. Author manuscript; available in PMC: 2023 Feb 1.

Published in final edited form as: Med Image Anal. 2021 Nov 13;76:102297. doi: 10.1016/j.media.2021.102297

Table 1:

The canonical correlation coefficients on simulation data. The training and testing canonical correlation coefficients (mean ± std) of nested five-fold cross-validation were reported. For each model, the canonical correlation coefficients of multi-modal associations were presented in separate rows.

Methods		Training canonical correlation coefficients						Testing canonical correlation coefficients
Methods		fold 1	fold 2	fold 3	fold 4	fold 5	mean ± std	fold 1	fold 2	fold 3	fold 4	fold 5	mean ± std

MTS2CCA	X vs. Y₁	0.906	0.906	0.913	0.912	0.909	0.909±0.003	0.890	0.893	0.861	0.851	0.892	0.877±0.020
	X vs. Y₂	0.621	0.639	0.623	0.605	0.642	0.626±0.015	0.505	0.381	0.487	0.471	0.457	0.461±0.048
	X vs. Y₃	0.414	0.392	0.383	0.402	0.422	0.403±0.016	0.227	0.167	0.100	0.040	0.105	0.128±0.071

MTGSCCA	X vs. Y₁	0.907	0.905	0.903	0.905	0.904	0.905±0.001	0.902	0.848	0.854	0.856	0.883	0.869±0.023
	X vs. Y₂	0.625	0.653	0.626	0.608	0.627	0.628±0.016	0.474	0.374	0.501	0.544	0.412	0.461±0.068
	X vs. Y₃	0.389	0.396	0.399	0.430	0.406	0.404±0.016	0.181	0.142	0.040	0.005	0.169	0.107±0.079

MTSCCA	X vs. Y₁	0.909	0.897	0.900	0.910	0.901	0.903±0.006	0.855	0.887	0.871	0.850	0.887	0.870±0.018
	X vs. Y₂	0.628	0.628	0.618	0.628	0.613	0.623±0.007	0.474	0.487	0.455	0.468	0.481	0.473±0.012
	X vs. Y₃	0.377	0.393	0.383	0.411	0.422	0.397±0.019	0.116	0.060	0.144	0.161	0.066	0.110±0.045

JCBSCCA	X vs. Y₁	0.765	0.754	0.806	0.764	0.798	0.777±0.023	0.781	0.685	0.774	0.731	0.792	0.753±0.044
	X vs. Y₂	0.539	0.528	0.542	0.515	0.525	0.530±0.011	0.389	0.397	0.415	0.411	0.371	0.397±0.018
	X vs. Y₃	0.320	0.293	0.207	0.266	0.252	0.268±0.043	−0.004	0.009	0.038	0.069	0.066	0.036±0.033

TCCA	X vs. Y₁	0.903	0.883	0.904	0.900	0.893	0.897±0.009	0.845	0.861	0.857	0.817	0.879	0.852±0.023
	X vs. Y₂	0.130	0.149	0.117	0.144	0.179	0.144±0.023	0.086	−0.007	0.042	0.035	0.223	0.076±0.089
	X vs. Y₃	0.130	0.121	−0.001	0.081	0.151	0.097±0.060	−0.041	−0.071	−0.043	−0.151	−0.069	0.075±0.045

SCCA	X vs. Y₁	0.917	0.910	0.919	0.914	0.909	0.914±0.004	0.853	0.898	0.866	0.893	0.901	0.882±0.021
	X vs. Y₂	0.117	0.118	0.120	0.048	0.113	0.103±0.031	0.037	0.031	0.047	−0.022	0.090	0.037±0.040
	X vs. Y₃	0.031	0.099	0.036	0.026	0.102	0.059±0.038	0.016	−0.149	0.123	−0.070	0.007	−0.015±0.102