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The phrase "an initial set" is correct and usable in written English.
It can be used when referring to a starting collection or group of items, ideas, or data points in various contexts, such as research, projects, or discussions.
Example: "We will begin our analysis with an initial set of data collected from the first survey."
Alternatives: "a preliminary group" or "a starting collection".
Exact(60)
This group has also proposed an initial set of goals.
The system returns an initial set of retrieval results.
Care must be taken in selecting an initial set of parameter values.
The teams began by attempting to identify an initial set of bots in the data.
FA is employed to extract the underlying latent factors using an initial set of affective dimensions.
One of the outcomes of this study is an initial set of generic functional scenarii.
Most notably, the Kilobots require no micromanagement or intervention once an initial set of instructions has been delivered.
(3) Full datset (initial release): we provide an initial set of shapes that contain the full information about the dataset.
When constructing an initial set of clusters, this procedure explicitly addresses the tradeoff between exploiting parallelism and incurring communication cost.
Minimizing efforts to define an initial set of policies.
As with Android, Web Intents documents an initial set of intent actions (edit, view, share, etc).
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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