Martin Ehler Head of Vienna Research Group for Young Investigators

University of Vienna Faculty of Mathematics Oskar-Morgenstern-Platz 1 A-1090 Vienna Room: 05.127 Phone: +43 1 4277 50729 martin.ehler'at'univie.ac.at

Sprechstunde: nach Vereinbarung

Computational harmonic analysis of high-dimensional biomedical data (CHARMED)

WWTF Program Mathematics and ... ,
in collaboration with the Vienna Reading Center (VRC) at the Department of Ophthalmology and Optometry of the Medical University of Vienna and with the Acoustics Research Institute (ARI) of the Austrian Academy of Sciences.

The research group is integrated into the NuHAG.

Selected publications:

• 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)
  Eye, Springer Nature.
• M. Ehler, J. Dobrosotskaya, et al.: Modeling photo-bleaching kinetics to create high resolution maps of rod rhodopsin in the human retina, (e-paper)
  PLoS ONE, vol. 10 (2015), no. 7, e0131881.
• C. Bachoc, M. Ehler: Signal reconstruction from the magnitude of subspace components, (arXiv:1209.5986)
  IEEE Trans. Inform. Theory, vol. 61 (2015), no. 7, 1-13.
• M. Ehler, M. Fornasier, J. Sigl: Quasi-linear compressed sensing, (arXiv:1311.1642v1)
  SIAM Multiscale Modeling and Simulation, vol. 12 (2014), no. 2, 725-754.
• W. Czaja, M. Ehler: Schroedinger Eigenmaps for the analysis of bio-medical data, (arXiv:1102.4086)
  IEEE Trans. Pattern Anal. Mach. Intell. vol. 35 (2013), no. 5, 1274-1280.
• J. J. Benedetto, W. Czaja, M. Ehler: Wavelet Packets for time-frequency analysis of multi-spectral images,
  International Journal on Geomathematics (GEM), vol. 4 (2013), 137-154.
• M. Ehler: Nonlinear approximation associated with nonseparable wavelet bi-frames, (pdf)
  J. Approx. Theory. vol. 161 (2009), no. 1, 292-313.
• M. Ehler and B. Han: Wavelet bi-frames with few generators from multivariate refinable functions, (pdf)
  Appl. Comput. Harmon. Anal., vol. 25 (2008), no. 3, 407-414.