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"bottom up" is an acceptable phrase in written English.
You use it to describe a process that begins from the lowest level and progresses upward such as an organization that is structured from the lower level employees up to the executive level. For example, "The organization was brought together using a bottom up approach, meaning the employees at the shop floor level had a say in the way the company was run."
Exact(28)
Bottom up, not top down.
"Bottom up?!" she said.
We'll build from the bottom up!
Top Down, Bottom UP.
Weave it, bottom up, through each finger.
Fold the bottom up and over.
Similar(32)
Bottom-up abstractive summarization.
We're strictly bottom-up".
Bottom-up efforts.
Support bottom-up compassion.
It's bottom-up regeneration, people power.
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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