Geophysical inverse problems can be posed as the minimization of an objective function where one term (ϕ[sub d]) is a data misfit function and another (ϕ[sub m]) is a model regularization. In current practice, ϕ[sub m] is posed as a mathematical operator that potentially includes limited prior information on the model, m. This research focusses on the specification of learned forms of <pm from information on the model contained in a training set, M[sub T]. This is accomplished via three routes: probabilistic, deterministic (model based) and the Haber- Tenorio (HT) algorithm. In order to adopt a pure probabilistic method for finding a learned ϕ[sub m], equivalence between Gibbs distributions and Markov random fields is established. As a resu...
Monte Carlo inversion techniques were first used by Earth scientists more than 30 years ago. Since t...
International audienceInverse modeling of geophysical data involves the recovery of a subsurface str...
This thesis introduce a new parameterization of the model space in global inversion problems. The pa...
Inverse problems arise in many applications in science and engineering. They are characterized by th...
A strategy is presented to incorporate prior information from conceptual geological models in probab...
The vast majority of the Earth system is inaccessible to direct observation. Consequently, the struc...
In geophysical inversion the model parameterisation, the number of unknown the level of smoothing a...
Many geophysical inverse problems are ill-posed leading to non-uniqueness of the solution. It is thu...
A large number of signal recovery problems are not well-posed-if not ill-posed-that require extra re...
International audienceRegularization is necessary for solving nonlinear ill-posed inverse problems a...
International audienceWe investigate the use of learning approaches to handle Bayesian inverse probl...
International audienceA goal of geophysical inversion is to identify all models which give an accept...
For highly structured subsurface, the use of strong prior information in geophysical inversion produ...
Most linear inverse problems require regularization to ensure that robust and meaningful solutions c...
The overall goal of the book is to provide access to the regularized solution of inverse problems re...
Monte Carlo inversion techniques were first used by Earth scientists more than 30 years ago. Since t...
International audienceInverse modeling of geophysical data involves the recovery of a subsurface str...
This thesis introduce a new parameterization of the model space in global inversion problems. The pa...
Inverse problems arise in many applications in science and engineering. They are characterized by th...
A strategy is presented to incorporate prior information from conceptual geological models in probab...
The vast majority of the Earth system is inaccessible to direct observation. Consequently, the struc...
In geophysical inversion the model parameterisation, the number of unknown the level of smoothing a...
Many geophysical inverse problems are ill-posed leading to non-uniqueness of the solution. It is thu...
A large number of signal recovery problems are not well-posed-if not ill-posed-that require extra re...
International audienceRegularization is necessary for solving nonlinear ill-posed inverse problems a...
International audienceWe investigate the use of learning approaches to handle Bayesian inverse probl...
International audienceA goal of geophysical inversion is to identify all models which give an accept...
For highly structured subsurface, the use of strong prior information in geophysical inversion produ...
Most linear inverse problems require regularization to ensure that robust and meaningful solutions c...
The overall goal of the book is to provide access to the regularized solution of inverse problems re...
Monte Carlo inversion techniques were first used by Earth scientists more than 30 years ago. Since t...
International audienceInverse modeling of geophysical data involves the recovery of a subsurface str...
This thesis introduce a new parameterization of the model space in global inversion problems. The pa...