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Feature standarization in linera regression as a menas of optimization preconditioning

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feature_standarization

Feature standarization in linera regression as a menas of optimization preconditioning

The following naive example may serve as an illustration (alternative to majority of the examples I found) of the benefits of feature standardization in machine learning, whilst at the same time, giving a rough intuition behind the concept of preconditioning, which is of course, a more complex and sophisticated mathematical tool.  From now on, we will be working on an standard linear regression problem, but instead of using a closed form solution (the clever thing to do), we will try an iterative method (that seems for instance much like brute force): stochastic vanilla gradient descent algorithm.

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Feature standarization in linera regression as a menas of optimization preconditioning

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