Introduction to Gaussian Process Regression in Bayesian Inverse Problems, with New Results on Experimental Design for Weighted Error Measures

Author:

Helin Tapio,Stuart Andrew M.,Teckentrup Aretha L.,Zygalakis Konstantinos C.

Publisher

Springer International Publishing

Reference47 articles.

1. Arcangéli, R., López de Silanes, M.C., Torrens, J.J.: Extension of sampling inequalities to Sobolev semi-norms of fractional order and derivative data. Numerische Mathematik. 121(3), 587–608 (2012)

2. Bai, T., Teckentrup, A.L., Zygalakis, K.C.: Gaussian processes for Bayesian inverse problems associated with linear partial differential equations. arXiv:2307.08343

3. Briol, F.X., Oates, C.J., Cockayne, J., Chen, W.Y., Girolami, M.: On the sampling problem for kernel quadrature. In: International Conference on Machine Learning, pp. 586–595. PMLR (2017)

4. Bui-Thanh, T., Willcox, K., Ghattas, O.: Model reduction for large-scale systems with high-dimensional parametric input space. SIAM J. Sci. Comput. 30(6), 3270–88 (2008)

5. Calvetti, D., Dunlop, M., Somersalo, E., Stuart, A.: Iterative updating of model error for Bayesian inversion. Inverse Prob. 34(2), 025008 (2018)

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