An important problem in the context of spectra generated by XFEL double pulses is the delay between the pulses which jitters in an unknown way from shot to shot. The SHM-DL approach can extract the timedelay of a double-pulse from the spectrum it has generated. Importantly, we can sort single-shot noisy spectra according to the time-delay of the double pulse with which the spectra were generated. With a second network the time-delay sorted pulses, binned over small delay intervals (1fs) can be purified as shown in Figure . This constitutes a substantial generalization to predict a hidden parameter (the timedelay of the pulses) . The task the SHM-DL has successfully completed so far, is the mapping of spectra generated by noisy pulses to spectra generated by Gaussian (Fourier limited) pulses. Can we also predict via SHM-DL maps spectra for other clean pulse forms, e.g., for pulse forms which are not even realizable experimentally? This would be very interesting for systems whose response to light cannot be computed (too complicated) but measured, e.g., with noisy pulses as described, since with SHM-DL we do not need to compute the "true" spectrum of the desired system.