There is no such things as parallel speech data. The idea that parallel text is a thing is dubious in the first place, like there's "translation tone" in Japanese that refers to the voice-of-text distinct to translated Western texts. The entire concept of translation between distinct human languages is a thing born out of practical necessity rather than something with a concrete theoretical basis.

The Babel fish in The Hitchhiker's Guide to the Galaxy is supposed to be mind-reading. They don't rely on spoken utterances at all, but they read the minds of creatures within its telepathic range and feed the language portions of it into its host's brain, thereby achieving zero-lag realtime translation. This may or may not mean the author Douglas Adams knew that general universal translation is impossible, but it makes the fictional fish not contradictory to the reality that zero-lag interpretation through audio is basically impossible.

You CAN probably do a parallel speech voice to voice if you're okay with something like 30s delay. But if you want a voice-to-voice no-pause zero-delay, I mean, people sometimes think as they speak, everyone can do, yet not everyone speaks languages with same word orders, you literally need a crystal ball that reads dices before they're even rolled.

> EMA-based training dynamics like JEPA’s don’t optimize any smooth mathematical function, yet they provably converge to useful, non-collapsed representations.

All the papers say EMA avoids “representation collapse” without justifying it. Didn’t realize there were any theoretical results here.