Transfer learning nonlinear plasma dynamic transitions in low dimensional embeddings via deep neural networks

Deep learning algorithms provide a new paradigm to study high-dimensional dynamical behaviors, such as those in fusion plasma systems. Development of novel, data-driven model reduction methods, coupled with detection of abnormal modes with plasma physics, opens a unique opportunity to identify plasma instabilities through automated construction of parsimonious models that can be tuned to balance accuracy and cost. Our fusion transfer learning (FTL) model demonstrates success in rapidly reconstructing nonlinear kink mode structures by learning from a limited amount of nonlinear simulation data. The knowledge transfer process leverages a pre-trained neural encoder–decoder network, initially trained on linear simulations, to effectively capture nonlinear dynamics. The low-dimensional embeddings extract the coherent structures of interest, while preserving the inherent dynamics of the complex system. Experimental results highlight FTL’s capacity to capture transitional behaviors and dynamical features in plasma dynamics—a task often challenging for conventional methods. The model developed in this study is generalizable and can be extended broadly through transfer learning to address various magnetohydrodynamics modes.. Authors: Bai, Zhe [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000230920903); Wei, Xishuo [University of California, Irvine, CA (United States)] (ORCID:0000000174860407); Tang, William [Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton University, Princeton, NJ (United States)] (ORCID:0000000282113636); Oliker, Leonid [Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)] (ORCID:0000000279232896); Lin, Zhihong [University of California, Irvine, CA (United States)] (ORCID:0000000320078983). DOE Contract: AC02-05CH11231; AC02-09CH11466. Subjects: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; bifurcation; embeddings; model order reduction; nonlinear dynamics; plasma physics; transfer learning