نتائج البحث

The Bayesian Approach to Inverse Problems

• Authors : Dashti, Masoumeh; Stuart, Andrew M.;

Subjects: Inverse problems; Bayesian inversion; Tikhonov regularization and MAP estimators

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Geometric MCMC for Infinite-Dimensional Inverse Problems

• Authors : Beskos, Alexandros; Girolami, Mark; Lan, Shiwei

Subjects: Markov chain Monte Carlo; Local preconditioning; Infinite dimensions

• Source: Journal of Computational Physics, 335, 327-351, (2017-04-15)

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Analysis of the ensemble Kalman filter for inverse problems

• Authors : Schillings, Claudia; Stuart, Andrew M.

Subjects: Bayesian Inverse Problems; Ensemble Kalman Filter; Optimization

• Source: SIAM Journal on Numerical Analysis, 55(3), 1264-1290, (2017-05-25)

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Filter Based Methods For Statistical Linear Inverse Problems

• Authors : Iglesias, Marco A.; Lin, Kui; Lu, Shuai

Subjects: Kalman filter; 3DVAR; statistical inverse problems

• Source: Communications in Mathematical Sciences, 15(7), 1867-1896, (2017)

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Iterated Kalman methodology for inverse problems

• Authors : Huang, Daniel Zhengyu; Schneider, Tapio; Stuart, Andrew M.

Subjects: Inverse problem; Derivative-free optimization; Extended Kalman methods

• Source: Journal of Computational Physics, 463, Art. No. 111262, (2022-08-15)

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A Bayesian Level Set Method for Geometric Inverse Problems

• Authors : Iglesias, Marco A.; Lu, Yulong; Stuart, Andrew M.

Subjects: Inverse problems; Bayesian level set method; Markov chain Monte Carlo (MCMC)

• Source: Interfaces and Free Boundaries, 18(2), 181-217, (2016)

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Besov priors for Bayesian inverse problems

• Authors : Dashti, Masoumeh; Harris, Stephen J.; Stuart, Andrew

Subjects: nverse problems; Bayesian approach; Besov measures

• Source: Inverse Problems and Imaging, 6(2), 183-200, (2012-05)

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Well-posed Bayesian geometric inverse problems arising in subsurface flow

• Authors : Iglesias, Marco A.; Lin, Kui; Stuart, Andrew M.

Subjects: Bayesian inverse problems; geometric priors; subsurface flow

• Source: Inverse Problems, 30(11), Art. No. 114001, (2014-11)

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Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems

• Authors : Agapiou, Sergios; Larsson, Stig; Stuart, Andrew M.

Subjects: posterior consistency; posterior contraction; Gaussian prior

• Source: Stochastic Processes and their Applications, 123(10), 3828-3860, (2013-10)

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Second Order Ensemble Langevin Method for Sampling and Inverse Problems

• Authors : Liu, Ziming; Stuart, Andrew M.; Wang, Yixuan

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