1) When connected via the displayport, does the monitor say some variation of "no signal" or stays asleep? If it stays asleep, what happens when you press the power button to force it awake?
2) Have you switched the cable?[DOUBLEPOST=1465323920,1465323663][/DOUBLEPOST]Looking around, apparently this is a known issue. Mayhap someone has figured it out.[DOUBLEPOST=1465324438][/DOUBLEPOST]Someone on reddit has this solution, which sounds at least plausible.
A few other people suggest turning off any low-power settings in the monitor settings or the GPU settings that worked for them.
More than a few suggest (knowing that it sound stupid), to unplug your monitor for a minute then plug it back in with the DP cable conected.