State Trajectory Compression in Optimal Control

  • In optimal control problems with nonlinear time-dependent 3D PDEs, the computation of the reduced gradient by adjoint methods requires one solve of the state equation forward in time, and one backward solve of the adjoint equation. Since the state enters into the adjoint equation, the storage of a 4D discretization is necessary. We propose a lossy compression algorithm using a cheap predictor for the state data, with additional entropy coding of prediction errors. Analytical and numerical results indicate that compression factors around 30 can be obtained without exceeding the FE discretization error.
Author:Sebastian GötschelORCiD, Martin WeiserORCiD
Document Type:Article
Parent Title (English):PAMM
First Page:579
Last Page:580
Year of first publication:2010