Own homepage

Teaching

• Research seminar: Numerical Analysis (English) (SS 2015)
  Monday, 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerical Analysis (English) (WS 2014/2015)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerical Analysis (English) (SS 2014)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Lecture: Einführung in die Optimierung (German) (SS 2014)
  Tuesday and Friday 8:15 - 8:55, Seminarraum 2 (NAM) (Lecture: 4 SWS + Exercises: 2 SWS / 9 ECTS)
  
• Research seminar: Numerical Analysis (English) (WS 2013/2014)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Lecture: Mathematical signal processing for biophysical applications (English) (WS 2013/2014)
  Monday and Thursday 10:15 - 11:55, Seminarraum NAM (Lecture: 4 SWS + Exercises: 2 SWS / 9 ECTS)
  
• Lecture: Funktionalanalysis (German) (SS 2013)
  Monday and Thursday 12.15 - 13.55, MN 67 (Lecture: 4 SWS + Exercises: 2 SWS / 9 ECTS)
  
• Research seminar: Numerical Analysis (English) (SS 2013)
  Wednesday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Lecture: Compressed Sensing (English) (WS 2012/2013)
  Wednesday 16.15-17.45, MN 68 (2 SWS / 6 ECTS)
  
• Seminar: Algorithmen zur dünnbesetzten Approximation (German and English) (WS 2012/2013)
  Block seminar in October 2012, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerical Analysis (English) (WS 2012/2013)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Lecture: Random Matrix Theory (English) (SS 2012)
  Monday 10.15 - 12.00 (2 SWS)
  
• Seminar: Frame Theory (English) (SS 2012)
  Tuesday 10.15 - 11.45 (2 SWS)
  
• Research seminar: Numerical Analysis (English) (SS 2012)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  

Publications

• Sparse Power Factorization: Balancing peakiness and sample complexity
  Dominik Stöger, Jakob Geppert, Felix Krahmer
  Advances in Computational Mathematics 45(3), 1711--1728, 2019 (preprint available at arXiv)
• Sparse Power Factorization With Refined Peakiness Conditions
  Dominik Stöger, Jakob Geppert, Felix Krahmer
  2018 IEEE Statistical Signal Processing Workshop (SSP), 2018 (See at IEEE Xplore)
• Refined performance guarantees for Sparse Power Factorization
  Jakob Geppert, Felix Krahmer, Dominik Stöger
  2017 International Conference on Sampling Theory and Applications (SampTA), 2017 (See at IEEE Xplore)
• Fast Subspace Approximation via Greedy Least-Squares
  M. Iwen, Felix Krahmer
  Constructive Approximation 42(2), 281-301, 2015 (preprint as download)
• A Partial Derandomization of PhaseLift using Spherical Designs
  D. Gross, Felix Krahmer, R. Küng
  J. Fourier Anal. Appl. 21(2), 229-266, 2015 (preprint as download)
• An RIP approach to Sigma-Delta quantization for compressed sensing
  Joe-Mei Feng, Felix Krahmer
  IEEE Signal Process. Lett. 21(11), 1351-1355, 2014 (preprint as download)
• Sparse Matrices in Frame Theory
  Felix Krahmer, G. Kutyniok, J. Lemvig
  Computational Statistics 29, 547-568, 2014 (preprint as download)
• Suprema of Chaos Processes and the Restricted Isometry Property
  Felix Krahmer, S. Mendelson, H. Rauhut
  Comm. Pure Appl. Math. 67(11), 1877-1904, 2014 (preprint as download)
• Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing
  Felix Krahmer, R. Saab, Ö. Yilmaz
  Inform. Inference 3(1), 40-58, 2014 (preprint as download)
• Local sampling and approximation of operators with bandlimited Kohn-Nirenberg symbols
  Felix Krahmer, G. Pfander
  Constr. Approx. 39(3), 541-572, 2014 (preprint as download)
• Stable and robust sampling strategies for compressive imaging
  Felix Krahmer, R. Ward
  IEEE Trans. Image Proc. 23(2): 612-622, 2014 (preprint as download)
• Sparsity and spectral properties of dual frames
  Felix Krahmer, G. Kutyniok, J. Lemvig
  Linear Algebra and its Applications 439(4), 2013 (982-998, preprint as download)
• Lower bounds for the error decay incurred by coarse quantization schemes
  Felix Krahmer, Rachel Ward
  Appl. Comput. Harmonic Anal. 32(1), 2012 (131-138, preprint as download)
• Root-exponential accuracy for coarse quantization of finite frame expansions
  Felix Krahmer, R. Saab, Rachel Ward
  IEEE J. Inf. Theo. 58(2), 2012 (1069-1079, preprint as download)
• SqFreeEVAL: An (almost) optimal real-root isolation algorithm
  M. Burr, Felix Krahmer
  Journal of Symbolic Computation 47(2), 2012 (153-166, preprint as download)
• An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes
  Percy Deift, C. Sinan Güntürk, Felix Krahmer
  Comm. Pure Appl. Math. 64(7), 2011 (883-919, preprint as download)
• New and improved Johnson-Lindenstrauss embeddings via the Restricted Isometry Property
  Felix Krahmer, Rachel Ward
  SIAM J. Math. Anal. 43(3), 2011 (1269-1281, preprint as download)
• Optimally sparse frames
  Peter Casazza, P. Heinecke, Felix Krahmer, Gitta Kutyniok
  IEEE J. Inf. Theo. 57(11), 2011 (7279-7287, preprint as download)
• Novel Schemes for Sigma-Delta Modulation: Improved Exponential Accuracy to Low-Complexity Design
  Felix Krahmer
  New York University, 2009 (PhD thesis)
• Uncertainty in time-frequency representations on finite abelian groups and applications
  Felix Krahmer, Götz E. Pfander, Peter Rashkov
  Appl. Comput. Harmon. Anal. 25(2), 2008 (209-225, preprint as download)