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Darcy flow in random porous medium
Bayesian Inversion, Bayesian optimal experimental design, hierarchical and sparse approximation, Hierarchical regression, Low-rank approximation, Monte carlo methods, Multi-index, Multilevel Monte Carlo, Quasi-Monte Carlo, Random PDEs, stochastic algorithms, Stochastic collocation, Teaching
Teaching
Teaching
Species count mRNA, proteins, dimers - jump processes
data assimilation, Filtering theory, Importance sampling, Monte carlo methods, stochastic algorithms, Stochastic Methods, Stochastic Modeling, Stochastic Optimal Control, Stochastic processes, Variance Reduction, Teaching
Teaching
Illustration weak approximation SDE
Fokker-Planck equations, Hamilton-Jabobi-Bellman, Importance sampling, Ito integral, Kolmogorov Backward Equation, Monte Carlo, Multilevel Monte Carlo, stochastic differential equations, Stochastic Optimal Control, Variance Reduction, Teaching