Relation To Probabilistic Formulation
The probabilistic formulation of an inverse problem introduces (when all uncertainties are Gaussian) a covariance matrix representing the a priori uncertainties on the model parameters, and a covariance matrix representing the uncertainties on the observed parameters (see, for instance, Tarantola, 2004 ). In the special case when these two matrices are diagonal and isotropic, and, and, in this case, the equations of inverse theory reduce to the equations above, with .
Read more about this topic: Tikhonov Regularization
Famous quotes containing the words relation to, relation and/or formulation:
“The difference between objective and subjective extension is one of relation to a context solely.”
—William James (1842–1910)
“The adolescent does not develop her identity and individuality by moving outside her family. She is not triggered by some magic unconscious dynamic whereby she rejects her family in favour of her peers or of a larger society.... She continues to develop in relation to her parents. Her mother continues to have more influence over her than either her father or her friends.”
—Terri Apter (20th century)
“Art is an experience, not the formulation of a problem.”
—Lindsay Anderson (b. 1923)