The long-term goal is to develop SHM-DL to become capable of identifying a single SHM (or a small group of SHMs) which describe the system so well, i.e. represent the system, such that from the reconstructed SHM(s) time-dependent system evolution in general and other observables can be computed/predicted. This would constitute a physics-rooted form of generalization which delivers at the same time physical insight as it provides an optimal parametrization of a physical system with a Hamilton matrix of chosen size. First attempts are promising that identify SHMs in relation to two-or multidimensional spectroscopy .