搜索结果: 1-8 共查到“理论统计学 Inverse Problems”相关记录8条 . 查询时间(1.145 秒)
Besov priors for Bayesian inverse problems
Bayesian inverse problems Fernique-like theorem
2011/6/16
We consider the inverse problem of estimating a function u from
noisy, possibly nonlinear, observations. We adopt a Bayesian approach to the
problem and widen the existing theory, which is developed...
A Threshold Regularization Method for Inverse Problems
Inverse problems regularization oracle inequalities hard thresholding
2011/6/16
A number of regularization methods for discrete inverse problems consist in considering weighted versions of the usual least square solution. However, these so-called filter methods are generally res...
The Convex Geometry of Linear Inverse Problems
Optimization and Control (math.OC) Statistics Theory (math.ST)
2010/12/17
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 dimensi...
Empirical risk minimization in inverse problems
Deconvolution empirical risk minimization multivariate density estimation nonparametric function estimation Radon transform tomography
2010/3/9
We study estimation of a multivariate function f :Rd
!R when
the observations are available from the function Af, where A is a
known linear operator. Both the Gaussian white noise model and
densit...
Minimax Signal Detection in Ill-Posed Inverse Problems
Minimax Signal Detection Ill-Posed Inverse Problems
2010/3/9
We consider the signal detection problem for mildly, severely and extremely
ill-posed inverse problems with Sobolev, analytic and generalized analytic classes
of functions under the Gaussian white n...
Importance Re-sampling MCMC for Cross-Validation in Inverse Problems
Cross-validation Inverse Importance Re-sampling Model fit Re-use
2009/9/22
This paper presents a methodology for cross-validation in the context of Bayesian
modelling of situations we loosely refer to as iverse problems It is motivated by
an example from palaeoclimatology ...
Quadratic functional estimation in inverse problems
Gaussian sequence model inverse problem minimax upper bounds parametric rate Pinsker estimator projection estimator
2010/3/18
We consider in this paper a Gaussian sequence model of observations Yi, i ≥ 1
having mean (or signal) θi and variance σi which is growing polynomially like i
,γ > 0. This model describes a large pan...
Needlet algorithms for estimation in inverse problems
statistical inverse problems minimax estimation second-generation wavelets
2010/4/29
We provide a new algorithm for the treatment of inverse problems
which combines the traditional SVD inversion with an appropriate
thresholding technique in a well chosen new basis. Our goal is to de...