# Catalogue of Artificial Intelligence Techniques

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## Regularisation

### Categories: Vision

Author(s): **R.M. Cameron-Jones**

A method, for determining a solution to an ill-posed mathematical problem, by constraining the solution to be, in some sense, regular or smooth. An ill-posed problem is one for which there does not exist a unique stable solution. The best known regularisation method is that of minimising (with respect to the solution sought) a functional which consists of two terms, the first representing the fidelity of the solution to the data, and the second its smoothness using a constraint measure chosen from physical considerations of the original problem.

### References:

- Poggio, T., Torre, V. and Koch, C.,
*Computational Vision and Regularisation Theory*Nature**317**(1985), 314--319.

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