Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics
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Publication:3296923
DOI10.1137/18M1231341zbMath1439.35570arXiv1812.02876OpenAlexW3022809987MaRDI QIDQ3296923
Publication date: 2 July 2020
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02876
sensitivity analysisinverse problemsdiffusion equationimage reconstructionacoustic wave equationmodeling erroruncertainty quantificationphotoacoustic tomographyquantitative photoacoustics
Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in optimal control (49N45) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- Quantitative photoacoustic imaging in the radiative transport regime
- Stability for quantitative photoacoustic tomographywith well-chosen illuminations
- Uncertainty propagation using Wiener-Haar expansions
- A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach
- Identification of Bayesian posteriors for coefficients of chaos expansions
- Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
- Elliptic partial differential equations of second order
- Statistical and computational inverse problems.
- Injectivity sets for the Radon transform over circles and complete systems of radial functions
- Photoacoustic and thermoacoustic tomography with an uncertain wave speed
- A family of inversion formulas in thermoacoustic tomography
- Polynomial chaos methods for hyperbolic partial differential equations. Numerical techniques for fluid dynamics problems in the presence of uncertainties
- Sparse grid collocation schemes for stochastic natural convection problems
- Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification
- Photoacoustic Imaging for Attenuating Acoustic Media
- Quantitative Photoacoustic Tomography
- A gradient-based method for quantitative photoacoustic tomography using the radiative transfer equation
- A Hybrid Reconstruction Method for Quantitative PAT
- Quantitative Fluorescence Photoacoustic Tomography
- Thermoacoustic tomography in elastic media
- Inverse problems: A Bayesian perspective
- Multiple illumination quantitative photoacoustic tomography using transport and diffusion models
- Non-uniqueness result for a hybrid inverse problem
- Multiscale Modelling and Inverse Problems
- Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems
- Multi-source quantitative photoacoustic tomography in a diffusive regime
- Mathematical Modeling in Photoacoustic Imaging of Small Absorbers
- Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian Approximations
- An Efficient Neumann Series–Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed
- A Mollification Approach for Inverting the Spherical Mean Radon Transform
- On multi-spectral quantitative photoacoustic tomography in diffusive regime
- A one-step reconstruction algorithm for quantitative photoacoustic imaging
- Inverse transport problems in quantitative PAT for molecular imaging
- Mathematics of thermoacoustic tomography
- Statistical inference for inverse problems
- Uncertainty Quantification for Systems with Random Initial Conditions Using Wiener–Hermite Expansions
- Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm
- Inverse diffusion theory of photoacoustics
- Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
- An efficient Bayesian inference approach to inverse problems based on an adaptive sparse grid collocation method
- A Monomial Chaos Approach for Efficient Uncertainty Quantification in Nonlinear Problems
- Time reversal in thermoacoustic tomography—an error estimate
- Spectral Methods for Uncertainty Quantification
- Fine scale uncertainty in parameter estimation for elliptic equations
- Optical tomography: forward and inverse problems
- Optical tomography in medical imaging
- Nonlinear Quantitative Photoacoustic Tomography with Two-Photon Absorption
- Combining Field Data and Computer Simulations for Calibration and Prediction
- Hierarchical Bayesian models for inverse problems in heat conduction
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Coherent Interferometry Algorithms for Photoacoustic Imaging
- Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements
- A Bayesian approach to spectral quantitative photoacoustic tomography
- Quantitative Photoacoustic Tomography with Piecewise Constant Material Parameters
- Thermoacoustic tomography with variable sound speed
- Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
- Inverse transport theory of photoacoustics
- Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems
- Inversion of Spherical Means and the Wave Equation in Even Dimensions
- Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes
- A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion
- Guest Editors' introduction
- Photoacoustic tomography with a limited-aperture planar sensor and a reverberant cavity
- Multi‐Resolution‐Analysis Scheme for Uncertainty Quantification in Chemical Systems
- Computational Modeling of Uncertainty in Time-Domain Electromagnetics
- Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models
- Filtered backprojection for thermoacoustic computed tomography in spherical geometry
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