Reports:
- Please hand in the reports before the 31st of March 2024.
- The report should be roughly six pages long.
Topics:
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Design of experiments for X-ray tomography
Two topics available:
- Paper 1: https://arxiv.org/abs/2006.12579
- Paper 2: https://arxiv.org/abs/2104.00301 -
Bayesian inversion using alpha-stable priors
- Paper: https://doi.org/10.1088/1361-6420/acf154 -
Analytic and Gevrey class regularity for PDE uncertainty quantification
- Paper: https://arxiv.org/pdf/2309.17397.pdf
Note that this topic can be divided into a theoretical part and a numerical part, which can be studied separately. -
Well-posedness of Bayesian inverse problems:
https://ui.adsabs.harvard.edu/abs/2019arXiv190210257L/abstract
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(Bayesian) Probabilistic numerical methods
main paper: https://epubs.siam.org/doi/10.1137/17M1139357
additional: https://projecteuclid.org/journals/bayesian-analysis/volume-14/issue-3/A-Bayesian-Conjugate-Gradient-Method-with-Discussion/10.1214/19-BA1145.full
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Kernel Stein Discrepancy and Stein Variational Gradient Descent
https://proceedings.mlr.press/v48/liub16.html
https://proceedings.mlr.press/v48/chwialkowski16.html
https://proceedings.neurips.cc/paper_files/paper/2016/hash/b3ba8f1bee1238a2f37603d90b58898d-Abstract.html
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Diffusion models (taken by Charlotte, literature will come soon)
- Particle methods for design of experiment https://www.tandfonline.com/doi/pdf/10.1198/016214505000001159
- Bayesian optimization with discrete variables https://arxiv.org/pdf/2210.10199.pdf
- Bayesian optimization in high dimensions https://ml.informatik.uni-freiburg.de/wp-content/uploads/papers/13-IJCAI-BO-highdim.pdf