The forward and inverse problems
Basis mapping methods for forward and inverse problems
... and inverse problems. In the numerical solution of inverse problems, a continuous scalar or vector field over a domain may be represented in different finite- dimensional basis approximations, ...
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Random forward models and log-likelihoods in Bayesian inverse problems
... randomised forward models and log-likelihoods within the Bayesian approach to inverse ...exact forward model or log-likelihood arise naturally when a computationally expensive model is approxi- mated ...
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A deep learning perspective of the forward and inverse problems in exploration geophysics
... major problems remain in the implementation of FWI using adjoint ...the inverse Hessian using stored models and gradients at previous iterations (Nocedal and Wright, ...
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Variational regularisation for inverse problems with imperfect forward operators and general noise models
... In this work we have proven convergence rates in Bregman distances for variational regular- isation in Banach lattices for problems with imperfect forward operators and general fidelity.[r] ...
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The numerical solution of forward and inverse Robin problems for Laplace’s equation
... parabolic inverse robin prob- lems. The solution of an inverse problem usually depends upon a forward solver that is capable of expanding upon the current state to assess whether it can be proved ...
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Aspects of Bayesian inverse problems
... We can now formulate the following guidelines for applying the theory pre- sented in the present chapter: we work in a separable Hilbert space X with an orthonormal basis {ψ j } j∈ N and we have some prior knowledge ...
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The effects of parametrization on inverse problems
... a forward solution of each model to obtain ...The forward solution was modified by then randomly adding or subtracting a number between zero and one of the three noise ...the inverse problem ...
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The Bayesian approach to inverse problems
... quantification problems arising in the sciences and engineering require the incorporation of data into a model; indeed doing so can significantly reduce the uncertainty in model predictions and is hence a very ...
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Data Assimilation and Inverse Problems
... good forward model will not only identify how the data is dependent on parameters, but also what sources of noise or model uncertainty are present in the postulated relationship between forward model and ...
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Forward and inverse problem of Hermitian systems in C2.
... periodic problems relating to their discriminants of Hermitian systems with integrable poten- tials, and Chapter 9 is a uniqueness result for a Clifford quasiperiodic problem with an integrable ...
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Bayesian inverse problems with partial observations
... the forward problem, since it helps to obtain a smooth ...of inverse problems it leads to a difficulty in recovery of the original signal f , since information on it is washed out by ...of ...
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Meta-learning for Solving Inverse Problems
... These forward processes are mostly non-invertible which make inverse problem ill-posed - given one measurement and without any prior information of the signal, there are numerous possible solutions that can ...
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Inverse Problems of Matrix Data Reconstruction
... MIN-HSIUNG. Inverse Problems of Matrix Data ...an inverse problem. While in a forward problem the concern usually is to express the behavior of a certain physical system in terms of its system ...
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On the Forward and Inverse Computational Wave Propagation Problems.
... Assuming the idealized case of uniform nodal spacing on subdomain boundaries, to have at least two elements per wavelength, the maximum possible wavenumber of interface waves based on the problem discretization is max ...
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CUDA Parallel Algorithms for Forward and Inverse Structural Gravity Problems
... Abstract. This paper describes usage of CUDA parallelization scheme for forward and inverse gravity problems for structural boundaries. For- ward problem is calculated using the finite elements ...
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Modified forward and inverse Born series for the Calderon and diffuse-wave problems
... the forward series converges regardless of the value of the contrast ...modified inverse Born series compares favorably with that of the usual Born ...
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Forward and inverse analysis of chemical transport models
... aerosol inverse modeling these assump- tions may not be ...Overall, inverse aerosol problems are likely to be ill-conditioned due to the model resolution in the size domain being much more refined ...
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Computational inverse problems
... The covariance of the noise indicates that the components of Y are contaminated by independent and identically distributed Gaussian random variables of variance σ 2... In.[r] ...
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Inverse Problems for Dummies
... SVD and ill-posedness We’ll show what went wrong here by analyzing the singular value decomposition of a matrix describing an arbitrary ill-posed linear inverse problem and take a look at the statistical ...
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Computational inverse problems
... Now, it follows from the Central Limit Theorem that as θ increases, the sum of the sub-counts approaches a normally distributed variable with mean and variance θ.... Let us test this hyp[r] ...
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