Publications
My Google Scholar page.
Preprints
- H. Jamil, Y. Liu, C. Cole, N. Blanchard, E. J. King, M. Kirby, C. Peterson
Dual Graphs of Polyhedral Decompositions for the Detection of
Adversarial Attacks
- Lander Ver Hoef, Henry Adams, Emily J King, and Imme Ebert-Uphoff
A Primer on Topological Data Analysis to Support Image Analysis Tasks in Environmental Science.
- Emily J. King, Dustin G. Mixon, Shayne Waldron
Testing isomorphism between tuples of subspaces.
- C. Cox, E. J. King, D. G. Mixon, and H. Parshall
Uniquely optimal codes of low complexity are symmetric.
- E. King.
New Constructions and Characterizations of Flat and Almost Flat Grassmannian Fusion Frames.
Journal Articles
- Sören Schulze, Johannes Leuschner, Emily J. King
Blind Source Separation in Polyphonic Music Recordings Using Deep Neural Networks Trained via Policy Gradients
Signals, 2(4):637-661, 2021.
- M. Fickus, J. W. Iverson, J. Jasper, and E. J. King
Grassmannian codes from paired difference sets
Designs, Codes and Cryptography, 89(11):2553-2576, 2021.
- J. W. Iverson, E. J. King, and D. G. Mixon
A note on tight projective 2-designs
To appear, Journal of Combinatorial Designs.
- E. J. King.
Constructing Subspace Packings from Other Packings.
Linear Algebra and Applications, 625:68-80, 2021.
- S. Schulze, E. King.
Sparse Pursuit and Dictionary Learning for Blind Source Separation in Polyphonic Music Recordings.
EURASIP Journal on Audio, Speech, and Music Processing, 2021(6), 2021.
- S. Mahan, E. J. King, and A. Cloninger.
Nonclosedness of the Set of Neural Networks in Sobolev Space
Neural Networks, 137:85-96, 2021.
- S. Dittmer, E. King, P. Maass.
Singular values for ReLU layers.
IEEE Transactions on Neural Networks and Learning Systems, 31(9): 3594-3605, 2020.
- B. Bodmann, E. King.
Optimal arrangements of
classical and quantum states with limited purity.
Journal of the London Mathematical Society, 101(1):393-431, 2020.
- E. King, X. Tang.
New Upper Bounds for Equiangular Lines by Pillar Decomposition.
SIAM Journal on Discrete Mathematics, 33(4): 2479-2508, 2019.
- R. Reisenhofer, E. King.
Edge, ridge, and blob detection with symmetric molecules.
Supplementary Materials (PDF)
SIAM Journal on Imaging Sciences, 12(4):1585-1626, 2019.
- M. Fickus, J. Jasper, E. King, D. Mixon.
Equiangular tight frames that
contain regular simplices.
Linear Algebra and its Applications
555:98–138, 2018.
DOI:
10.1016/j.laa.2018.06.004
- E. King, M. Skopina.
On biorthogonal
p-adic wavelet bases.
Notes of Scientific
Seminars of the St. Petersburg Department of the Steklov Mathematical
Institute, Russian Academy of Sciences, 455:67-83, 2017.
English version:
Journal of Mathematical Sciences, 234:158-169,
2018.
DOI: 10.1007/s10958-018-3992-9
- R. Reisenhofer, J. Kiefer, E. King.
Shearlet-Based Detection of Flame Fronts.
Experiments in Fluids, 57(3):41, Springer Verlag, 2016.
DOI: 10.1007/s00348-016-2128-6
- E. King, G. Kutyniok, X. Zhuang.
Analysis of Inpainting via Clustered Sparsity and
Microlocal Analysis.
Journal of Mathematical Imaging and Vision,
48(2):205-234, Springer
Verlag, 2014.
DOI: 10.1007/s10851-013-0422-y
- W. Czaja, E. King.
Anistropic shearlet transforms for \(L^2(\mathbb{R}^k)\).
Mathematische Nachrichten, 287(8):903-916, 2014.
DOI: 10.1002/mana.201000035
- E. King.
Smooth
parseval frames for \(L^2(\mathbb{R})\) and generalizations to \(L^2(\mathbb{R}^d)\) .
International Journal of
Wavelets, Multiresolution and Information Processing, 11(6), World
Scientific, 2013.
DOI: 10.1142/S0219691313500471
- W. Czaja, E. King.
Isotropic shearlet analogs for \(L^2(\mathbb{R}^k)\) and localization operators.
Numerical
Functional Analysis and Optimization, 33:872-905, 2012.
DOI: 10.1080/01630563.2012.682137
- E. King, M. Skopina.
Quincunx multiresolution analysis for \(L^2(\mathbb{Q}_2^2)\).
p-Adic Numbers,
Ultrametric Analysis and Applications, 2(3):222-231, 2010.
DOI: 10.1134/S2070046610030040
- J. Benedetto, E. King.
Smooth functions associated with wavelet sets on \(\mathbb{R}^d\), \(d\geq 1\), and
frame bound gaps.
Acta Applicandae Mathematicae, 107(1):121-142,
2009.
DOI: 10.1007/s10440-008-9412-2
Proceedings
- N. Mankovich, E. King, C. Peterson, M. Kirby.
