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Based on least-squares theory, a minimizing problem can be defined, which aims to find in order to minimize the cost function. The *L*_{2} norm or cost function definition is given by
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(29) |

In order to constrain the inverse problem, or to use some prior information to bound the solution of the inverse problem, regularization is commonly used. In this case, the cost function needs to be modified.

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Stanford Exploration Project

11/1/2005