To get in game, select "Title screen" from the debug menu.
Keyboard:
F9 To hide the debug text
F2 closes the game
F3 toggles fullscreen.
F6 seems to change resolution
F7 is mesh smoothing
L adds some more debug text
Controller:
L3 opens more debug info. (You can't use the Gesture menu unless you rebind it.)
L2+R2+B/Circle opens a debug menu.