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EPSRC Centre for Doctoral Training in Analysis

Educational Background

  • 2013: Bachelor’s Degree in Mathematics, Technische Universität Berlin
  • Oct 2015 - Mar 2016: Visiting Researcher, University of Cambridge
  • 2016: Master's Degree in Mathematics, Technische Universität Berlin
  • since 2016: PhD student at CCA, University of Cambridge

Working Experience

  • 2012-2014: Student Teaching Assistant, Technische Unversität Berlin
  • 2014-2016: Student Research Assistant, Technische Unversität Berlin

Research Interests

  • Sampling Theory, Frame Theory, Compressed Sensing, Mathematical Signal Processing, Medical Imaging, Time-Frequency Analysis, Functional and Harmonic Analysis, Machine learning

Publications

  • A.C. Hansen, L. Thesing, On the stable sampling rate for binary measurements and wavelet reconstruction, Applied Computational and Harmonic Analysis (2018), DOI: 10.1016/j.acha.2018.08.004 PDF
  • A.C Hansen, L. Terhaar, Sampling from binary measurements - On Reconstructions from Walsh coefficients, Proceedings of the 6th edition of the Signal Processing with Adaptive Sparse Structured Representations workshop 2017 PDF
  • A.C. Hansen, L. Thesing, Linear reconstructions and the analysis of the stable sampling rate,Sampling Theory in Signal and Image Processing 17, 103–126, 2018 PDF
  • R. Calderbank, A. C. Hansen, L. Thesing, B. Roman, On reconstructions from measurements with binary functions, Compressed Sensing and Its Applications, Birkhäuser, 97-128, 2019 
  • L. Thesing, A.C. Hansen, Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing, arXiv:1909.01143, 2019 PDF
  • L. Thesing, V. Antun, A.C. Hansen, What do AI algorithms actually learn?-On false structures in deep learning, arXiv:1906.01478, 2019 PDF

 

 

 

Publications

On the stable sampling rate for binary measurements and wavelet reconstruction
AC Hansen, L Thesing
– Applied and Computational Harmonic Analysis
(2020)
48,
630
Sampling from Binary Measurements - on Reconstructions from Walsh Coefficients
A Hansen, L Terhaar
– 2017 International Conference on Sampling Theory and Applications (SampTA)
(2017)
256
Linear reconstructions and the analysis of the stable sampling rate
L Thesing, AC Hansen
– Sampling Theory in Signal and Image Processing

Research Group

CCA[Applied]

Room

F2.02

Telephone

01223 760380