The phrase "almost arbitrarily" is correct and usable in written English.
It can be used to describe a situation where something is done with little regard for rules or standards, suggesting a high degree of randomness or lack of structure.
Example: "The team made decisions almost arbitrarily, leading to confusion and inconsistency in the project."
Alternatives: "nearly at random" or "practically without reason".
Critics have charged that many ratings are assigned almost arbitrarily.
For every John Wayne Gacy, scores of other murderers almost arbitrarily face death, rather than prison time, for their crimes.
Then the film swivels almost arbitrarily into courtroom-drama mode and deploys a few more cliches there, too.
That suggest FSU has gone to Auburn's trick -- constantly shifting their defensive set almost arbitrarily to confuse the opposing quarterback.
"Sometimes we put stuff down almost arbitrarily, if we thought we had room for it," he said.
Notably, Haneke deploys the severe "blackout" effect to end scenes, almost arbitrarily, a technique also seen in his Code Unknown: a sharp, alienating sort of punctuation.
Since the mid-60's, Richter has been celebrated and attacked, pretty much equally, for the extreme physical precision, maddening opacity and daunting intellectual quality of his work, which switch-hits, sometimes almost as if arbitrarily, between realism and abstraction.
Because the frequency spectra of the twelve (U^{(1)}) are almost identical, we arbitrarily select one (U^{(1)}) to analyze.
It's been such a long, steady transition that you could arbitrarily pick almost any moment in the last many decades.
Justice Sotomayor on the practical dimension of Strieff notes the stunning practical impact of the Court's decision; with 7.8 million outstanding warrants in the U.S., mostly for minor offenses, there is every reason to expect that police will be able to arbitrarily stop almost anyone, learn of an outstanding warrant, and then arrest and search.
Yet these GPs were not acting arbitrarily; most were simply doing the best they could in an almost impossible situation.
