 ± 0.002	0.018 ± 0.0	0.026 ± 0.0
Swiss roll high	0.5	Heat-Geo	0.997 ± 0.001	0.997 ± 0.0	0.005 ± 0.0	0.007 ± 0.0
Swiss roll high	0.5	Heat-PHATE	0.995 ± 0.0	0.997 ± 0.0	0.041 ± 0.001	0.054 ± 0.002
Swiss roll high	0.5	PHATE	0.717 ± 0.004	0.707 ± 0.005	0.026 ± 0.0	0.034 ± 0.001
Swiss roll high	0.5	Rand-Geo	0.984 ± 0.0	0.996 ± 0.0	0.008 ± 0.0	0.01 ± 0.0
Swiss roll high	0.5	Shortest Path	0.999 ± 0.0	0.998 ± 0.0	0.006 ± 0.0	0.009 ± 0.0
Swiss roll high	0.5	Euclidean	0.369 ± 0.003	0.421 ± 0.003	0.013 ± 0.0	0.018 ± 0.0
Swiss roll high	1.0	Diffusion Map	0.555 ± 0.155	0.526 ± 0.081	0.018 ± 0.0	0.026 ± 0.0
Swiss roll high	1.0	Heat-Geo	0.705 ± 0.065	0.695 ± 0.052	0.011 ± 0.0	0.012 ± 0.0
Swiss roll high	1.0	Heat-PHATE	0.63 ± 0.106	0.625 ± 0.074	0.011 ± 0.001	0.014 ± 0.002
Swiss roll high	1.0	PHATE	0.473 ± 0.026	0.419 ± 0.024	0.027 ± 0.0	0.039 ± 0.001
Swiss roll high	1.0	Rand-Geo	0.563 ± 0.05	0.644 ± 0.033	0.01 ± 0.0	0.012 ± 0.0
Swiss roll high	1.0	Shortest Path	0.384 ± 0.02	0.461 ± 0.017	0.011 ± 0.0	0.015 ± 0.0
Swiss roll high	1.0	Euclidean	0.349 ± 0.004	0.409 ± 0.003	0.013 ± 0.0	0.018 ± 0.0
Swiss roll very high	0.1	Diffusion Map	0.977 ± 0.005	0.984 ± 0.004	0.018 ± 0.0	0.026 ± 0.0
Swiss roll very high	0.1	Heat-Geo	0.992 ± 0.002	0.996 ± 0.001	0.002 ± 0.0	0.003 ± 0.0
Swiss roll very high	0.1	Heat-PHATE	0.991 ± 0.001	0.997 ± 0.001	0.079 ± 0.003	0.101 ± 0.003
Swiss roll very high	0.1	PHATE	0.631 ± 0.01	0.594 ± 0.011	0.023 ± 0.0	0.028 ± 0.001
Swiss roll very high	0.1	Rand-Geo	0.957 ± 0.002	0.994 ± 0.001	0.009 ± 0.0	0.012 ± 0.0
Swiss roll very high	0.1	Shortest Path	0.999 ± 0.0	0.999 ± 0.0	0.006 ± 0.0	0.007 ± 0.0
Swiss roll very high	0.1	Euclidean	0.378 ± 0.002	0.424 ± 0.002	0.013 ± 0.0	0.018 ± 0.0
Swiss roll very high	0.5	Diffusion Map	0.978 ± 0.002	0.984 ± 0.001	0.018 ± 0.0	0.026 ± 0.0
Swiss roll very high	0.5	Heat-Geo	0.997 ± 0.0	0.998 ± 0.0	0.008 ± 0.0	0.01 ± 0.0
Swiss roll very high	0.5	Heat-PHATE	0.996 ± 0.001	0.997 ± 0.0	0.016 ± 0.0	0.02 ± 0.001
Swiss roll very high	0.5	PHATE	0.815 ± 0.002	0.823 ± 0.004	0.032 ± 0.0	0.049 ± 0.002
Swiss roll very high	0.5	Rand-Geo	0.986 ± 0.0	0.996 ± 0.0	0.008 ± 0.0	0.009 ± 0.0
Swiss roll very high	0.5	Shortest Path	0.998 ± 0.0	0.998 ± 0.0	0.019 ± 0.001	0.027 ± 0.001
Swiss roll very high	0.5	Euclidean	0.361 ± 0.002	0.42 ± 0.002	0.013 ± 0.0	0.018 ± 0.0
Swiss roll very high	1.0	Diffusion Map	0.324 ± 0.061	0.399 ± 0.033	0.018 ± 0.0	0.026 ± 0.0
Swiss roll very high	1.0	Heat-Geo	0.466 ± 0.007	0.506 ± 0.006	0.011 ± 0.0	0.013 ± 0.0
Swiss roll very high	1.0	Heat-PHATE	0.369 ± 0.011	0.43 ± 0.019	0.011 ± 0.0	0.014 ± 0.0
Swiss roll very high	1.0	PHATE	0.377 ± 0.011	0.425 ± 0.009	0.036 ± 0.0	0.062 ± 0.004
Swiss roll very high	1.0	Rand-Geo	0.398 ± 0.009	0.516 ± 0.008	0.01 ± 0.0	0.012 ± 0.0
Swiss roll very high	1.0	Shortest Path	0.367 ± 0.018	0.443 ± 0.016	0.012 ± 0.0	0.015 ± 0.0
Swiss roll very high	1.0	Euclidean	0.336 ± 0.002	0.402 ± 0.002	0.012 ± 0.0	0.018 ± 0.0