Before revision:  We compare GATE with tensor PCA and other competitors through simulations and applications to data from the Human Connectome Project (HCP)  .
After revision:  We compare GATE with tensor PCA and other competitors through simulations and applications to data from the Human Connectome Project (HCP) for adults, to understand the structural brain connectome and its relationship with cognition. Numerical results demonstrate huge advantages of GATE over competitors in terms of prediction accuracy, statistical inference and computing efficiency. We found that structural connectomes have a stronger association with a wide range of human cognitive traits than was apparent using previous approaches .