References
Y. Marzouk, T. Moselhy, M. Parno and A. Spantini. Sampling via Measure Transport: An Introduction. In: Handbook of Uncertainty Quantification, edited by R. Ghanem, D. Higdon and H. Owhadi (Springer International Publishing, Cham, 2016); pp. 1–41.
M. Ramgraber, D. Sharp, M. L. Provost and Y. Marzouk. A Friendly Introduction to Triangular Transport (Mar 2025), arXiv:2503.21673 [stat].
R. Baptista, Y. Marzouk and O. Zahm. On the Representation and Learning of Monotone Triangular Transport Maps. Foundations of Computational Mathematics (2023).
J. Grashorn, M. Broggi, L. Chamoin and M. Beer. Efficiency Comparison of MCMC and Transport Map Bayesian Posterior Estimation for Structural Health Monitoring. Mechanical Systems and Signal Processing 216, 111440 (2024).
M. Rosenblatt. Remarks on a multivariate transformation. The annals of mathematical statistics 23, 470–472 (1952).
H. Knothe. Contributions to the theory of convex bodies. The Michigan Mathematical Journal 4, 39–52 (1957).
M. Parno, P.-B. Rubio, D. Sharp, M. Brennan, R. Baptista, H. Bonart and Y. Marzouk. MParT: Monotone Parameterization Toolkit. Journal of Open Source Software 7, 4843 (2022).
B. Zanger, O. Zahm, T. Cui and M. Schreiber. Sequential Transport Maps Using SoS Density Estimation and
-Divergences (Oct 2024), arXiv:2402.17943 [stat]. G. Dalle and A. Hill. A Common Interface for Automatic Differentiation (2025), arXiv:2505.05542 [cs].
B. Sudret. Global Sensitivity Analysis Using Polynomial Chaos Expansions. Reliability Engineering & System Safety 93, 964–979 (2008).
D. Xiu and G. E. Karniadakis. The Wiener–Askey Polynomial Chaos for Stochastic Differential Equations. SIAM Journal on Scientific Computing 24, 619–644 (2002).
N. Lüthen, S. Marelli and B. Sudret. Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark. SIAM/ASA Journal on Uncertainty Quantification 9, 593–649 (2021).
A. B. Sullivan, D. M. Snyder and S. A. Rounds. Controls on biochemical oxygen demand in the upper Klamath River, Oregon. Chemical Geology 269, 12–21 (2010).