“…With the advent of ultrafast X-ray free-electron lasers (XFELs), time-resolved single-particle-imaging experiments are more and more addressing ultrafast phenomena in physical or chemical processes within nanoparticles, such as melting, driven fluctuations, etc. (Clark et al, 2013;Gomez et al, 2014;Rupp et al, 2017;Rose et al, 2018;Ihm et al, 2019;Wen et al, 2019;Sobolev et al, 2020;Mudrich et al, 2020). These experiments would benefit enormously from the development of a fast and reliable phase-retrieval method to reconstruct live images of particles in real time during the execution of these time-resolved experiments.…”