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"empirically verified" is correct and usable in written English.
You can use it to describe evidence that has been obtained through observation or experimentation. Example: The research findings were empirically verified through extensive testing.
Exact(60)
But quantum theory was an already well-established, empirically verified structure.
MD String theory is also built upon already well-established, empirically verified structures, namely general relativity and quantum field theory.
He was unable to accept their view that because value judgments could not be empirically verified they were meaningless.
The data were empirically verified and satisfactory results were found.
But even after half a century, her claim has not been empirically verified.
In the view of the logical positivists, this contact consists of the method by which a meaningful sentence can be empirically verified.
Moreover, the efficacy of the proposed RD operator in MARD has been empirically verified.
Numerical properties of the proposed algorithm are empirically verified on the multi-core processor.
The concept has been analytically explained and empirically verified through application.
However, such a benefit was not empirically verified extensively, especially in the Malaysian construction industry.
Reaction order of SO3 decomposition was empirically verified as first-order reaction.
More suggestions(15)
specifically verified
empirically investigated
empirically reviewed
empirically evaluated
empirically justified
empirically discovered
empirically substantiated
effectively verified
empirically specified
empirically validated
empirically identified
empirically grounded
empirically proved
empirically driven
empirically supported
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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