<p>@PetyrBaelish - Based on your qualifications and your command of written English, I would think you are the type of international candidate who has a realistic chance of being accepted to these schools. That does not mean you will be accepted, but if you submit strong applications, you will have much better chances than the average international.</p>
<p>I would recommend that in addition to Stanford and Caltech, you apply to all six colleges in the US that are need blind and meet full need for internationals, these are Harvard, Princeton, Yale, Dartmouth, Amherst, and MIT. Some are already on your list, but not all. Due to the quirky nature of college admissions, it’s possible you could be accepted by Harvard, Dartmouth, or Amherst, but none of the schools on your original list.</p>