The Flag Median and FlagIRLS.
CVPR 2022, to appear.
- J. Jasper, E. King, D. Mixon.
Game of Sloanes: Best known
packings in complex projective space.
Proc. SPIE
11138, Wavelets and Sparsity XVIII, 2019.
- E. King
2- and 3-Covariant Equiangular Tight Frames.
2019 13th International conference on Sampling Theory and Applications (SampTA), IEEE, 2019
- S. Schulze, E. King.
A Frequency-Uniform and Pitch-Invariant
Time-Frequency Representation.
Proc. Appl. Math. Mech., 19:Wiley, 2019.
- E. J. King (joint work with A. Fink, C. Vinzant, and S. Waldron)
Decomposing (equiangular) tight frames into (equiangular) tight frames for their spans.
Oberwolfach Reports -MiniWorkshop: Algebraic, Geometric, and
Combinatorial Methods in Frame Theory, 46:29-32, 2018.
- E. King, J. M. Murphy.
A theoretical guarantee for data completion via
geometric separation.
Proc. Appl. Math. Mech., 17:833-834, Wiley, 2017.
DOI: 10.1002/pamm.201710384
- E. King.
Algebraic and geometric spread in finite frames.
Proc. SPIE
9597, Wavelets and Sparsity XVI, 95970B (24 August 2015).
DOI: 10.1117/12.2188541.
- E. King, R. Reisenhofer, J. Kiefer, W. Lim, Z. Li, G. Heygster.
Shearlet-based edge
detection: flame fronts and tidal flats.
Proc. SPIE
9599, Applications of
Digital Image Processing XXXVIII, 959905 (22 September 2015).
DOI: 10.1117/12.2188652.
- E. King.
Frame theory for locally compact abelian groups.
Proc. SPIE 8858, Wavelets and
Sparsity XV, 88581R (26 September 2013).
DOI: 10.1117/12.2025018
- E. King, G. Kutyniok, W. Lim.
Image inpainting: theoretical analysis and comparison of
algorithms.
Proc. SPIE 8858, Wavelets and Sparsity XV,
885802 (26 September 2013).
DOI: 10.1117/12.2025401.
- M. Ehler, E. Dobrosotskaya, E. King, R. Bonner.
Quantification of retinal chromophores through
autofluorescence imaging to identify precursors of age-related macular
degeneration.
In: T. Andrews, R. Balan, J. Benedetto, W.
Czaja, K. Okoudjou (eds)
Excursions in Harmonic Analysis: Applied and Numerical Harmonic
Analysis, 2:355-371, Birkhäuser, Boston, 2013.
DOI: 10.1007/978-0-8176-8379-5_18
- E. King.
Analysis of inpainting via clustered sparsity and microlocal analysis.
Oberwolfach Reports: Applied Harmonic Analysis and Sparse Approximation,
9(2):1802-1806, 2012.
DOI:
10.4171/OWR/2012/29
- E. King, G. Kutyniok, X. Zhuang.
Analysis of data separation and recovery problems using clustered sparsity.
Proc. SPIE 8138, Wavelets and Sparsity XIV, 813818 (27 September 2011).
DOI: 10.1117/12.892723.
- E. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja.
Modeling of the rhodopsin bleaching with
variational analysis of retinal images.
Proc. SPIE 7962,
Medical Imaging 2011: Image Processing, 79624N (31 May 2011).
DOI: 10.1117/12.878709
- M. Ehler, E. Dobrosotskaya, E.
King, W. Czaja, R. Bonner.
Modeling photo-bleaching kinetics to map
local variations in rod rhodopsin density.
Proc. SPIE
7963, Medical Imaging 2011: Computer-Aided Diagnosis, 79633R (9 March
2011).
DOI: 10.1117/12.878421
- E. King.
Shearlets and representation theory (and the Wick calculus).
Oberwolfach
Reports - Operator Algebras and Representation Theory: Frames, Wavelets and
Fractals, 8:961-963, 2011.
DOI:
10.4171/OWR/2011/17
- M. Ehler, Z. Majumdar, E.
King, E. Dobrosotskaya, E. Chew, W. Wong, D. Cunningham, W. Czaja, R.
Bonner.
High-resolution autofluorescence imaging for mapping molecular
processes within the human retina.
26th Southern Biomedical Engineering
Conference, International Federation for Medical & Biomedical Engineering.
IFMBE Proceedings Series: Intern.Fed. for Medical & Biological Engineering,
32:344-347, Springer Verlag, 2010.
DOI: 10.1007/978-3-642-14998-6_88
- E. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja.
Sparse representation and variational
methods in retinal image processing.
26th Southern Biomedical Engineering
Conference, International Federation for Medical & Biomedical Engineering.
IFMBE Proceedings Series: Intern.Fed. for Medical & Biological Engineering,
32:361-364, Springer Verlag, 2010.
DOI: 10.1007/978-3-642-14998-6_92
Miscellaneous Manuscripts
- S. Schulze and E. King
Formulating Beurling LASSO for Source Separation via Proximal Gradient Iteration.
2022.
- E. King
Grassmannian Fusion Frames.
2013.
- E. King
A Matricial Algorithm for Polynomial Refinement.
2011.