$l_p$ Regularization for Ensemble Kalman Inversion
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Publication:5157836
DOI10.1137/20M1365168zbMath1487.65062arXiv2009.03470MaRDI QIDQ5157836
Publication date: 20 October 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.03470
Monte Carlo methods (65C05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) PDEs in connection with control and optimization (35Q93) PDE constrained optimization (numerical aspects) (49M41)
Related Items (6)
Adaptive Tikhonov strategies for stochastic ensemble Kalman inversion ⋮ Localized ensemble Kalman inversion ⋮ Component-wise iterative ensemble Kalman inversion for static Bayesian models with unknown measurement error covariance ⋮ Hierarchical ensemble Kalman methods with sparsity-promoting generalized gamma hyperpriors ⋮ Iterative ensemble Kalman methods: a unified perspective with some new variants ⋮ Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data
Cites Work
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- Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation
- A mathematical introduction to compressive sensing
- Enhancing sparsity by reweighted \(\ell _{1}\) minimization
- Catastrophic filter divergence in filtering nonlinear dissipative systems
- A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
- Ensemble Kalman methods for inverse problems
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- Sparse and Redundant Representations
- Acceleration of Stochastic Approximation by Averaging
- Learning partial differential equations via data discovery and sparse optimization
- Tikhonov Regularization within Ensemble Kalman Inversion
- Ensemble Kalman inversion: a derivative-free technique for machine learning tasks
- Modern regularization methods for inverse problems
- Analysis of the Ensemble Kalman Filter for Inverse Problems
- Bayesian Inverse Problems with $l_1$ Priors: A Randomize-Then-Optimize Approach
- The ensemble Kalman filter for combined state and parameter estimation
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