<p>Well… I know that for Yale, Directed Studies is a program that you have to express interest/strength in on your application. It’s not just given to the top applicants like Columbia does for JJ and K scholars. </p>
<p>Princeton and Harvard, as far as I know, do not have anything like Columbia’s program. </p>
<p>Also, for Yale, you’re allowed to apply to the program. Stanford has something similar called SLE.</p>