Genisisect says:
Actually I got the Aes Sedai thing completely wrong. You start with 6 common weaves and 1 common talent and as you progress at 2, and I think 7th (the page has already started reloading so I can't double check) you learn additional talents and affinities (or some congruent word) that you qualify for. It states in the class descriptor that the talents as affinities grant additional weaves, but I didn't find them before the page reset, though I'd hazard a guess that they are either in a chapter of there own or at the end of the character description.
So I've read it several times, and all I can say is that it's quite unclear with regard to the Initiate class. It says in one part (p. 17) that wisdom is the base stat for learning new weaves, and elsewhere (p. 43) that it is intelligence. How weaves are learned is based on class (p. 44), but I can't find anything in the Initiate class description that is super-clear. There is reference to a lower DC for learning from mentors and from texts (Tower Trained, p. 20), and there is a mechanic for learning them in-game (also p. 44). However, no reference to what would happen if you start at a level above 1. For Wilders it is much more clear...they learn on their own, start with 5, and learn one each level.
So....your call, DM.