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Publikationen von Prof. Dr. Emily King

Zeitschriftenartikel (12)

  1. S. Schulze, J. Leuschner, E. King.
    Blind Source Separation in Polyphonic Music Recordings Using Deep Neural Networks Trained via Policy Gradients.
    MDPI Open Access Journals Signals, 2(4):637-661, 2021.

    DOI: 10.3390/signals2040039
    online unter: https://www.mdpi.com/2624-6120/2/4/39

  2. 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, 6:2-25, 2021.

    DOI: 10.1186/s13636-020-00190-4
    online unter: https://rdcu.be/ceo1J

  3. S. Dittmer, E. King, P. Maaß.
    Singular values for ReLU layers.
    IEEE Transactions on Neural Networks and Learning Systems, Article , 2019.

    online unter: https://ieeexplore.ieee.org/document/8891761

  4. M. Fickus, J. Jasper, E. King, D. Mixon.
    Equiangular tight frames that contain regular simplices.
    Linear Algebra and its Applications, 555, 98–138 S., Elsevier, 2018.

    DOI: 10.1016/j.laa.2018.06.004

  5. 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 in Journal of Mathematical Sciences, 234:158-169 (2018)

    DOI: 10.1007/s10958-018-3992-9
    online unter: ftp://ftp.pdmi.ras.ru/pub/publicat/znsl/v455/p067.pdf

  6. R. Reisenhofer, E. King, J. Kiefer.
    Shearlet-Based Detection of Flame Fronts.
    Experiments in Fluids, 57(3):41:1-41:14, Springer Verlag, 2016.

    DOI: 10.1007/s00348-016-2128-6

  7. 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

  8. W. Czaja, E. King.
    Anistropic shearlet transforms for L²(ℝk).
    Mathematische Nachrichten, 287(8):903-916, 2014.

    DOI: 10.1002/mana.201000035

  9. E. King.
    Smooth parseval frames for L²(ℝ) and generalizations to L²(ℝd) .
    International Journal of Wavelets, Multiresolution and Information Processing, 11(6), World Scientific, 2013.

    DOI: 10.1142/S0219691313500471

  10. W. Czaja, E. King.
    Isotropic shearlet analogs for L²(ℝk) and localization operators.
    Numerical Functional Analysis and Optimization, 33:872-905, 2012.

    DOI: 10.1080/01630563.2012.682137

  11. E. King, M. Skopina.
    Quincunx multiresolution analysis for L²(ℚ22).
    p-Adic Numbers, Ultrametric Analysis and Applications, 2(3):222-231, 2010.

    DOI: 10.1134/S2070046610030040

  12. J. Benedetto, E. King.
    Smooth functions associated with wavelet sets on ℝd, d≥1, and frame bound gaps.
    Acta Applicandae Mathematicae, 107(1):121-142, 2009.

    DOI: 10.1007/s10440-008-9412-2

Preprints (7)

  1. S. Schulze, E. King.
    Formulating Beurling LASSO for Source Separation via Proximal Gradient Iteration.
    Zur Veröffentlichung eingereicht.

    online unter: https://doi.org/10.48550/arXiv.2202.08082

  2. E. King.
    2- and 3-Covariant Equiangular Tight Frames.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1901.10612

  3. E. King.
    Constructing Subspace Packings from Other Packings.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1902.07145

  4. R. Reisenhofer, E. King.
    Edge, Ridge, and Blob Detection with Symmetric Molecules.
    Zur Veröffentlichung eingereicht.
  5. B. Bodmann, E. King.
    Optimal arrangements of classical and quantum states with limited purity.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1811.11513

  6. E. King.
    New Constructions and Characterizations of Grassmannian Fusion Frames and Packings.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1612.05784

  7. E. King, X. Tang.
    New Upper Bounds for Equiangular Lines by Pillar Decomposition.
    Zur Veröffentlichung eingereicht.

    online unter: https://arxiv.org/abs/1606.03259

Tagungsbeiträge (14)

  1. S. Schulze, E. King.
    A Frequency‐Uniform and Pitch‐Invariant Time‐Frequency Representation.
    90th GAMM Annual Meeting of the international Association of Applied Mathematics and Mechanics (GAMM), 18.02.-22.02.2019, Wien, Österreich.
    Proc. Appl. Math. Mech., 19(1):e201900374, 2019.

    DOI: 10.1002/pamm.201900374

  2. E. King, J. M. Murphy.
    A theoretical guarantee for data completion via geometric separation.
    88th GAMM Annual Meeting of the international Association of Applied Mathematics and Mechanics (GAMM).
    Proc. Appl. Math. Mech., 17:833-834, 2018.

    DOI: 10.1002/pamm.201710384
    online unter: https://arxiv.org/abs/1705.10745

  3. E. King.
    Algebraic and geometric spread in finite frames.
    Wavelets and Sparsity XVI.
    SPIE Proceedings, 9597, 2015.

    DOI: 10.1117/12.2188541

  4. E. King, R. Reisenhofer, J. Kiefer, W. Lim, Z. Li, G. Heygster.
    Shearlet-based edge detection: flame fronts and tidal flats.
    Applications of Digital Image Processing XXXVIII.
    SPIE Proceedings, 9599, 2015.

    DOI: 10.1117/12.2188652

  5. E. King.
    Frame theory for locally compact abelian groups.
    Wavelets and Sparsity XV.
    SPIE Proceedings, 8858, 2013.

    DOI: 10.1117/12.2025018

  6. E. King, G. Kutyniok, W. Lim.
    Image inpainting: theoretical analysis and comparison of algorithms.
    Wavelets and Sparsity XV.
    SPIE Proceedings, 8858, 2013.

    DOI: 10.1117/12.2025401

  7. M. Ehler, J. Dobrosotskaya, E. King, R. Bonner.
    Quantification of retinal chromophores through autofluorescence imaging to identify precursors of age-related macular degeneration.
    The February Fourier Talks at the Norbert Wiener Center.
    Excursions in Harmonic Analysis:, 2:355-371, Birkhäuser, 2013.

    DOI: 10.1007/978-0-8176-8379-5_18

  8. E. King.
    Analysis of inpainting via clustered sparsity and microlocal analysis.
    Applied Harmonic Analysis and Sparse Approximation.
    Oberwolfach Reports, 9(2):1802-1806, 2012.

    DOI: 10.4171/OWR/2012/29

  9. E. King, G. Kutyniok, X. Zhuang.
    Analysis of data separation and recovery problems using clustered sparsity.
    Wavelets and Sparsity XIV.
    SPIE Proceedings, 8138, 2011.

    DOI: 10.1117/12.892723

  10. J. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja.
    Modeling of the rhodopsin bleaching with variational analysis of retinal images.
    Medical Imaging 2011: Image Processing.
    SPIE Proceedings, 7962, 2011.

    DOI: 10.1117/12.878709

  11. M. Ehler, J. Dobrosotskaya, E. King, W. Czaja, R. Bonner.
    Modeling photo-bleaching kinetics to map local variations in rod rhodopsin density.
    Medical Imaging 2011: Computer-Aided Diagnosis.
    SPIE Proceedings, 7963, 2011.

    DOI: 10.1117/12.878421

  12. E. King.
    Shearlets and representation theory (and the Wick calculus).
    Operator Algebras and Representation Theory: Frames, Wavelets and Fractals.
    Oberwolfach Reports, 8:961-963, 2011.

    DOI: 10.4171/OWR/2011/17

  13. M. Ehler, Z. Majumdar, E. King, J. 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

  14. J. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja.
    Sparse representations 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