Is a neural network even really necessary? This seems like something where careful application of some normal math would work. Find a loud event, correlate the loud event across devices to get offsets (by sequence ID, not clock time), do some fancy math to apply inverse sin waves or what not.

That's not to diminish the accomplishment or say that it's easy (or that I could do it), but I don't think a neural network is necessary here.

My guess is that that would introduce too much latency (neural networks generally have bad latency).