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The phrase "assumption based" is correct and usable in written English.
It can be used to describe something that relies on or is derived from certain assumptions.
Example: "The model is assumption based, meaning its predictions depend on the validity of the initial premises."
Alternatives: "premise-driven" or "hypothesis-oriented".
Exact(49)
Although that's just an assumption based on a single image.
"I have to make that assumption, based on past history".
Assumption based thinking will only lead to a problem of distrust in the long run.
We question this assumption, based on research conducted in Oaxaca, Mexico.
But that traditional assumption, based on the economic theories of John Maynard Keynes, has been turned on its head, at least in the United States.
There's also an assumption, based on no particular evidence, that women, far more than men, will judge a designer product as inferior if its price seems too low.
Similar(11)
A 'subblockwise' linear assumption-based channel model is proposed to represent the mobile-to-mobile time- and frequency-selective channels.
Hence many of the safety conclusions … are assumption-based, rather than evidence-based, reasoning".
The second procedure is defined in dialectical terms, for assumption-based argumentation frameworks.
Dynamic A∗ uses assumption-based planning to navigate to a given goal location in unknown terrain.
Our method is logic-based and borrows ideas from assumption-based reasoning and ATMS.
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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