If you look at the 2010 census, it's pretty obvious the Asian community in Pittsburgh has been concentrating wherever there are large clusters of apartments - on the fringes of Shadyside, along with in Squirrel Hill South.
This isn't surprising, given who the population is. I've done estimates before, and well over 60% of Asians in Pittsburgh are likely undergrads or graduate students at Pitt or CMU. The exact number is hard to say, because CMU only lists race for domestic students, not international students (who are listed by country or origin instead). When you add in the spouses and children of graduate students, the vast majority of the Asian population in Pittsburgh is university-affiliated. One of the key questions is, can a considerable number of them be coaxed into staying once they are done with schooling?
Anecdotally speaking, it does seem like the Asian population in greater East Liberty is rising. Not just Asian professionals either - I've seen a few families who I believe are part of the Bhutanese community in some of the remaining run-down rental houses. I wonder if due to better job prospects that community might start relocating from Carrick?