<p>uheaven is right that in Asia the most recognized schools are (in no particular order): Harvard, Yale, Stanford, Oxford and Cambridge. Rankings don’t mean much to the general public. </p>
<p>I don’t believe one should picks a school based on recognization but if that’s important to you then you should go to Yale, especially you have visited the school and seems to like it a lot. </p>
<p>I do think Princeton is a better school than Yale for undergrads and I’m very glad my daughter picked Princeton.</p>
<p>You can’t go wrong with either choice. Good luck!</p>