Dong, Guozhi

1. A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives
   2022/10/14 by Guozhi Dong, Michael Hintermüller, Dong, Guozhi +3 · 3 citations
   Physics and Astronomy · Computer Science · #Model Reduction and Neural Networks #Neural Networks and Applications #Machine Learning and ELM
2. Optimization with learning-informed differential equation constraints and its applications
   2020/08/25 by Guozhi Dong, Dong, Guozhi, Michael Hintermueller +3 · 1 citation
   Engineering · Mathematics · Physics and Astronomy · #35J61 #49M15 #65J15 #65J20 #65K10 #68T07 #90C30 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC)
3. First-order conditions for the optimal control of learning-informed nonsmooth PDEs
   2022/06/01 by Guozhi Dong, Dong, Guozhi, Michael Hintermüller +5 · 1 citation
   Computer Science · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
4. Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces
   2024/06/24 by Dong, Guozhi, Guo, Hailong, Jiang, Chengrun +1 · 1 citation
   #49M41 #65M22 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
5. Accelerated gradient flows for large bending deformations of nonlinear plates
   2024/02/19 by Dong, Guozhi, Guo, Hailong, Yang, Shuo · 1 citation
   #35Q90 #65K10 #65N12 #74K20 #FOS: Mathematics #Numerical Analysis (math.NA)
6. Data-driven methods for quantitative imaging
   2024/04/11 by Dong, Guozhi, Flaschel, Moritz, Hintermüller, Michael +3 · 1 citation
   #FOS: Mathematics #Optimization and Control (math.OC)
7. BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization
   2024/09/23 by Dong, Guozhi, Gong, Zikang, Xie, Ziqing +1 · 1 citation
   #65B99 #65K10 #65M15 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
8. Quantitative Magnetic Resonance Imaging: From Fingerprinting to Integrated Physics-Based Models
   2019/03/28 by Dong, Guozhi, Hintermüller, Michael, Papafitsoros, Kostas · 1 citation
   #49K40 #49M15 #65J15 #65J20 #65J22 #FOS: Mathematics #Optimization and Control (math.OC)