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We propose a new regularisation strategy for the classical ensemble Kalman inversion (EKI) framework.
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M. M. Dunlop, M. A. Iglesias, A. M. Stuart, Hierarchical Bayesian level set inversion, Statistics and Computing 27 (6) (2017) 1555–1584 · 2017
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N. K. Chada, M. A. Iglesias, L. Roininen, A. M. Stuart, Parameterizations for ensemble Kalman inversion, Inverse Problems 34 (5) (2018) 055009
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M. A. Iglesias, Iterative regularization for ensemble data assimilation in reservoir models, Computational Geosciences 19 (1) (2014) 177–212
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S. Lasanen, J. M. J. Huttunen, L. Roininen, Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography, Inverse Problems and Imaging 8 (2) (2014) 561–586
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M. A. Iglesias, A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems, Inverse Problems 32 (2) (2016) 025002
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J. B. Muir, V. C. Tsai, Geometric and level set tomography using ensemble Kalman inversion, Geophysical Journal International 220 (2) (2019) 967–980 · 2019
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D. Blömker, C. Schillings, P. Wacker, S. Weissmann, Well posedness and convergence analysis of the ensemble kalman inversion, Inverse Problems 35 (8) (2019) 085007 · 2019
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S. Ruchi, S. Dubinkina, M. A. Iglesias, Transform-based particle filtering for elliptic bayesian inverse problems, Inverse Problems 35 (11) (2019) 115005 · 2019
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N. G. Tawn, G. O. Roberts, Accelerating parallel tempering: Quantile tempering algorithm (quanta), Advances in Applied Probability 51 (3) (2019) 802–834 · 2019
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D. Calvetti, S. Nakkireddy, E. Somersalo, A Bayesian filtering approach to layer stripping for electrical impedance tomography, Inverse Problems 36 (5) (2020) 055014 · 2020
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doi:10.1137/19M1251655
A. Garbuno-Inigo, F. Hoffmann, W. Li, A. M. Stuart, Interacting langevin diffusions: Gradient structure and ensemble Kalman sampler, SIAM Journal on Applied Dynamical Systems 19 (1) (2020) 412–441 · 2020
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S. Dubinkina, S. Ruchi, Comparison of regularized ensemble kalman filter and tempered ensemble transform particle filter for an elliptic inverse problem with uncertain boundary conditions, Computational Geosciences 24 (1) (2020) 149–160 · 2020
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F.-l. Yang, L. Yan, A non-intrusive reduced basis EKI for time fractional diffusion inverse problems, Acta Mathematicae Applicatae Sinica, English Series 36 (1) (2020) 183–202 · 2020
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