@@ -38,13 +38,13 @@ The above plot shows the array of the eigenvalues. This plot indicates that the
## GW190814
First, we demonstrate an example from the GW190814 event to find an appropriate cut-off on the low-rank approximation of the covariance matrix, and its effect on $`\beta`$. We choose top 5 [PE samples](https://ldas-jobs.ligo.caltech.edu/~charlie.hoy/PE/O3/S190814bv/C01/SEOBNRv4HM/samples/SEOBNRv4HM_pesummary.dat)(largest likelihood values ) and plot $`\beta`$ as a function of the rank of the covariance matrix.
@@ -57,12 +57,12 @@ We can see that the median $`\beta`$ (black trace) saturates after a certain num
A similar plot for the GW190412 event (top 5 [PE samples](https://git.ligo.org/pe/O3/S190412m/-/blob/master/Preferred/dat/M4-PhenomHM_pesummary.dat)) is given below, and we see that in this case, the plateau occurs once we use the top-350 eigenvectors to approximate the covariance matrix. In this case, the Frobenius norm of the residuals is 3.5e-10.
