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Mar
18
comment The multiple regression model - The minimum sum of squares
The `rank' of M is a scalar. Intuitively it is the size of the basis of independent vectors used to describe M. You come to this conclusion by realizing that M = M dot M.
Mar
18
comment The multiple regression model - The minimum sum of squares
M = (I − X(X′X)^{−1}X′)
Mar
17
answered The multiple regression model - The minimum sum of squares
Jan
26
answered classifiers providing probability of being correct
Jun
8
revised Neural networks vs support vector machines: are the second definitely superior?
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Jun
8
answered Neural networks vs support vector machines: are the second definitely superior?
Apr
27
awarded  Supporter
Mar
4
comment How to know when to stop reducing dimensions with PCA?
Right you're very correct. It is highly dependent on that assumption. Discarding any of the nonsingular eigenvectors requires making assumptions about the manifold that the data lies in. If there isn't a extreme class imbalance then it is reasonable to assume that a low-dimensional manifold will describe the relevant signal.
Mar
3
awarded  Teacher
Mar
3
revised How to know when to stop reducing dimensions with PCA?
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Mar
3
awarded  Editor
Mar
3
revised How to know when to stop reducing dimensions with PCA?
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Mar
3
answered How to know when to stop reducing dimensions with PCA?
Mar
2
awarded  Student
Mar
2
asked Graphical nominal model