http://www.stowiki.org/Console_-_Tac...sic_Compressor
The STO wiki states that it affects all tranphasic projectile damage, including mines. The same will apply to all kinetic-damage boosters.
So yeah, use the Transphasic Compressor to boost your transphasic damage.
Also, be sure to use STO wiki as a resource. It's useful for older, established features of the game. It's not updated as regularly as it should be, so be wary. Try double-checking with other resources if in doubt.
My PvP toon is Krov, of The House of Snoo. Beware of my Hegh'ta of doom.