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The unscented Kalman inversion (UKI) method presented in [1] is a general derivative-free approach for the inverse problem.
A new approach to linear filtering and prediction problems
Rudolph Emil Kalman · 1960
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Numerical simulation of three-dimensional homogeneous isotropic turbulence
Steven A Orszag and GS Patterson Jr · 1972
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Numerical analysis of blood flow in the heart
Charles S Peskin · 1977
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Kalman filtering: theory and application
Harold Wayne Sorenson · 1985
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Introduction to seismic inversion methods
Brian H Russell · 1988
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Training multilayer perceptrons with the extended kalman algorithm
Sharad Singhal and Lance Wu · 1989
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Local adaptive mesh refinement for shock hydrodynamics
Marsha J Berger, Phillip Colella, et al · 1989
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Decoupled extended kalman filter training of feedforward layered networks
Gintaras V Puskorius and Lee A Feldkamp · 1991
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Sequential data assimilation with a nonlinear quasi-geostrophic model using monte carlo methods to forecast error statistics
Geir Evensen · 1994
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Multiscale seismic waveform inversion
Carey Bunks, Fatimetou M Saleck, S Zaleski, and G Chavent · 1995
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A new approach for filtering nonlinear systems
Simon J Julier, Jeffrey K Uhlmann, and Hugh F Durrant-Whyte · 1995
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Quasi-linear geostatistical theory for inversing
Peter K Kitanidis · 1995
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Regularization of inverse problems
Heinz Werner Engl, Martin Hanke, and Andreas Neubauer · 1996
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Conditioning permeability fields to pressure data
Dean S Oliver, Nanqun He, and Albert C Reynolds · 1996
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Weak convergence and optimal scaling of random walk metropolis algorithms
Andrew Gelman, Walter R Gilks, and Gareth O Roberts · 1997
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Wald lecture: On the bernstein-von mises theorem with infinite-dimensional parameters
David Freedman et al · 1999
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Adaptive proposal distribution for random walk metropolis algorithm
Heikki Haario, Eero Saksman, and Johanna Tamminen · 1999
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The unscented kalman filter for nonlinear estimation
Eric A Wan and Rudolph Van Der Merwe · 2000
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Asymptotic statistics
Aad W Van der Vaart · 2000
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An ensemble adjustment kalman filter for data assimilation
Jeffrey L Anderson · 2001
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Adaptive sampling with the ensemble transform kalman filter. part i: Theoretical aspects
Craig H Bishop, Brian J Etherton, and Sharanya J Majumdar · 2001
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An adaptive metropolis algorithm
Heikki Haario, Eero Saksman, Johanna Tamminen, et al · 2001
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A comparison of breeding and ensemble transform kalman filter ensemble forecast schemes
Xuguang Wang and Craig H Bishop · 2003
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Electrical impedance tomography using the extended kalman filter
Flávio Celso Trigo, Raul Gonzalez-Lima, and Marcelo Britto Passos Amato · 2004
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Assessing the uncertainty in reservoir description and performance predictions with the ensemble kalman filter
Mohammad Zafari, Albert Coburn Reynolds, et al · 2005
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Statistical and computational inverse problems
Jari Kaipio and Erkki Somersalo · 2006
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Sequential monte carlo samplers
Pierre Del Moral, Arnaud Doucet, and Ajay Jasra · 2006
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The ensemble kalman filter for continuous updating of reservoir simulation models
Yaqing Gu and Dean S Oliver · 2006
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Spectral methods for time-dependent problems
Jan S Hesthaven, Sigal Gottlieb, and David Gottlieb · 2007
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Cubature kalman filters
Ienkaran Arasaratnam and Simon Haykin · 2009
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Earth system modeling 2.0: A blueprint for models that learn from observations and targeted high-resolution simulations
Tapio Schneider, Shiwei Lan, Andrew Stuart, and Joao Teixeira · 2017
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Analysis of the ensemble kalman filter for inverse problems
Claudia Schillings and Andrew M Stuart · 2017
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Gaussian approximations for probability measures on rˆd
Yulong Lu, Andrew Stuart, and Hendrik Weber · 2017
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Simulation of parachute inflation dynamics using an eulerian computational framework for fluid-structure interfaces evolving in high-speed turbulent flows
Zhengyu Huang, Philip Avery, Charbel Farhat, Jason Rabinovitch, Armen Derkevorkian, and Lee D Peterson · 2018
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A family of position-and orientation-independent embedded boundary methods for viscous flow and fluid–structure interaction problems
Daniel Z Huang, Dante De Santis, and Charbel Farhat · 2018
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The ensemble kalman filter for combined state and parameter estimation
Geir Evensen · 2009
Cited alongside, same era.
