I tried setting it to the "1080p60 standard ( 1920 x 1080 @ 60Hz )" and changing the input still results in a lost video signal. I've included a screenshot to show you what I did:
After I seelcted the 1080p60 standard I pressed Apply Format, and then the main Apply button.
I've also just tried having two profiles each with a slightly different resolution, and pressing the shortcuts for them after I've switched the input hoping the refresh in the resolution would solve the problem, but still nothing.