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The two distributions (correct boundary position (matched value) and other points of the sequence (no-matched value)) are partially overlapping due to the low SNR level; therefore, the two distributions cannot be fully distinguished.
The warning means that the new degap lookup table does not have a matched value for the given raw coordinate which most likely is out of the boundary.
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The encrypted data points of matched values are returned as the query response, R, to the user (Line 17).
P values were determined using Student's t-test or Wilcoxon test for nonparametric matched values.
Site matched values of tissue stiffness (elastic modulus) and MD from Calc3 and Calc4 are cross-plotted in Figure 8d.
Initially, Miss algorithm has a parameter called match which is matching value between two taxonomy trees.
If there is no missing tree, then the missing value is equal to matching value such that for any β value the combined formula is equal to matching value only (see Eq. 2).
The generalized formula uses the missing value always less than or equal to matching value such that it gives a resultant similarity which is less than or equal to the matching value between two taxonomy trees.
If β<1, then matching value has more importance; and if β>1, then the missing value has more importance.
If there is any missing tree, then the missing value is less than the matching value such that the combined formula reduces its similarity when compared to matching value.
Note that it gives a small similarity as node equality to avoid zero matching value because of multiplication of recursive algorithm in case if all sub-trees matching value is zero.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com