bio | website | dustingmixon.wordpress.com |
---|---|---|
location | Air Force Institute of Technology | |
age | 30 | |
visits | member for | 1 year, 8 months |
seen | 20 hours ago | |
stats | profile views | 1,096 |
I am an assistant professor at the Air Force Institute of Technology. My research tends to fall into (at least) one of three categories:
- Matrix design for various engineering applications
- Compressed sensing and sparse signal processing
- Phase retrieval in finite-dimensional vector spaces
- Matrix design for various engineering applications
- Compressed sensing and sparse signal processing
- Phase retrieval in finite-dimensional vector spaces
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. |
May 30 |
comment |
Is it easy to produce hard-to-color graphs?
Joel - Regarding your final comment "in which nearly every instance is hard", are there any well-known problems which are known to have this property? |
May 24 |
accepted | Can the Legendre symbol be calculated in polynomial time? |
May 24 |
answered | $\|T\|_2 \le \sqrt{\|T\|_1\|T\|_\infty}$ |
May 24 |
asked | Can the Legendre symbol be calculated in polynomial time? |
Feb 4 |
comment |
Incoherence of the row/column span
The subspaces which are optimally incoherent in your sense are spanned by the rows of something called a unit norm tight frame. See the introduction of this paper and references therein: arxiv.org/abs/1106.0921 |
Jan 18 |
awarded | Nice Answer |
Jan 16 |
answered | Submitting a companion paper with detailed proofs ? |
Dec 31 |
comment |
Examples of ubiquitous objects that are hard to find?
I feel like (b) comes up quite a bit in complexity theory. Take any "hard" instance of an NP-complete problem whose answer is "yes" and try to find a certificate. For example, find a clique of size $n^\epsilon$ that the devil hid in an ER graph with $p=1/2$. |
Dec 31 |
comment |
What is this expander-mixing-type graph property?
Wow, you're right. I ignored a log factor in $n$ on the right-hand side, thinking I didn't need it, but I do. For the sake of documentation, I found a lot of useful information by googling "graph discrepancy". |
Dec 30 |
asked | What is this expander-mixing-type graph property? |
Dec 30 |
asked | Examples of ubiquitous objects that are hard to find? |