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Another potential limitation is that one needs to invert a p× p covariance matrix Σ x, whereas its sample estimator is not invertible when p exceeds the sample size n.
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Therefore, we need to invert A, which is only invertible if the above condition is met.
Clos's framing of the problem can be synthesised like this: we need to invert the way we view the relationship between economic development and good cities.
Perhaps we need to invert the conventional wisdom and declare as "representative" those midcentury novels criticizing domesticity and celebrating independent women — books like Fanny Fern's "Ruth Hall," published in 1854, and E.D.E.N.
Foucault, however, suggests the need to invert this Kantian move.
Then the pseudo-inversion technique, needed to invert the transfer system, is reviewed.
The information needed to invert back the marked media should be stored during the reversible embedding.
In seismic waveform inversion, if we have no information on source signature, we need to invert seismic data and source signature either simultaneously or successively.
This eliminates the need to invert any matrices and also requires only part of the data to be available at one particular time.
This is needed to invert the matrices and compute the Mahalanobis distances that we use for the data assignment to the clusters.
Regarding the cases of larger condition numbers, ACDC LU + is more superior since it does not need to invert the highly ill-conditioned matrix.
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