I have no idea, but yiyan is short for wenxinyiyan(文心一言), which roughly translates to character-heart-one-(speech/word). Maybe someone who is Chinese could translate it better. So I don't think the name has anything to do with the model.
I do wonder what their backend is. They have the same 3.5/4 version numbering scheme that ChatGPT uses, which could be just marketing (and probably is), but I wonder.
https://yiyan.baidu.com
I imagine it is good enough for most people.