Abstract: This disclosure relates to a method for chilling down a cryogenic fluid supply circuit comprising a step of acquiring a state value of the cryogenic fluid supply circuit at a current time, a step of computing a corresponding opening time of each out of one or more valves of the cryogenic fluid supply circuit, and a step of opening each valve at the corresponding time to chill down the cryogenic fluid supply circuit. The step of computing is carried out by a computer applying an artificial neural network to compute a sequence of opening of the valves making it possible to reach, starting from the state value of the cryogenic fluid supply circuit at the current time, a state of the cryogenic fluid supply circuit meeting one or more predetermined chill down criteria at a predetermined time in the future.