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The phrase "able to perfectly classify" is correct and usable in written English.
It can be used in contexts where you want to describe the capability of accurately categorizing or identifying items, data, or information.
Example: "The new algorithm is able to perfectly classify the images into their respective categories, improving the accuracy of our data analysis."
Alternatives: "capable of accurately categorizing" or "able to flawlessly identify".
Exact(1)
The model using month 0 gene expression to predict CID at 6 months for RF− patients was able to perfectly classify the 9 samples in the test group (Table 1).
Similar(59)
Being able to perfectly spell her name forwards and backwards.
In the real world, central banks are not able to perfectly identify threatening credit-market developments.
Neither are they able to perfectly craft a regulatory or monetary-policy response.
Because of delays nodes are no longer able to perfectly align their reference instants [7].
First, no experimental model of emphysema is able to perfectly reproduce all features of human emphysema.
However, in this cognitive process, the SU will not be able to perfectly detect the idle/occupied frequency slot.
The phase compensation of the equalizer is thus not able to perfectly correct the PA phase distortion.
In most cases, we assume that the submitted fix at the first attempt is able to perfectly remove the faults.
"What's really amazing is to be able to perfectly frame the photo..
"You were somehow able to perfectly duplicate exactly what he did," she says.
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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