25 citations · 29 across the 6 of their papers we have counts for
4 papers · 1 filter
A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives
Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros
We propose and analyze a numerical algorithm for solving a class of optimal control problems for learning-informed semilinear partial differential equations. The latter is a class…
A Parallel Technique for Multi-objective Bayesian Global Optimization: Using a Batch Selection of Probability of Improvement
Kaifeng Yang, Guozhi Dong, Michael Affenzeller
Bayesian global optimization (BGO) is an efficient surrogate-assisted technique for problems involving expensive evaluations. A parallel technique can be used to parallelly evaluat…
First-order conditions for the optimal control of learning-informed nonsmooth PDEs
Guozhi Dong, Michael Hintermüller, Kostas Papafitsoros +1
In this paper we study the optimal control of a class of semilinear elliptic partial differential equations which have nonlinear constituents that are only accessible by data and a…
Second-order flows for computing the ground states of rotating Bose-Einstein condensates
Haifan Chen, Guozhi Dong, Wei Liu +1
Second-order flows in this paper refer to some artificial evolutionary differential equations involving second-order time derivatives distinguished from gradient flows which are co…