搜索结果: 1-11 共查到“知识库 数学 inverse problems”相关记录11条 . 查询时间(0.13 秒)
Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization
2015/8/21
We consider a model problem of recovering a function f(x1; x2) from noisy Radon
data. The function f to be recovered is assumed smooth apart from a discontinuity
along a C2 curve { i.e. an edge. We ...
WAVELET SHRINKAGE FOR CORRELATED DATA AND INVERSE PROBLEMS: ADAPTIVITY RESULTS
Adaptation correlated data fractional brownian motion
2015/8/20
Johnstone and Silverman (1997) described a level-dependent thresholding
method for extracting signals from correlated noise. The thresholds were chosen
to minimize a data based unbiased risk criteri...
Waves in weakly random media:lecture notes for the Vienna Inverse Problems school
weakly random media Vienna Inverse Problems
2015/7/14
Wave propagation in complex media is an ubiquitous phenomenon–applications include light propagation through the atmosphere, underwater acoustic, tomography, and innumerable other ones. These problems...
Bayesian inverse problems with non-conjugate priors
Rate of contraction posterior distribution nonparametric hypothesis testing.
2012/11/23
We investigate the frequentist posterior contraction rate of nonparametric Bayesian procedures in linear inverse problems in both the mildly and severely ill-posed cases. A theorem is proved in a gene...
Bayes procedures for adaptive inference in nonparametric inverse problems
Bayes procedures adaptive inference nonparametric inverse problems
2012/11/22
We study empirical and hierarchical Bayes approaches to the problem of estimating an infinite-dimensional parameter in mildly ill-posed inverse problems. We consider a class of prior distributions ind...
The Convex Geometry of Linear Inverse Problems
Convex optimization semidefinite programming atomic norms
2011/1/17
In applications throughout science and engineering one is often faced with the challenge of
solving an ill-posed inverse problem, where the number of available measurements is smaller
than the dimen...
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimensi...
Let W be a complete local commutative Noetherian ring with residue field k of positive characteristic p. We study the inverse problem for the versal deformation rings RW(, V )
relative to W...
Regularization of statistical inverse problems and the Bakushinskii veto
statistical inverse problems the Bakushinskii veto
2010/11/22
In the deterministic context Bakushinskii's theorem excludes the existence of purely data driven convergent regularization for ill-posed problems. We will prove in the present work that in the statist...
The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initi...
Examples of nonuniqueness for an inverse problems of geophysics
nonuniqueness inverse problems geophysics
2010/11/1
The inverse problem of finding the velocity profile from the surface measurements of acoustic field is considered. The dimensionalities of the data and of the unknown velocity profile are equal, both ...