"based on memory" is a correct and usable phrase in written English.
This phrase can be used to describe recall of information without any evidence or proof. For example: "I cannot provide you with a citation for this fact, as it is based on memory."
A plausible interpretation of this scenario is that ordinarily claims such as the one I made, based on memory, are justified, and count as knowledge.
MRAM is basically based on memory cells having two magnetic storage elements, one with a fixed magnetic polarity and another with a switchable polarity.
The script for that show was based on memory — how much of Shakespeare's late-sixteenth-century tragedy could one remember or misremember, and what did it mean to recount a story, anyway?
These were based on memory or on pencil sketches.
In my latest book I explore how conflict escalates, in a small poem based on memory of the perimeter demonstrations.
Attenuation is modeled with exponential relaxation functions which allow a differential formulation based on memory variables.
We develop a computational approach based on memory network for entity disambiguation.
However, the exams at which he shone were based on memory, and his extraordinary capacity in this regard was not matched by great critical intelligence.
The Neues Museum is a cool, eloquent and, in the end, richly rewarding assertion of the poetic power of architecture based on memory rather than novelty.
There is the very peculiar manner in which our brains interact with the world, based on memory and tentative anticipation of the future.
After enough practice, "you learn so much of the shape that it comes to mind and you can gesture it based on memory," he said.
