# Optimum Experimental Design for Interface Identification Problems

@article{Etling2018OptimumED, title={Optimum Experimental Design for Interface Identification Problems}, author={Tommy Etling and Roland Herzog and Martin Siebenborn}, journal={SIAM J. Sci. Comput.}, year={2018}, volume={41}, pages={A3498-A3523} }

The identification of the interface of an inclusion in a diffusion process is considered. This task is viewed as a parameter identification problem in which the parameter space bears the structure of a shape manifold. A corresponding optimum experimental design (OED) problem is formulated in which the activation pattern of an array of sensors in space and time serves as experimental condition. The goal is to improve the estimation precision within a certain subspace of the infinite dimensional…

## One Citation

### First-Order Methods for Optimal Experimental Design Problems with Bound Constraints

- MathematicsArXiv
- 2020

This framework comprises optimal experimental design problems, in which the measure over the design space indicates which experiments are being selected, and considers two first-order methods including FISTA and a proximal extrapolated gradient method, along with suitable stopping criteria.

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INTRODUCTION The Optimum Experimental Design Problem in Context A General Overview of Literature KEY IDEAS OF IDENTIFICATION AND EXPERIMENTAL DESIGN System Description Parameter Identification…