Approximate inverse for linear and some nonlinear problems
AK Louis - Inverse problems, 1996 - iopscience.iop.org
In this paper we present a method for solving problems such as Af= g by constructing an
approximate inverse which maps the data g to a regularized solution of this equation of the …
approximate inverse which maps the data g to a regularized solution of this equation of the …
[图书][B] Inside out: inverse problems and applications
G Uhlmann - 2003 - books.google.com
Inverse problems arise in practical situations like geophysical exploration, medical imaging,
and nondestructive evaluation, where measurements made on the exterior of a body are …
and nondestructive evaluation, where measurements made on the exterior of a body are …
Inverse problems light: numerical differentiation
M Hanke, O Scherzer - The American Mathematical Monthly, 2001 - Taylor & Francis
2. SETTING OF THE PROBLEM. Suppose y= y (x) is a smooth function on 0≤ x≤ 1 and
noisy samples yi of the values y (xi) are known at the points of a uniform grid={0= x0< x1<···< …
noisy samples yi of the values y (xi) are known at the points of a uniform grid={0= x0< x1<···< …
The Bayesian approach to inverse problems
M Dashti, AM Stuart - arXiv preprint arXiv:1302.6989, 2013 - arxiv.org
These lecture notes highlight the mathematical and computational structure relating to the
formulation of, and development of algorithms for, the Bayesian approach to inverse …
formulation of, and development of algorithms for, the Bayesian approach to inverse …
[图书][B] Bayesian approach to inverse problems
J Idier - 2013 - books.google.com
Many scientific, medical or engineering problems raise the issue of recovering some
physical quantities from indirect measurements; for instance, detecting or quantifying flaws …
physical quantities from indirect measurements; for instance, detecting or quantifying flaws …
Statistical regularization of inverse problems
L Tenorio - SIAM review, 2001 - SIAM
In experimental sciences we often need to solve inverse problems. That is, we want to obtain
information about the internal structure of a physical system from indirect noisy observations …
information about the internal structure of a physical system from indirect noisy observations …
Obtaining smooth solutions to large, linear, inverse problems
JC VanDecar, R Snieder - Geophysics, 1994 - library.seg.org
It is not uncommon now for geophysical inverse problems to be parameterized by 10 4 to 10
5 unknowns associated with upwards of 10 6 to 10 7 data constraints. The matrix problem …
5 unknowns associated with upwards of 10 6 to 10 7 data constraints. The matrix problem …
[图书][B] The method of approximate inverse: theory and applications
T Schuster - 2007 - Springer
Many questions and applications in natural science, engineering, industry or medical
imaging lead to inverse problems, that is: given some measured data one tries to recover a …
imaging lead to inverse problems, that is: given some measured data one tries to recover a …
[图书][B] An introduction to data analysis and uncertainty quantification for inverse problems
L Tenorio - 2017 - SIAM
Roughly speaking, to solve an inverse problem is to recover an object (eg, parameter or
function) from noisy (typically indirect) observations. In most cases such recovery cannot be …
function) from noisy (typically indirect) observations. In most cases such recovery cannot be …