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[Solved]: Machine Learning algorithms based on "structural risk minimization"?

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Problem Detail: 

Which machine learning algorithms (besides SVM's) use the principle of structural risk minimization?

Asked By : Classifire

Answered By : jmad

The structural risk minimization principle is a principle that is at least partly 'used' in all machine learning methods, since overfitting is often to be taken into account: reducing the complexity of the model is (supposedly and in practice) a good way to limit overfitting.

  • SVMs explicitly have a parameter for the complexity (the dimension of the feature space, or even the kernel function) and it's necessary because increasing the complexity is a part of the learning algorithm.

  • Neuronal networks also have a easy indicator of their complexity (number of 'cells') and is part of the associated learning algorithm.

  • Without this principle grammar inference would be both stupid and perfect grammar is the list of all possible words, so every non-trivial algorithm at least acknowledges this principle.

  • Decision trees have their own notion of entropy.

  • Clusters can be simply counted or kind of 'use' the principle intrinsically or have a fixed number of clusters and in that case you apply the principle at a higher level.

To be perfectly honest I don't really know about what happens in genetic programming but they don't have an intrinsic notion of complexity.

I don't know well Inductive logic programming but it doesn't seem to scale very well to this principle.

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Question Source : http://cs.stackexchange.com/questions/2006

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