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Dynamic Emission Tomography— Regularization and Inversion
Dynamic Emission Tomography Regularization Inversion
2015/7/10
The problem of emission tomography, inverting the attenuated Radon transform, is moderately ill-posed if the unknown emission source is static. Here we consider the case where the emission source is d...
Laplace Inversion of Low-Resolution NMR Relaxometry Data Using Sparse Representation Methods
low-resolution NMR sparse reconstruction
2015/7/3
Low-resolution nuclear magnetic resonance (LR-NMR) relaxometry is a
powerful tool that can be harnessed for characterizing constituents in complex materials.
A diffusion equation for the density of the ratio of Gaussian variables and the numerical inversion of Laplace transform
parabolic equations random matrices kernel estimation
2011/3/21
It is shown that the density of the ratio of two Gaussian random variables with the same variance satisfies a non stationary diffusion equation. Implications of this result for kernel density estimati...
Testing Gaussian sequences and asymptotic inversion of Toeplitz operators
Testing Gaussian sequences asymptotic inversion Toeplitz operators
2009/9/23
Testing Gaussian sequences and asymptotic inversion of Toeplitz operators。
On Paul Lévy's arc sine law and Shiga-Watanabe's time inversion result
Paul Lévy's arc sine law Shiga-Watanabe's time inversion result
2009/9/22
Let ((XJ,P) be a symmetric real-valued H-self-similar
diffusion starting at 0. We characterize the distributions of A,, the time
spent on (0, a) before time t, and a,, the time of the last visit to
...
Discretization-invariant Bayesian inversion and Besov space priors
Inverse problem statistical inversion Bayesian inversion discretizationinvariance reconstruction wavelet
2010/3/17
Bayesian solution of an inverse problem for indirect measurement M =
AU +E is considered, where U is a function on a domain of Rd. Here A is a smoothing
linear operator and E is Gaussian white noise...