Recent content by Petawa

You're right, my choice of words is poor. X is a matrix lying in the space MV\capMX (using the notation from the proof in the original post). That is, X's column space is contained in V and X satisfies the zero constraints. When I said "a non-zero solution exists", I should have said...

I'm still struggling with this. It seems to be related to Grassmannian manifolds, which provide a distribution over all possible random subspaces. However I can't find any papers that address this problem. Perhaps I'm using the wrong terminology? Does anyone have alternative keywords or...

I've been struggling with this problem for about two weeks. My supervisor is also stumped - though the problem is easy to state, I don't know the proper approach to tackle it. I'd appreciate any hints or advice. Let V be an random k-dimensional vector subspace of ℝn, chosen uniformly over...

One final piece of information: Oxford's MSc has a three-month research essay after the nine months of courses/exams, whereas Part III ends after the exams.

Hello everyone, I'm currently deciding where I should study next year, and I would appreciate any advice you could give. I am a Canadian citizen, and I just finished my bachelors with a physics/statistics double major. My long term goal is to research machine learning, either in a faculty...

Marks aren't everything for research positions. You need to have high eighties average to be considered, but its also how well the prof knows you. If you do real well in your Quantum class & speak up in class so the prof knows you, there's a good chance he'll accept when you ask about working...

I'm also a student at Waterloo (doing the Math Phys program you're looking into). Waterloo is not just about engineering! As you probably know, it has the biggest Math faculty in North America. The profs I've met genuinely care about the students. Its relatively easy to get co-op jobs/summer...