The phrase "bottom-up processes" is correct and can be used in written English.
You can use it to refer to a process or approach that starts with individual components or smaller parts and builds up to create a larger whole. This can be contrasted with top-down processes, which involve starting with a larger concept or idea and breaking it down into smaller parts. Example sentence: One of the key strategies in this company's success is the implementation of bottom-up processes, where employees at all levels are encouraged to contribute ideas and solutions to improve the overall workflow.
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The second model argues that visual bottom-up processes can do fast and efficient semantic processing.
"We believe that bottom-up processes where the people decide what is to be done by their government must be a priority," said the Ugandan group.
Rather than relying on raw sensory input (or so-called "bottom-up" processes), it seems that V1 is heavily influenced by factors such as prior knowledge about objects in our environment (what's known as "top-down" processing).
Probably, as in perception, both top-down and bottom-up processes have roles.
Supramolecular structures constructed through bottom-up processes play crucial roles in nanoscience and nanotechnology [1, 2].
In fact, the same distributed, bottom-up processes drive popular applications such as Flickr, Twitter and Facebook.
Micro/nano-scale structures of scaffold are fabricated by both top-down and bottom-up processes using some unique materials.
Designing and utilization of biomimetic membrane systems generated by bottom-up processes is a rapidly growing scientific and engineering field.
Its basic idea is rooted in the participation and engagement of citizens, bottom-up processes of niches, new businesses and management strategies and responsible governance.
That is why truly nanometer scale precision is required, which rules out usage of all top-down fabrication approaches and leaves only bottom-up processes.
Recent conceptual models of MFA emphasize the potential for bottom-up processes and linkages among social and environmental systems to promote multifunctionality.
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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