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The phrase "ability to correctly classify" is correct and usable in written English.
You can use it when discussing someone's skill or capacity to categorize or identify items, data, or concepts accurately.
Example: "The researcher demonstrated a remarkable ability to correctly classify the various species in the study."
Alternatives: "capacity to accurately categorize" or "skill in proper classification".
Exact(33)
In this paper the performance of several multiple classifier systems are evaluated in terms of their ability to correctly classify consumers as good or bad credit risks.
The mother's perception of the child's weight status is not an influencing factor on the child's ability to correctly classify him/herself, but the child's self-perceived weight status influences the mother's ability to correctly classify the child.
Current nodule management and tracking guidelines reduce the false-positive rates observed in the NLST, but fall short in their ability to correctly classify nodules as benign or malignant.
The performance of the prediction algorithm on the constructed knowledge graph was assessed in 3 ways: 1) ability to correctly classify the known causes of each ADR, 2) ability to predict (replace) edges deleted from the graph, 3) ability to predict ADRs not present in the graph but observed in EHRs.
To determine whether alterations to the Balance Error Scoring System (BESS), such as modified conditions and/or instrumentation, would improve the ability to correctly classify traumatic brain injury (TBI) status in patients with mild TBI with persistent self-reported balance complaints.
In this study, specificity represents the ability to correctly classify the samples belonging to a positive emotion; sensitivity represents the ability to correctly classify the samples belonging to a negative emotion.
Similar(27)
We compared our PBM model with seven other methods that predict affinities of TF binding to given sequences, and the different methods are evaluated using areas under the ROC curve (AUC) as a measure of their abilities to correctly classify the two sets of sequences (see Methods, Supplementary Results in Additional file 1 and Figure S1 therein for details).
The AUC presents a measurement of discrimination, that is, the ability of the model to correctly classify the onset of MOH.
Area under the ROC curve is a measurement of discrimination, that is, the ability of the model to correctly classify the onset of medication-overuse headache.
We then tested the ability of these features to correctly classify case and control subjects.
Specificity is the ability of the metric to correctly classify as unexposed those who are unexposed.
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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