ID and info about plant
This is gooseneck loosestrife (Lysimachia clethroides). It is not invasive per se, meaning a non-native plant that is harmful to humans and the environment. On the other hand, they don't call it loosestrife for nothing.
It can very aggressive and take over home landscape or beds. You see the rhizomes. In a dry spot, it may grow reasonably, but then if there is a lot of rain, all bets are off.
Here's more about it: http://www.missouribotanicalgarden.org/PlantFinder/PlantFinderDetails.aspx?taxonid=285552