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We present an extensible software framework, hIPPYlib, for solution of large-scale deterministic and Bayesian inverse problems governed by partial differential equations (PDEs) with infinite-dimensional parameter fields (which are high-dimensional after discretization).
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Mitigating the Influence of Boundary Conditions on Covariance Operators Derived from Elliptic PDEs
Yair Daon and Georg Stadler. 2018 · 2018
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Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty
Peng Chen, Umberto Villa, and Omar Ghattas. 2019 · 2019
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hIPPYlib User Manual: Version 2
Umberto Villa, Noemi Petra, and Omar Ghattas. 2020 · 2020
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Randomized algorithms for generalized Hermitian eigenvalue problems with application to computing Karhunen-Loéve expansion
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