Inverse Problem - General Statement of The Problem

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 Problem

Famous quotes containing the words general, statement and/or problem:

    What use Milton, a silly story
    Of our lost general parents,
    eaters of fruit?
    Gary Snyder (b. 1930)

    The parent is the strongest statement that the child hears regarding what it means to be alive and real. More than what we say or do, the way we are expresses what we think it means to be alive. So the articulate parent is less a telling than a listening individual.
    Polly Berrien Berends (20th century)

    The government is huge, stupid, greedy and makes nosy, officious and dangerous intrusions into the smallest corners of life—this much we can stand. But the real problem is that government is boring. We could cure or mitigate the other ills Washington visits on us if we could only bring ourselves to pay attention to Washington itself. But we cannot.
    —P.J. (Patrick Jake)