Nonlinear Parametric Inversion Using Interpolatory Model Reduction
From MaRDI portal
Publication:5264141
DOI10.1137/130946320zbMath1433.65194arXiv1311.0922OpenAlexW3104287114MaRDI QIDQ5264141
Christopher A. Beattie, Misha E. Kilmer, Serkan Gugercin, Eric De Sturler, Saifon Chaturantabut, Meghan O'Connell
Publication date: 20 July 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.0922
rational interpolationmodel reductionmedical image reconstructiondiffuse optical tomography (DOT)PaLSnonlinear parametric inverse problems
Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) Iterative numerical methods for linear systems (65F10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items
Randomized approaches to accelerate MCMC algorithms for Bayesian inverse problems, Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction, An online coupled state/input/parameter estimation approach for structural dynamics, An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations, Infinite GMRES for Parameterized Linear Systems, Multimodal 3D Shape Reconstruction under Calibration Uncertainty Using Parametric Level Set Methods, A multiscale method for model order reduction in PDE parameter estimation, Randomized Approach to Nonlinear Inversion Combining Random and Optimized Simultaneous Sources and Detectors, Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography, A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions, \(\mathcal{H}_2(t_f)\) optimality conditions for a finite-time horizon, A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems, $\mathcal{H}_2$-Optimal Model Reduction Using Projected Nonlinear Least Squares
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inexact solves in interpolatory model reduction
- Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems
- Recycling Krylov subspaces for efficient large-scale electrical impedance tomography
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips
- On level set regularization for highly ill-posed distributed parameter estimation problems
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Solution of the Time-Domain Inverse Resistivity Problem in the Model Reduction Framework Part I. One-Dimensional Problem with SISO Data
- Accelerating Optimization of Parametric Linear Systems by Model Order Reduction
- A model reduction approach to numerical inversion for a parabolic partial differential equation
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Parametric Level Set Methods for Inverse Problems
- Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition
- Computational Inverse Techniques in Nondestructive Evaluation
- Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system
- An Online Method for Interpolating Linear Parametric Reduced-Order Models
- Interpolatory Projection Methods for Parameterized Model Reduction
- A Regularized Gauss–Newton Trust Region Approach to Imaging in Diffuse Optical Tomography
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Interpolatory Model Reduction of Large-Scale Dynamical Systems
- Interpolation among reduced‐order matrices to obtain parameterized models for design, optimization and probabilistic analysis
- A ‘best points’ interpolation method for efficient approximation of parametrized functions
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
- Medical imaging: state of the art and future development
- Optical tomography in medical imaging
- A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations
- On optimization techniques for solving nonlinear inverse problems
- Model Reduction of MIMO Systems via Tangential Interpolation
- Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
- Computational Methods for Inverse Problems
- Linear and nonlinear inversion algorithms applied in nondestructive evaluation
- A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching
- Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
- Dynamic level set regularization for large distributed parameter estimation problems
- Proper orthogonal decomposition for optimality systems
- Level set methods for inverse scattering
- Approximation of Large-Scale Dynamical Systems
- A survey on level set methods for inverse problems and optimal design
- Scattered Data Approximation
- Inverse and crack identification problems in engineering mechanics
