Publications

My Google Scholar page.

Preprints

  1. Emily J. King, Dustin G. Mixon, Shayne Waldron
    Testing isomorphism between tuples of subspaces.
  2. C. Cox, E. J. King, D. G. Mixon, and H. Parshall
    Uniquely optimal codes of low complexity are symmetric.
  3. E. King. 
    New Constructions and Characterizations of Flat and Almost Flat Grassmannian Fusion Frames.

Journal Articles

  1. 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.
  2. 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.
  3. J. W. Iverson, E. J. King, and D. G. Mixon
    A note on tight projective 2-designs
    To appear, Journal of Combinatorial Designs.
  4. E. J. King.
    Constructing Subspace Packings from Other Packings.
    Linear Algebra and Applications, 625:68-80, 2021.
  5. 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.
  6. S. Mahan, E. J. King, and A. Cloninger.
    Nonclosedness of the Set of Neural Networks in Sobolev Space
    Neural Networks, 137:85-96, 2021.
  7. S. Dittmer, E. King, P. Maass.
    Singular values for ReLU layers.
    IEEE Transactions on Neural Networks and Learning Systems, 31(9): 3594-3605, 2020.
  8. 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.
  9. E. King, X. Tang.
    New Upper Bounds for Equiangular Lines by Pillar Decomposition.
    SIAM Journal on Discrete Mathematics, 33(4): 2479-2508, 2019.
  10. 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.
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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. J. Jasper, E. King, D. Mixon.
    Game of Sloanes: Best known packings in complex projective space.
    Proc. SPIE 11138, Wavelets and Sparsity XVIII, 2019.
  2. E. King
    2- and 3-Covariant Equiangular Tight Frames.
    2019 13th International conference on Sampling Theory and Applications (SampTA), IEEE, 2019
  3. S. Schulze, E. King.
    A Frequency-Uniform and Pitch-Invariant Time-Frequency Representation.
    Proc. Appl. Math. Mech., 19:Wiley, 2019.
  4. 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.
  5. 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
  6. 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.
  7. 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
  8. 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
  9. 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.
  10. 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
  11. 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
  12. 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.
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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