Blogs like this make me wish I would have gone for a PhD, perhaps in imagery exploitation. This one comes from a friend of mine from the Air Force Research Laboratory now teaching at the U.S. Air Force Academy. Anyone who knows what I do for a living would understand why I find this blog interesting. Read the original blog from my buddy, D.O.G., if you love math.

Short, Fat Matrices

It’s been far too long since my last blog post, but now that the linear algebra class I’m teaching is coming to an end, I hope to update a bit more.

Today, I present my latest paper on phase retrieval. My coauthors are Boris Alexeev, Afonso Bandeira and Matt Fickus.

This one is a long time coming, considering I blogged about the main idea almost 6 months ago. But that blog entry only described our approach in the noiseless case, whereas the bulk of the paper actually tackles stability in the noisy case. This is an important stride for phase retrieval, considering the only provably stable alternative is PhaseLift/PhaseCut, while our approach is completely different.

To review, here’s the main idea: We have a collection of vectors that we use to measure our signal. If we could determine the phases of these measurements (up to a…

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  1. Pingback: Week 31 of 213: They shall grow not old, as we that are left grow old: Age shall not weary them, nor the years condemn. At the going down of the sun and in the morning, We will remember them. « Aerospace Cubicle Engineer (ACE)

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