General Statement of The Problem
The objective of an inverse problem is to find the best model such that (at least approximately)
where is an operator describing the explicit relationship between the observed data, and the model parameters. In various contexts, the operator is called forward operator, observation operator, or observation function. In the most general context, G represents the governing equations that relate the model parameters to the observed data (i.e. the governing physics).
Read more about this topic: Inverse Problems
Famous quotes containing the words general, statement and/or problem:
“To judge from a single conversation, he made the impression of a narrow and very English mind; of one who paid for his rare elevation by general tameness and conformity. Off his own beat, his opinions were of no value.”
—Ralph Waldo Emerson (1803–1882)
“Truth is used to vitalize a statement rather than devitalize it. Truth implies more than a simple statement of fact. “I don’t have any whisky,” may be a fact but it is not a truth.”
—William Burroughs (b. 1914)
“If a problem is insoluble, it is Necessity. Leave it alone.”
—Mason Cooley (b. 1927)