Dustin G. Mixon
About me
In 2012, I received my PhD in Applied and Computational Mathematics from Princeton University under the supervision of Robert Calderbank.
Until August 2017, I served as Assistant Professor of Mathematics at the Air Force Institute of Technology.
I have several research interests, including frame theory, signal processing, compressed sensing, and mathematical data science.
My research has been made possible by the National Science Foundation and the Air Force Office of Scientific Research.
Publications
Preprints
M. Fickus, J. Jasper, D. G. Mixon,
Packings in real projective spaces
[arxiv]
[blog]
M. Fickus, J. Jasper, D. G. Mixon,
Hadamard equiangular tight frames
[arxiv]
J. W. Iverson, J. Jasper, D. G. Mixon,
Optimal line packings from association schemes
[arxiv]
[blog]
M. Fickus, D. G. Mixon,
Tables of the existence of equiangular tight frames
[arxiv]
[blog]
J. Cahill, D. G. Mixon,
Robust width: A characterization of uniformly stable and robust compressed sensing
[arxiv]
[blog]
W. U. Bajwa, D. G. Mixon,
A multiple hypothesis testing approach to lowcomplexity subspace unmixing
[arxiv]
Journal articles
M. Fickus, J. Jasper, D. G. Mixon, J. Peterson, C. E. Watson,
Polyphase equiangular tight frames and abelian generalized quadrangles,
Appl. Comput. Harmon. Anal., accepted pending minor revision.
[arxiv]
[blog]
M. Fickus, J. Jasper, D. G. Mixon, J. Peterson,
Tremain equiangular tight frames,
J. Combin. Theory Ser. A,
to appear.
[arxiv]
[blog]
[final]
D. G. Mixon, S. Villar, R. Ward,
Clustering subgaussian mixtures by semidefinite programming,
Inform. Inference, to appear.
[arxiv]
[blog]
[final]
T. Iguchi, D. G. Mixon, J. Peterson, S. Villar,
Probably certifiably correct means clustering,
Math. Program., to appear.
[arxiv]
[blog]
[final]
A. S. Bandeira, M. E. Lewis, D. G. Mixon,
Discrete uncertainty principles and sparse signal processing,
J. Fourier Anal. Appl., to appear.
[arxiv]
[blog]
[final]
M. Fickus, J. Jasper, D. G. Mixon, J. Peterson, C. E. Watson,
Equiangular tight frames with centroidal symmetry,
Appl. Comput. Harmon. Anal., to appear.
[arxiv]
[blog]
[final]
J. Cahill, D. G. Mixon, N. Strawn,
Connectivity and irreducibility of algebraic varieties of finite unit norm tight frames,
SIAM J. Appl. Algebra Geometry 1 (2017) 38–72.
[arxiv]
[blog]
[final]
A. S. Bandeira, D. G. Mixon, J. Moreira,
A conditional construction of restricted isometries,
Int. Math. Res. Notices 2017 (2017) 372–381.
[arxiv]
[blog]
[final]
M. Fickus, D. G. Mixon, J. Jasper,
Equiangular tight frames from hyperovals,
IEEE Trans. Inform. Theory 62 (2016) 5225–5236.
[arxiv]
[blog]
[final]
A. S. Bandeira, M. Fickus, D. G. Mixon, J. Moreira,
Derandomizing restricted isometries via the Legendre symbol,
Constr. Approx. 43 (2016) 409–424.
[arxiv]
[blog]
[final]
M. Fickus, J. Jasper, D. G. Mixon, J. Peterson,
Grouptheoretic constructions of erasurerobust frames,
Linear Algebra Appl. 479 (2015) 131–154.
[arxiv]
[blog]
[final]
A. S. Bandeira, J. Cahill, D. G. Mixon, A. A. Nelson,
Saving phase: Injectivity and stability for phase retrieval,
Appl. Comput. Harmon. Anal. 37 (2014) 106–125.
[arxiv]
[blog]
[final]
A. S. Bandeira, Y. Chen, D. G. Mixon,
Phase retrieval from power spectra of masked signals,
Inform. Inference 3 (2014) 83–102.
[arxiv]
[blog]
[final]
M. Fickus, D. G. Mixon, A. A. Nelson, Y. Wang,
Phase retrieval from very few measurements,
Linear Algebra Appl. 449 (2014) 475–499.
