Publications

Preprints

  • Convergence of alternating minimisation algorithms for dictionary learning
    S. Ruetz and K. Schnass
    arXiv:2304.01768, 2023. [pdf]

  • Non-asymptotic bounds for inclusion probabilities in rejective sampling
    S. Ruetz and K. Schnass
    arXiv:2212.09391, 2022. [pdf]

  • Adapted variable density subsampling for compressed sensing
    S. Ruetz
    arXiv:2206.13796, 2022. [pdf]

Journal

  • Dictionary learning - from local towards global and adaptive
    M.C. Pali and K. Schnass
    Information and Inference: A Journal of the IMA, 12(3):1295-1346, 2023. [v1pdf] [v2pdf] [toolbox]

  • Deep supervised dictionary learning by algorithmic unrolling - application to fast 2D dynamic MR image reconstruction
    A. Kofler, M.C. Pali, T. Schaeffter and C. Kolbitsch
    Medical Physics, 50(5):2939-2960, 2023. [link]

  • Average performance of OMP and Thresholding under dictionary mismatch
    M.C. Pali, S. Ruetz and K. Schnass
    IEEE Signal Processing Letters, 29:1077-1081, 2022. [pdf]

  • Submatrices with non-uniformly selected random supports and insights into sparse approximation
    S. Ruetz and K. Schnass
    SIAM Journal on Matrix Analysis and Applications (SIMAX), 42(3):1268-1289, 2021. [pdf]

  • Adaptive sparsity level and dictionary size estimation for image reconstruction in accelerated 2D radial cine MRI
    M.C. Pali, T. Schaeffter, C. Kolbitsch and A. Kofler
    Medical Physics, 48(1):178-192, 2021. [pdf] [editor's choice] [toolbox]

  • Compressed dictionary learning
    K. Schnass and F. Teixeira
    Journal of Fourier Analysis and Applications 26, Art. Nr. 33, 2020. [pdf] [probox] [toybox]

  • Monotonicity of escape probabilities for branching random walks on Zd
    A. Tzioufas
    Statistics and Probability Letters 167, 2020. [pdf]

  • Compressive time-of-flight 3D imaging using block-structured sensing matrices
    S. Antholzer, C. Wolf, M. Sandbichler, M. Dielacher and M. Haltmeier
    Inverse Problems, 35(4), 2019. [pdf]

  • Online and stable learning of analysis operators
    M. Sandbichler and K. Schnass
    IEEE Transactions on Signal Processing, 67(1):41--53, 2019. [pdf] [toolbox]

  • Average performance of Orthogonal Matching Pursuit (OMP) for sparse approximation
    K. Schnass
    IEEE Signal Processing Letters (arXiv:1809.06684), 25(12):1865--1869, 2018. [pdf]

  • Fast dictionary learning from incomplete data
    V. Naumova and K. Schnass
    EURASIP Journal on Advances in Signal Processing, 2018. [pdf] [toolbox]

  • A sparsification and reconstruction strategy for compressed sensing photoacoustic tomography
    M. Haltmeier, M. Sandbichler, T. Berer, J. Bauer-Marschallinger, P. Burgholzer and L. Nguyen
    The Journal of the Acoustical Society of America, 143(6), 2018. [pdf]

  • Convergence radius and sample complexity of ITKM algorithms for dictionary learning
    K. Schnass
    Applied and Computational Harmonic Analysis, 45(1):22–58, 2018. [pdf] [toolbox]

Conference

  • A good reason for using OMP: average case results
    K. Schnass
    SPARS19. [extended abstract]

  • The adaptive dictionary learning toolbox
    C. Rusu and K. Schnass
    SPARS19. [extended abstract]

  • Relaxed contractivity conditions for dictionary learning via Iterative Thresholding and K residual Means
    M.C. Pali, K. Schnass and A. Steinicke
    SPARS19. [extended abstract]

  • Sequential learning of analysis operators
    M. Sandbichler and K. Schnass
    SPARS17. [extended abstract]

  • Compressed dictionary learning
    F. Teixeira and K. Schnass
    SPARS17. [extended abstract]

  • Dictionary learning from incomplete data for efficient image restoration
    V. Naumova and K. Schnass
    EUSIPCO17. [pdf] [toolbox]

  • Compressive time-of-flight imaging
    S. Antholzer, C. Wolf, M. Sandbichler, M. Dielacher and M. Haltmeier
    SampTA17. [link]

Book Chapter

  • Total variation minimization in compressed sensing
    F. Krahmer, C. Kruschel and M. Sandbichler
    In: Boche H., Caire G., Calderbank R., März M., Kutyniok G., Mathar R. (eds) Compressed Sensing and its Applications, Applied and Numerical Harmonic Analysis, pppp 333-358, Birkhäuser, Cham, 2017. [pdf]

PhD-theses

  • Compressed sensing and dictionary learning with non-uniform support distribution
    S. Ruetz
    PhD thesis, University of Innsbruck, 2022. [pdf]

  • Dictionary learning & sparse modelling
    M.C. Pali
    PhD thesis, University of Innsbruck, 2021. [pdf]

  • Compressed sensing, sparsity and related topics
    M. Sandbichler
    PhD thesis, University of Innsbruck, 2018. [pdf]

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