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2) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] The sample covariance matrix in the above expression naturally does not have to be handled as a full matrix - in order to evaluate the cost function, we can just keep the covariance in "ensemble form" [X.
An absolute index tests how well the model covariance matrix reproduces the sample covariance matrix while an incremental index tests the fit of the hypothesized model as compared to a baseline model.
Therefore, the sample covariance matrix (SCM) estimated from N data snapshots R = 1/N [N.