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The phrase "assumptions driving" is correct and usable in written English.
It can be used to refer to the underlying beliefs or premises that influence decisions or actions in a particular context.
Example: "The assumptions driving our strategy need to be reevaluated to ensure we are on the right path."
Alternatives: "beliefs influencing" or "premises guiding".
Exact(4)
These results suggest a need for better understanding of the technical assumptions driving popular consensus regarding future costs.
These systems differ in their goals, species promoted (shade-tolerant vs. –intolerant) and the ecological assumptions driving their operations.
Conversely, if such changes were common in unseeded systems, it would throw doubt on the very hypothesis and assumptions driving Project Stormfury.
The total consultation requirements by competency developed through this process were then reviewed by the same cross-disciplinary expert panel who informed the needs analysis, revisiting the assumptions driving the results.
Similar(56)
But some American officers, speaking privately, say the assumption driving the manhunt is that the men are alive.
Stories in the Times give additional credibility to the assumption, driving many of the payment reforms of the Affordable Care Act, that if you pay doctors for "value," rather than for volume, we will stop treating patients with care they do not need.
With previous assumptions that driving is mostly a visual task [17], that deaf people have enhanced peripheral vision [14], and that drivers with HL show more cautious driving behavior [13], it is interesting that drivers with HL show worse driving performance during distraction than drivers with NH [1].
"While it is still somewhat unclear what assumptions are driving Marvel's film production guidance, the contribution from the film slate in 2008 [and lifetime] appears to be about 60% of what we were expecting on a revenue basis and at a lower margin," noted Cowen & Co. analysts Doug Creutz and Adam Noily.
In this paper, we refer to the following definition of the word 'scenario' given by the Intergovernmental Panel on Climate Change (IPCC): 'A plausible and often simplified description of how the future may develop, based on a coherent and internally consistent set of assumptions about driving forces and key relationships' (p. 86) [59].
Emissions scenario A plausible representation of the future development of emissions of substances that are potentially radiatively active (e.g., greenhouse gases, aerosols), based on a coherent and internally consistent set of assumptions about driving forces (such as demographic and socio-economic development, technological change) and their key relationships.
A similar interpretation can be made in relation to the big city drivers predictor, where the assumption of driving around a large city allows for a greater chance of getting lost or losing one's orientation (exposure).
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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