Book Chapters

  • A. Breger, M. Ehler, M. Gräf, T. Peter
    Cubatures on Grassmannians: moments, dimension reduction, and related topics, arXiv:1705.02978
    Compressed Sensing and its Applications: MATHEON Workshop 2015 (Applied and Numerical Harmonic Analysis), 2017

  • A. Breger, M. Ehler and M.Gräf
    Quasi Monte Carlo integration and kernel-based function approximation on Grassmannians, arXiv:1605.09165
    Frames and Other Bases in Abstract and Function Spaces, Applied and Numerical Harmonic Analysis series (ANHA), Birkhauser/Springer, (2017).

Peer-reviewed

  • A. Breger, M. Ehler and M.Gräf
    Points on manifolds with asymptotically optimal covering radius, arxiv:1607.06899
    Journal of Complexity (2018)

  • A. Breger, M. Ehler, H. Bogunovic, S.M. Waldstein, A. Philip, U. Schmidt-Erfurth, B.S. Gerendas
    Supervised learning and dimension reduction techniques for quantification of retinal fluid in optical coherence tomography images, Epub
    2017, Eye, Springer Nature.

Preprints

  • A. Breger, J. I. Orlando, P. Harar, M. Doerfler, S. Klimscha, C. Grechenig, B. S. Gerendas, U. Schmidt-Erfurth, and M. Ehler
    On orthogonal projections for dimension reduction and applications in variational loss functions for learning problems (2019), arxiv:1901.07598

International conference presentations

  • A. Breger, M.Ehler
    Dimension reduction in learning tasks,
    Talk at 90th Annual Meeting of GAMM, Wien (2019)

  • A. Breger
    Learning and dimension reduction in medical image analysis,
    Poster presentation at SIAM Conference on Imaging Science, Bologna (2018)

  • A. Breger, M. Ehler
    Specific orthogonal projections for dimension reducing preprocessing in learning tasks,
    Talk at 89th Annual Meeting of GAMM, Munich (2018)

  • A. Breger
    Dimension Reduction and Automated Evaluation in Retinal OCT volumes,
    Talk and poster presentation at the 11th international joint conference on biomedical engineering systems and technologies, Funchal (2018).

    Awarded for the best PhD project at Biostec 2018 Awardlist Biostec

  • A. Breger, M. Ehler
    Mathematical image processing for automated evaluation in Retinal OCT volumes,
    Poster presentation at 1st Interscience Symposium of the Vienna Doctoral Schools, Wien (2017).

  • A. Breger, M. Ehler
    Sampling in Grassmannians,
    Poster presentation at SampTA, 12th international Conference on Sampling Theory and Applications, Tallin (2017).

  • A. Breger, M. Ehler, H. Bogunovic, S.M. Waldstein, A. Philip, U. Schmidt-Erfurth, B.S. Gerendas
    A supervised learning pipeline for quantification of retinal fluid in medical OCT images,
    Talk at 88th Annual Meeting of GAMM, Weimar (2017).

  • A. Breger, H. Bogunovic, B.S. Gerendas, U. Schmidt-Erfurth, M. Ehler
    An efficient learning pipeline for quantification of retinal fluid in spectral-domain optical coherence tomography images.
    Poster presentation at 2nd IMA Conference on the Mathematical Challenges of Big Data, London (2016).

Other

  • A. Breger
    On image segmentation and applications in clinical retinal analysis.
    Master's thesis, University of Vienna, 2015. E-Thesis