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PartVII Regularizationand model selection - Machine learning

CS229 Lecture notes Andrew Ng Part VII. Regularization and model selection Suppose we are trying to select among several different models for a learning problem. For instance, we might be using a polynomial regression model h (x) = g( 0 + 1 x + 2 x2 + + k xk ), and wish to decide if k should be 0, 1, .. , or 10. How can we automatically select a model that represents a good tradeoff between the twin evils of bias and variance1 ? Alternatively, suppose we want to automatically choose the bandwidth parameter for locally weighted regression, or the parameter C for our 1 -regularized SVM. How can we do that? For the sake of concreteness, in these notes we assume we have some finite set of models M = {M1 , .. , Md } that we're trying to select among. For instance, in our first example above, the model Mi would be an i-th order polynomial regression model . (The generalization to infinite M is not ) Alternatively, if we are trying to decide between using an SVM, a neural network or logistic regression, then M may contain these models.

CS229Lecturenotes Andrew Ng PartVII Regularizationand model selection Suppose we are trying to select among several different models for a learning

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