Neural network topological snake models for locating general phase diagrams

Machine learning for locating phase diagram has received intensive research interest in recent years. However, its application in automatically locating phase diagram is limited to single closed phase boundary. In this paper, in order to locate phase diagrams with multiple phases and complex boundaries, we introduce (i) a network-shaped snake model and (ii) a topologically transformable snake with discriminative cooperative networks, respectively. The phase diagrams of both quantum and classical spin-1 model are obtained. Our method is flexible to determine the phase diagram with just snapshots of configurations from the cold-atom or other experiments.