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. Author manuscript; available in PMC: 2019 Dec 1.
Published in final edited form as: IEEE Trans Med Imaging. 2017 Jun 28;37(12):2561–2571. doi: 10.1109/TMI.2017.2721301

Fig. 1: An illustrative comparison between MT-CoReg and CoReg [13].

Fig. 1:

α*, θ* are the ideal regression and canonical vectors for one dataset (M = 2 here). CoReg produces a single solution β, while MT-CoReg estimation is represented by two components α, θ. In this situation, where coefficients between the predictive and cross-correlated components (e.g. first 3 and last 2 features) are different, CoReg fails by trying to simultaneously represent both with a single component. On the other hand, MT-CoReg is flexible enough to properly estimate both components correctly.