Is there an AI learning (personalized translation) function in Yaraku Translate?

Yes, there is.

Personalized translation is a machine translation personalized for each user based on the machine learning results using registered phrases.

When you register your translation to Phrases, regardless of the selected engine, our CAT tool is using it for individualized machine-learning, so it will be automatically edited next time similar expression appears.

Machine learning is based o Phrases, and it takes into account the before and after context.

Therefore, depending on the context, it may not work, and it may it translated differently every time depending on the document. 

Please visit the Features page under article about AI translation for more information.