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Update Issues with covaraince matrix authored by Soumen Roy's avatar Soumen Roy
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Issues-with-covaraince-matrix.md
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...@@ -132,6 +132,8 @@ We can see from the above plots that the difference of norms of $`\Sigma(k)\Sigm ...@@ -132,6 +132,8 @@ We can see from the above plots that the difference of norms of $`\Sigma(k)\Sigm
the spread of the difference of norms. The spread is basically the standard deviation of this quantity. the spread of the difference of norms. The spread is basically the standard deviation of this quantity.
<img src="uploads/e40fad036f1eb14b88dc87c04afbef4a/envelop_gw190412_1_.png" width="440" > <img src="uploads/e40fad036f1eb14b88dc87c04afbef4a/envelop_gw190412_1_.png" width="440" >
<img src="uploads/dd1bd047ce590f34750ae7e8f1803acc/envelop_gw190814.png" width="440" >
The quantity $`\mu(k)`$ is the mean of the difference of norms and $`\sigma(k)`$ is the standard deviation. The quantity $`\mu(k)`$ is the mean of the difference of norms and $`\sigma(k)`$ is the standard deviation.
The 10 largest likelihood samples are chosen to compute the spread. We can find the k_max for which the distance between these two curves along the y-axis is greater than a threshold, approximately O(1e-7). The 10 largest likelihood samples are chosen to compute the spread. We can find the k_max for which the distance between these two curves along the y-axis is greater than a threshold, approximately O(1e-7).
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