Uncertainty quantification and inference with application to model-based medical diagnosis. Possible research topics include (1) the development of ensemble finite element solvers on CPU/GPU for cardiovascular hemodynamics (MPI/openCL); (2) development of multi-fidelity Monte Carlo estimators for quantifying uncertainty in large computational models; (3) integration of computational models in Bayesian network-based inference; (4) Variational inference and normalizing flow for expensive computational models.

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