How can one interpret a Vedic passage by saying that a certain meaning was not “intended” (vivakṣita), while still thinking that the Veda has no personal author?

The Mīmāṃsā cannot renounce the idea that the Veda has no personal author (apauruṣeyatva): its whole theory about the Veda’s validity depends on this principle. However, Kumārila needs also to explain in which sense one can decide whether an interpretation of the Veda is right or not on the basis of whether it is intended (vivakṣita). How can one speak of intention if there is no author?