1,615 reputation
425
bio website dustingmixon.wordpress.com
location Air Force Institute of Technology
age 30
visits member for 2 years
seen 21 mins ago

I am an assistant professor at the Air Force Institute of Technology. My research tends to involve matrix design and algorithms for modern inverse problems.


Dec
12
awarded  Yearling
Nov
21
comment Notion of manifold curvature?
Yes, it is. I didn't know how to describe the second Fréchet derivative without clunky use of the word "Hessian." Looking at wikipedia, it seems I could have just said "Hessian."
Nov
21
comment Restricted singular values of random matrix
This might be of some interest: arxiv.org/abs/1403.5969
Nov
21
asked Notion of manifold curvature?
Nov
16
accepted Thin sets that are well-distributed over arithmetic progressions?
Nov
15
asked Thin sets that are well-distributed over arithmetic progressions?
Nov
14
awarded  Popular Question
Sep
9
comment Nearby matrices have nearby leading eigenvectors?
@FelixGoldberg - My particular application concerns PSD matrices, but perhaps you can link to a survey or something?
Sep
8
awarded  Nice Question
Sep
8
revised Nearby matrices have nearby leading eigenvectors?
added 20 characters in body
Sep
8
asked Nearby matrices have nearby leading eigenvectors?
Aug
11
awarded  Nice Question
Jul
23
revised Not-lonely runners
added 6 characters in body
Jul
23
answered Not-lonely runners
Jul
22
awarded  Popular Question
Jul
22
revised Weil's Riemann Hypothesis for dummies?
added 166 characters in body
Jul
21
comment Weil's Riemann Hypothesis for dummies?
Thanks! Do we know what $c_1(d)$ is, or do we have a bound in terms of $d$?
Jul
21
asked Weil's Riemann Hypothesis for dummies?
Jul
2
awarded  Curious
Jun
5
comment Is this statement which relates the Fourier transform of a function to its singularities correct?
Note that $\cos(at)$ and $\sin(at)$ also sound the same (and yet are orthogonal). This is because your ear encodes the sound wave by having different parts of the basilar membrane resonate with different frequencies; as such, you effectively hear the spectrogram, i.e., your ear is "blind" to global phase, as Noah Stein suggested. This is a crucial idea in speech processing, see for example "On signal reconstruction without phase" by Balan, Casazza and Edidin.