[arxiv]
[blog]
[final]
M. T. McCann, D. G. Mixon, M. Fickus, C. A. Castro, J. A. Ozolek, J. Kovacevic,
Images as occlusions of textures: A framework for segmentation,
IEEE Trans. Image Process. 23 (2014) 2033–2046.
[final]
J. Jasper, D. G. Mixon, M. Fickus,
Kirkman equiangular tight frames and codes,
IEEE Trans. Inform. Theory 60 (2014) 170–181.
[arxiv]
[final]
B. Alexeev, A. S. Bandeira, M. Fickus, D. G. Mixon,
Phase retrieval with polarization,
SIAM J. Imaging Sci. 7 (2014) 35–66.
[arxiv]
[blog]
[final]
A. S. Bandeira, M. Fickus, D. G. Mixon, P. Wong,
The road to deterministic matrices with the restricted isometry property,
J. Fourier Anal. Appl. 19 (2013) 1123–1149.
[arxiv]
[blog]
[final]
P. G. Casazza, M. Fickus, D. G. Mixon, J. Peterson, I. Smalyanau,
Every Hilbert space frame has a Naimark complement,
J. Math. Anal. Appl. 406 (2013) 111–119.
[arxiv]
[final]
M. Fickus, D. G. Mixon, M. J. Poteet, N. Strawn,
Constructing all selfadjoint matrices with prescribed spectrum and diagonal,
Adv. Comput. Math. 39 (2013) 585–609.
[arxiv]
[final]
J. Cahill, M. Fickus, D. G. Mixon, M. J. Poteet, N. Strawn,
Constructing finite frames of a given spectrum and set of lengths,
Appl. Comput. Harmon. Anal. 35 (2013) 52–73.
[arxiv]
[final]
D. G. Mixon, C. J. Quinn, N. Kiyavash, M. Fickus,
Fingerprinting with equiangular tight frames,
IEEE Trans. Inform. Theory 59 (2013) 1855–1865.
[arxiv]
[final]
B. Alexeev, J. Cahill, D. G. Mixon,
Full spark frames,
J. Fourier Anal. Appl. 18 (2012) 1167–1194.
[arxiv]
[blog]
[final]
M. Fickus, D. G. Mixon,
Numerically erasurerobust frames,
Linear Algebra Appl. 437 (2012) 1394–1407.
[arxiv]
[blog]
[final]
M. Fickus, D. G. Mixon,
Optimal frames and Newton's method,
Numer. Func. Anal. Opt. 33 (2012) 971–988.
[arxiv]
[final]
W. U. Bajwa, R. Calderbank, D. G. Mixon,
Two are better than one: Fundamental parameters of frame coherence,
Appl. Comput. Harmon. Anal. 33 (2012) 58–78.
[arxiv]
[blog]
[final]
M. Fickus, D. G. Mixon, J. C. Tremain,
Steiner equiangular tight frames,
Linear Algebra Appl. 436 (2012) 1014–1027.
[arxiv]
[final]
P. G. Casazza, M. Fickus, D. G. Mixon,
Autotuning unit norm frames,
Appl. Comput. Harmon. Anal. 32 (2012) 1–15.
[arxiv]
[final]
P. G. Casazza, M. Fickus, D. G. Mixon, J. C. Tremain,
The BourgainTzafriri conjecture and concrete constructions of nonpavable projections,
Operators and Matrices 5 (2011) 351–363.
[arxiv]
[final]
A. Chebira, M. Fickus, D. G. Mixon,
Filter bank fusion frames,
IEEE Trans. Signal Proc. 59 (2011) 953–963.
[arxiv]
[final]
P. G. Casazza, M. Fickus, D. G. Mixon, Y. Wang, Z. Zhou,
Constructing tight fusion frames,
Appl. Comput. Harmon. Anal. 30 (2011) 175–187.
[final]
G. J. Wilmink, B. D. Rivest, C. C. Roth, B. L. Ibey, J. A. Payne, L. X. Cundin, J. E. Grundt, X. Peralta, D. G. Mixon, W. P. Roach,
In vitro investigation of the biological effects associated with human dermal fibroblasts exposed to 2.52 THz radiation,
Lasers Surg. Med. 43 (2011) 152–163.
