randomize-then-optimize

[1] Bardsley, J. M., Cui, T., Marzouk, Y. M., & Wang, Z. (2020). Scalable optimization-based sampling on function space. SIAM Journal on Scientific Computing, 42(2), A1317–A1347. https://doi.org/10.1137/19M1245220

[2] Bardsley, J. M., & Cui, T. (2021). Optimization-based Markov chain Monte Carlo methods for nonlinear hierarchical statistical inverse problems. SIAM/ASA Journal on Uncertainty Quantification, 9(1), 29–64. https://doi.org/10.1137/20M1318365