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"based on the correlation" is a correct and usable phrase in written English.
It is typically used when referring to a relationship or connection between two things or ideas. Example: The study concluded that there is a strong positive correlation between exercise and improved mental health, based on the correlation between increased physical activity and reduced levels of stress and anxiety.
Exact(60)
The correlated or compensatory evolution was estimated based on the correlation coefficient of the substitution vectors.
Genes correlated to each cell lineage trajectory were identified based on the correlation of >0.90.
This analysis is based on the correlation between recent dollar moves and the stock and bond markets.
Then, we sort the metrics based on the correlation degree.
Indicators ranking based on the correlation of rates of growth. .
Based on the correlation between the rows, the overall computational time can be greatly eliminated.
Moreover, the value L is chosen based on the correlation characteristic of the channel frequency response.
2.6 was computed based on the correlation of all genes in the coronal set.
In addition, based on the correlation of degradation levels and ages by Moore et al.
Thus, the added copula density function should be constructed based on the correlation matrix.
Several algorithms discussed in this paper are based on the correlation matrix of the observed data.
More suggestions(20)
based on the interdependence
used on the correlation
based on the relevance
based on the interaction
based on the alignment
based on the interplay
based on the relationship
based on the correlative
assessed on the correlation
based on the link
based on the proportion
based on the interrelationship
based on the articulation
imposed on the correlation
based on the concordance
based on the biography
based on the leader
based on the translation
based on the book
based on the play
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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