This course aims to teach Probabilistic Numerical Methods for providing a richer, probabilistic quantification of numerical errors in output, enhancing tools for reliable statistical inference. The course covers topics such as reference priors for solving differential equations, heavy-tailed stable distributions for uncertainty quantification, statistical estimation with multi-resolution operator decompositions, and probabilistic numerical methods as Bayesian inversion methods. The teaching method includes a panel discussion. The intended audience for this course is analysts and professionals seeking to improve the accuracy and robustness of numerical predictions in mathematical models.
Overview
Syllabus
Introductions
Yousef Mizuki
Tim Sullivan
Question
Discussion
Taught by
Alan Turing Institute