Near the end of the episode, Kirk is trying to persuade the irrational children to help him save the planet, and the children just keep yelling "Blah Blah Blah!"
Kirk says:
No "blah blah blah"! Because... if you don't help us, there won't be any games anymore. There won't be anything. Nothing... Forever and ever...
...I'm begging you: let me help you! Or there won't be anything left at all.
http://singularity.org/blog/2013/01/30/we-are-now-the-machine-intelligence-research-institute-miri/
As Risto Saarelma pointed out on IRC, "Volcano Lair Doom Institute" would have been cooler, but this is pretty good too. As the word "Singularity" has pretty much lost its meaning, it's better to have a name that doesn't give a new person all kinds of weird initial associations as their first impression. And "Machine Intelligence Research Institute" is appropriately descriptive while still being general enough.