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The phrase "a smaller set" is correct and usable in written English.
It can be used when referring to a subset or a reduced collection of items within a larger group.
Example: "In our analysis, we focused on a smaller set of data that was more relevant to our research question."
Alternatives: "a reduced group" or "a limited collection".
Exact(60)
Combine these facets to narrow results to a smaller set.
Rather, they reduce their selection to a smaller set of options, based on experience and exposure.
It may be better to develop a smaller set of strong ties.
Pregnant workers were treated like workers with medical conditions and given a smaller set of accommodations.
Phrases with higher correlations are synthesized into a smaller set of phrases.
Our goal here, in feature selection is to obtain a smaller set of features that accurately represent the original set.
In addition, using a smaller set of these landmarks, we explored the heritability of more traditional distance-based facial traits.
The scheme also chooses a smaller set of parts that needs to be disassembled and determines an economical disassembly process.
A smaller set of airspace restrictions will be put in place from August 16 to September 12 for the Paralympics.
This allows developers to focus their energies on a smaller set of challenges.
A smaller set of metrics is easier to maintain, monitor and manage.
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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