Publications

My Google Scholar page.

Preprints

  1. Emily J. King and Dustin G. Mixon.
    Short spherical \(t\)-design curves.
    2026.
  2. Dongwei Chen, Emily J. King, and Clayton Shonkwiler.
    A Land of Oblique Duality for Frames and Probabilistic Frames.
    2026.
  3. Emily J. King and Kylie Schnoor.
    Connections Between Frames with Rational Eigensteps and Semistandard Young Tableaux.
    2025.
  4. Ian Jorquera and Emily J. King.
    On the Structure of Frames and Equiangular Lines over Finite Fields and their Connections to Design Theory.
    2025.
  5. Emily J. King.
    \(k\)-Homogeneous Equiangular Tight Frames.
    2025.

Journal Articles

  1. Nathan Mitchell, Lander Ver Hoef, Imme Ebert-Uphoff, Kristina Moen, Kyle Hilburn, Yoonjin Lee, and Emily J. King.
    Knowledge-Guided Machine Learning: Illustrating the Use of Explainable Boosting Machines to Identify Overshooting Tops in Satellite Imagery.
    Artificial Intelligence for the Earth Systems, 5 (3), 2026.
    DOI: 10.1175/AIES-D-25-0059.1 .
  2. Emily J. King and Dustin G. Mixon.
    The Impossibility of Extending the Naimark Complement.
    Linear and Multilinear Algebra, 74 (4):541–547, 2026.
    DOI: 10.1080/03081087.2026.2628048 .
  3. Emily J. King, Dustin G. Mixon, Hans Parshall, and Chris Wells.
    Uniquely Optimal Codes of Low Complexity are Symmetric.
    Journal of Experimental Mathematics, 2 (1):81–113, 2026.
    DOI: 10.56994/JXM.002.001.004 .
  4. Dongwei Chen, Emily J. King, and Clayton Shonkwiler.
    Approximately Dual and Pseudo-Dual Probabilistic Frames.
    Applied and Computational Harmonic Analysis, 84 :101885, 2026.
    DOI: 10.1016/j.acha.2026.101885 .
  5. 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.
    Artificial Intelligence for the Earth Systems, 2 (1), 2023.
    DOI: 10.1175/AIES-D-22-0039.1 .
  6. 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.
  7. 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.
  8. J. W. Iverson, E. J. King, and D. G. Mixon
    A note on tight projective 2-designs
    Journal of Combinatorial Designs, 29(12):809–832, 2021.
  9. E. J. King.
    Constructing Subspace Packings from Other Packings.
    Linear Algebra and Applications, 625 :68-80, 2021.
  10. 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.
  11. S. Mahan, E. J. King, and A. Cloninger.
    Nonclosedness of the Set of Neural Networks in Sobolev Space
    Neural Networks, 137 :85-96, 2021.
  12. S. Dittmer, E. King, P. Maass.
    Singular values for ReLU layers.
    IEEE Transactions on Neural Networks and Learning Systems, 31 (9): 3594-3605, 2020.
  13. 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.
  14. E. King, X. Tang.
    New Upper Bounds for Equiangular Lines by Pillar Decomposition.
    SIAM Journal on Discrete Mathematics, 33 (4): 2479-2508, 2019.
  15. 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.
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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

  1. Victoria Paternostro, Emily J. King, and Rocío Nores.
    The Density of Gabor Systems in Expansible Locally Compact Abelian Groups.
    In Pamela E. Harris, Jaqueline G. Mesquita, and Yuriko Pitones, editors,
    Women in Mathematics in Latin America, Trends in Mathematics, 14 :139–162, Birkhäuser, Cham, 2026.
    DOI: 10.1007/978-3-031-97857-9_14 .
  2. Huma Jamil, Yajing Liu, Christina M. Cole, Nathaniel Blanchard, Emily J. King, Michael Kirby, and Christopher Peterson.
    Dual Graphs of Polyhedral Decompositions for the Detection of Adversarial Attacks.
    IEEE International Conference on Big Data, 2913–2921, 2022.
  3. N. Mankovich, E. King, C. Peterson, M. Kirby.
    The Flag Median and FlagIRLS.
    Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 10339–10347, 2022.
  4. J. Jasper, E. King, D. Mixon.
    Game of Sloanes: Best known packings in complex projective space.
    Proc. SPIE 11138, Wavelets and Sparsity XVIII, 2019.
  5. E. King
    2- and 3-Covariant Equiangular Tight Frames .
    2019 13th International conference on Sampling Theory and Applications (SampTA), IEEE, 2019
  6. S. Schulze, E. King.
    A Frequency-Uniform and Pitch-Invariant Time-Frequency Representation .
    Proc. Appl. Math. Mech., 19: Wiley, 2019.
  7. 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.
  8. 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
  9. 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 .
  10. 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 . 
  11. 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
  12. 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 .
  13. 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
  14. 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
  15. 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 .
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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

  1. E. King. 
    New Constructions and Characterizations of Flat and Almost Flat Grassmannian Fusion Frames .
  2. S. Schulze and E. King
    Formulating Beurling LASSO for Source Separation via Proximal Gradient Iteration.
    2022.
  3. E. King
    Grassmannian Fusion Frames.
    2013.
  4. E. King
    A Matricial Algorithm for Polynomial Refinement.
    2011.