Before revision:  This realization provides possibilities for new  algorithmic approaches to both Koopman mode decomposition and tensor component analysis, new insight into what is being captured by the tensor component analysis modes, and a "bridge" with which the two communities can more effectively communicate .
After revision:  This realization provides possibilities for new algorithmic approaches to both Koopman mode decomposition and tensor component analysis, provides a new perspective on the success of tensor component analysis modes, and a "bridge" with which the two communities can more effectively communicate .