@article{PlockHammerschmidtBurgeretal., author = {Plock, Matthias and Hammerschmidt, Martin and Burger, Sven and Schneider, Philipp-Immanuel and Sch{\"u}tte, Christof}, title = {Impact Study of Numerical Discretization Accuracy on Parameter Reconstructions and Model Parameter Distributions}, series = {Metrologia}, volume = {60}, journal = {Metrologia}, doi = {10.1088/1681-7575/ace4cd}, pages = {054001}, abstract = {In optical nano metrology numerical models are used widely for parameter reconstructions. Using the Bayesian target vector optimization method we fit a finite element numerical model to a Grazing Incidence x-ray fluorescence data set in order to obtain the geometrical parameters of a nano structured line grating. Gaussian process, stochastic machine learning surrogate models, were trained during the reconstruction and afterwards sampled with a Markov chain Monte Carlo sampler to determine the distribution of the reconstructed model parameters. The numerical discretization parameters of the used finite element model impact the numerical discretization error of the forward model. We investigated the impact of the polynomial order of the finite element ansatz functions on the reconstructed parameters as well as on the model parameter distributions. We showed that such a convergence study allows to determine numerical parameters which allows for efficient and accurate reconstruction results.}, language = {en} } @inproceedings{PlockBurgerSchneider, author = {Plock, Matthias and Burger, Sven and Schneider, Philipp-Immanuel}, title = {Efficient reconstruction of model parameters using Bayesian target-vector optimization}, series = {Proc. SPIE}, volume = {PC12619}, booktitle = {Proc. SPIE}, doi = {10.1117/12.2673590}, pages = {PC1261905}, language = {en} } @article{PlockAndrleBurgeretal., author = {Plock, Matthias and Andrle, Kas and Burger, Sven and Schneider, Philipp-Immanuel}, title = {Bayesian Target-Vector Optimization for Efficient Parameter Reconstruction}, series = {Adv. Theory Simul.}, volume = {5}, journal = {Adv. Theory Simul.}, doi = {10.1002/adts.202200112}, pages = {2200112}, language = {en} } @misc{PlockAndrleBurgeretal., author = {Plock, Matthias and Andrle, Kas and Burger, Sven and Schneider, Philipp-Immanuel}, title = {Research data and example scripts for the paper "Bayesian Target-Vector Optimization for Efficient Parameter Reconstruction"}, series = {Zenodo}, journal = {Zenodo}, doi = {10.5281/zenodo.6359594}, language = {en} } @article{PlockBurgerSchneider, author = {Plock, Matthias and Burger, Sven and Schneider, Philipp-Immanuel}, title = {Recent advances in Bayesian optimization with applications to parameter reconstruction in optical nano-metrology}, series = {Proc. SPIE}, volume = {11783}, journal = {Proc. SPIE}, doi = {10.1117/12.2592266}, pages = {117830J}, language = {en} }