Title | ||
---|---|---|
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty |
Abstract | ||
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•A computational framework to solve PDE-constrained optimization under uncertainty.•Exploring the intrinsic dimensionality of the control objective in parameter space.•Taylor approximation based control variate for variance reduction.•Lagrangian formulation for eigenvalue problem constrained optimization. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1016/j.jcp.2019.01.047 | Journal of Computational Physics |
Keywords | Field | DocType |
PDE-constrained optimal control,Taylor approximation,Variance reduction,Scalability,Uncertainty quantification,High dimensionality | Discretization,Randomized algorithm,Effective dimension,Mathematical optimization,Optimal control,Control variates,Hessian matrix,Variance reduction,Mathematics,Taylor series | Journal |
Volume | ISSN | Citations |
385 | 0021-9991 | 1 |
PageRank | References | Authors |
0.37 | 19 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Peng Chen | 1 | 57 | 6.49 |
Umberto Villa | 2 | 30 | 6.64 |
Omar Ghattas | 3 | 697 | 61.43 |