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"agnostic approach" is a correct and usable phrase in written English.
It is typically used to describe an approach or perspective that is unbiased or neutral, especially in regards to a controversial topic or belief. Example: "The scientist took an agnostic approach towards the theory, acknowledging the evidence but refraining from making a definitive conclusion."
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Nobody asked me, but I'm taking an agnostic approach for now.
Experimental results show significant improvements over a state-of-the-art discourse agnostic approach.
Carla Vernón, marketing director for General Mills cereal, said taking a "brand agnostic" approach was suited to social media.
Richard Reeves at the Demos thinktank says: "We need an agnostic approach to ownership and our thinking needs to be more eclectic and imaginative".
We're hoping to adopt this platform agnostic approach to many more types of our content in the future, so watch this space.
Thus, GWAS have been labeled as a "hypothesis-free" or "agnostic" approach, overcoming the obstacles imposed by the incomplete understanding of disease pathophysiology.
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Fig. 8 RAP vs. Burstiness agnostic approaches.
"Importance of burstiness aware SLP" section compares RAP with the burstiness agnostic approaches.
Apart from these burstiness agnostic approaches, we also consider an approach used by practitioners that is based on setting a resource utilization threshold, e.g., a CPU utilization target, instead of SLOs based on response times.
This is clearly formulated by Puolimatka ([2009]): "When discussing with dogmatic naturalists it can be futile to raise the question about the truth of evolutionary theory, because from their religious [naturalism taken as religion] viewpoint this question cannot be even posed in a meaningful manner" and "The atheist or agnostic approaches are the only alternatives accepted in the discussion".
Agnostic approaches such as incorporating gene-environment interactions in a genome-wide association study setting might identify genetic variants that only affect risk when acting with other factors.
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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