5 papers
Dynamical feedback control with operator learning for the Vlasov-Poisson system
Jingcheng Lu, Li Wang, Jeff Calder
To meet the demands of instantaneous control of instabilities over long time horizons in plasma fusion, we design a dynamic feedback control strategy for the Vlasov-Poisson system…
Equivariant neural networks and equivarification
Erkao Bao, Jingcheng Lu, Linqi Song +3
Equivariant neural networks are a class of neural networks designed to preserve symmetries inherent in the data. In this paper, we introduce a general method for modifying a neural…
Controlling instability in the Vlasov-Poisson system through moment-based optimization
Jingcheng Lu, Li Wang, Jeff Calder
Controlling instability in plasma is one of the central challenges in fusion energy research. Among the various sources of instability, kinetic effects play a significant role. In…
Continuous data assimilation for hydrodynamics: consistent discretization and application to moment recovery
Jingcheng Lu, Kunlun Qi, Li Wang +1
Motivated by the challenge of moment recovery in hydrodynamic approximation in kinetic theory, we propose a data-driven approach for the hydrodynamic models. Inspired by continuous…
Attraction-Repulsion Swarming: A Generalized Framework of t-SNE via Force Normalization and Tunable Interactions
Jingcheng Lu, Jeff Calder
We propose a new method for data visualization based on attraction-repulsion swarming (ARS) dynamics, which we call ARS visualization. ARS is a generalized framework that is based…