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Covariance is a quantity used to measure the strength and direction of the linear relationship between two variables. The covariance is unscaled, & thus often difficult to interpret; when scaled by the variables' SDs, it becomes Pearson's correlation coefficient.

5 votes
3 answers
11k views

Gaussian Process covariance matrix gets zero determinant

Can someone see a problem in the covariance matrix composition that leads to such behaviour? … My Covariance matrix looks like this: $$ \begin{pmatrix} K(X,X) & K(X_*,X) \\ K(X, X_*) & K(X_*,X_*) \end{pmatrix} $$ …
Andreas's user avatar
  • 461
4 votes
1 answer
9k views

Problem with singular covariance matrices when doing Gaussian process regression

My problem: Most of the covariance functions I use result in a singular covariance matrix which is not invertible. … Shouldn't the proposed covariance functions/estimators produce only invertible matrices? Are there methods or hints for regularizing the matrices? …
Andreas's user avatar
  • 461