[final]
B. L. Ibey, D. G. Mixon, J. A. Payne, A. M. Bowman, K. A. Sickendick, G. J. Wilmink, W. P. Roach, A. G. Pakhomov,
Plasma membrane permeabilization by trains of ultrashort electric pulses,
J. Bioelectrochem. 79 (2010) 114–121.
[final]
J. P. Kharoufeh, D. G. Mixon,
On a Markovmodulated shock and wear process,
Nav. Res. Logist. 56 (2009) 563–576.
[final]
M. Fickus, D. G. Mixon,
Isotropic moments over integer lattices,
Appl. Comput. Harmon. Anal. 26 (2009) 77–96.
[final]
J. P. Kharoufeh, D. E. Finkelstein, D. G. Mixon,
Availability of periodically inspected systems with Markovian wear and shocks,
J. Appl. Probab. 43 (2006) 303–317.
[final]
Book chapters
A. S. Bandeira, D. G. Mixon, B. Recht,
Compressive classification and the rare eclipse problem,
in: Compressed Sensing and its Applications: MATHEON Workshop 2015,
H. Boche, R. Calderbank, G. Kutyniok, J. Vybiral eds.,
Birkhauser, to appear.
[arxiv]
[blog]
D. G. Mixon,
Unit norm tight frames in finitedimensional spaces,
in: Finite Frame Theory: A Complete Introduction to Overcompleteness,
K. A. Okoudjou ed.,
Proceedings of Symposia in Applied Mathematics, pp. 68–93, 2016.
[final]
D. G. Mixon,
Phase transitions in phase retrieval,
in: Excursions in Harmonic Analysis, Volume 4: The February Fourier Talks at the Norbert Wiener Center,
R. Balan, M. Begue, J. J. Benedetto, W. Czaja, K. A. Okoudjou eds.,
Birkhauser, pp. 123–148, 2015.
[arxiv]
[final]
D. G. Mixon,
Explicit matrices with the restricted isometry property: Breaking the squareroot bottleneck,
in: Compressed Sensing and its Applications: MATHEON Workshop 2013,
H. Boche, R. Calderbank, G. Kutyniok, J. Vybiral eds.,
Birkhauser, pp. 389418, 2015.
[arxiv]
[blog]
[final]
M. Fickus, M. L. Massar, D. G. Mixon,
Finite frames and filter banks,
in: Finite Frames: Theory and Applications,
P. G. Casazza, G. Kutyniok eds.,
Birkhauser, pp. 337–379, 2012.
[final]
M. Fickus, D. G. Mixon, M. J. Poteet,
Constructing finite frames with a given spectrum,
in: Finite Frames: Theory and Applications,
P. G. Casazza, G. Kutyniok eds.,
Birkhauser, pp. 55–107, 2012.
[final]
Letters and notes
D. G. Mixon, J. P. Solazzo,
A short introduction to optimal line packings,
College Math. J., to appear.
Y. Eldar, N. Hammen, D. G. Mixon,
Recent advances in phase retrieval,
IEEE Signal Proc. Mag. 33 (2016) 158–162.
[final]
M. Fickus, M. E. Lewis, D. G. Mixon, J. Peterson,
Compressive hyperspectral imaging for stellar spectroscopy,
IEEE Signal Proc. Lett. 22 (2015) 1829–1833.
[final]
Y. C. Eldar, P. Sidorenko, D. G. Mixon, S. Barel, O. Cohen,
Sparse phase retrieval from shorttime Fourier measurements,
IEEE Signal Proc. Lett. 22 (2015) 638–642.
[arxiv]
[final]
A. S. Bandeira, E. Dobriban, D. G. Mixon, W. F. Sawin,
Certifying the restricted isometry property is hard,
IEEE Trans. Inform. Theory 59 (2013) 3448–3450.
[arxiv]
[blog]
[final]
D. G. Mixon,
Another simple proof that the sum of the reciprocals of the primes diverges,
Amer. Math. Mo. 120 (2013) 831.
[final]
D. G. Mixon,
Another simple proof of the infinitude of primes,
Amer. Math. Mo. 119 (2012) 812.
