Speech separation - Mitsubishi Research has done some pretty impressive stuff on that - http://www.merl.com/demos/deep-clustering. Haven't seen equivalents of that in open source ASR
http://spandh.dcs.shef.ac.uk/chime_challenge/chime2016/resul...
I'm really fascinated by the whole idea of blind source separation and the fact that speech signals are "sparse" in frequency space.
We've had a similar experience looking for hardware / open source beamforming. There's a package called beamformit, but I think it's pretty old.
https://medium.com/snips-ai/benchmarking-microphone-arrays-r...
https://developer.amazon.com/alexa-voice-service/dev-kits/co...
Amazon's 7-mic hardware has its own OEM program.