for comparison, the same propagation with our previous AI-QD approach takes ca. 2 min on the same machine (single core of Intel(R) Core(TM) i7-10700 CPUs @ 2.90 GHz). Such a tremendous speed-up in propagating quantum dynamics owes to the parallel computation of all time-steps. In contrast to single-time-step ML-based approaches where the entire ML architecture is invoked for each time-step, in our proposed OSTL multi-time-steps output approach, only the output layer is different for each time-step. In addition, because of the , where the initial excitation is on site-6 and other parameters are γ = 75, λ = 40, T = 290. We compare our results to the reference LTLME method (dots). In our calculations, γ and λ are considered in the units of cm -1 , while T is in the units of K.