Ensemble samplers with affine invariance
Jonathan Goodman and Jonathan Weare · 2010
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Ensemble randomized maximum likelihood method as an iterative ensemble smoother
Yan Chen and Dean S Oliver · 2012
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Progress towards a cartesian cut-cell method for viscous compressible flow
Marsha Berger and Michael Aftosmis · 2012
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Asymptotics in statistics: some basic concepts
Lucien Le Cam and Grace Lo Yang · 2012
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Global optimization methods in geophysical inversion
Mrinal K Sen and Paul L Stoffa · 2013
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Convergence analysis of ensemble kalman inversion: the linear, noisy case
Claudia Schillings and Andrew M Stuart · 2018
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Kinetic methods for inverse problems
Michael Herty and Giuseppe Visconti · 2018
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High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit–explicit runge–kutta schemes
Daniel Z Huang, P-O Persson, and Matthew J Zahr · 2019
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The gfdl global ocean and sea ice model om4. 0: Model description and simulation features
Alistair Adcroft, Whit Anderson, V Balaji, Chris Blanton, Mitchell Bushuk, Carolina O Dufour, John P Dunne, Stephen M Griffies, Robert Hallberg, Matthew J Harrison, et al · 2019
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Mesh adaptation framework for embedded boundary methods for computational fluid dynamics and fluid-structure interaction
Raunak Borker, Daniel Huang, Sebastian Grimberg, Charbel Farhat, Philip Avery, and Jason Rabinovitch · 2019
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Improve unscented kalman inversion with low-rank approximation and reduced-order model
Daniel Z Huang and Jiaoyang Huang · 2020
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Calibration and uncertainty quantification of convective parameters in an idealized gcm
Oliver RA Dunbar, Alfredo Garbuno-Inigo, Tapio Schneider, and Andrew M Stuart · 2020
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Learning constitutive relations from indirect observations using deep neural networks
Daniel Z Huang, Kailai Xu, Charbel Farhat, and Eric Darve · 2020
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A computationally tractable framework for nonlinear dynamic multiscale modeling of membrane fabric
Philip Avery, Daniel Z Huang, Wanli He, Johanna Ehlers, Armen Derkevorkian, and Charbel Farhat · 2020
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Learned convex regularizers for inverse problems
Subhadip Mukherjee, Sören Dittmer, Zakhar Shumaylov, Sebastian Lunz, Ozan Öktem, and Carola-Bibiane Schönlieb · 2020
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High-order partitioned spectral deferred correction solvers for multiphysics problems
Daniel Z Huang, Will Pazner, Per-Olof Persson, and Matthew J Zahr · 2020
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Modeling, simulation and validation of supersonic parachute inflation dynamics during mars landing
Daniel Z Huang, Philip Avery, Charbel Farhat, Jason Rabinovitch, Armen Derkevorkian, and Lee D Peterson · 2020
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An embedded boundary approach for resolving the contribution of cable subsystems to fully coupled fluid-structure interaction
Daniel Z Huang, Philip Avery, and Charbel Farhat · 2020
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Marco Iglesias and Yuchen Yang · 2020
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Iterative ensemble kalman methods: A unified perspective with some new variants
Neil K Chada, Yuming Chen, and Daniel Sanz-Alonso · 2020
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Interacting langevin diffusions: Gradient structure and ensemble kalman sampler
Alfredo Garbuno-Inigo, Franca Hoffmann, Wuchen Li, and Andrew M Stuart · 2020
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Daniel Z Huang, Tapio Schneider, and Andrew M Stuart · 2021
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Learning constitutive relations using symmetric positive definite neural networks
Kailai Xu, Daniel Z Huang, and Eric Darve · 2021
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