I hope you can share your insights with me. I'm struggling to figure out appropriate research questions in my SOP. I'm trying to get into a top CS graduate school in the USA.
I am a cs grad and have done bioinformatics research, which attracts me to tackle computational and statistical challenges of Personalized Medicine. My long-term research goals are heterogeneous data integration, and statistical methods to reduce false positives and negatives. Since those things are really cutting-edge topics and groundbreaking progress has been made infrequently over a decade, not many US researchers list those questions as their primary research interests on their websites, but there is a hope that more researchers would get into those questions in near future.
So my concerns lead to two questions. First, would some of the top 20 CS graduate schools reject me because they don't have any researchers, who are currently researching those questions, but their research could help me work on those questions to some degree? Second, is it okay to state my long-term research goals I mentioned above on my SOP, rather than state which ongoing research at the school I'm interested in? I'm not sure what exact fields/topics would contribute to my long-term goals, but I think statistical machine learning and intelligent systems could offer some hopes.
Any opinions would be appreciated!