The Department of Mathematics, The Chinese University of Hong Kong invites the application for one full time PhD under the supervision of Prof. Bangti Jin, starting from August 1, 2023. The project is to investigate deep neural networks for solving inverse problems associated with partial differential equations, with a focus on developing efficient numerical algorithms and/or providing theoretical guarantees. The specific inverse problems of interest include electrical impedance tomography, current density impedance imaging and conductivity imaging from partial interior data. The topics deal with the development and application of neural networks and their integration to inverse problems, and the main tasks include 

1) conduct numerical experiments on model inverse problems  

2) conduct preliminary theoretical analysis of the algorithm, e.g., generalization error analysis 

3) perform comparative study with traditional methods 

The deadline for the application is April 25, 2023, and the application and questions on the position should be directed to Bangti Jin (b.jin@cuhk.edu.hk).