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    • Sparse Fast Trigonometric Transforms 

      Bittens, Sina Vanessa (2019-07-22)
      Trigonometric transforms like the Fourier transform or the discrete cosine transform (DCT) are of immense importance in signal and image processing, physics, engineering, and data processing. The research of past decades ...
    • Compressed Sensing and ΣΔ-Quantization 

      Feng, Joe-Mei (2019-02-11)
      The main issue of my thesis is to bound the error while recovering signals from their compressed and quantized form. Especially my central contribution is that, together with my co-authors, we provide the first analysis ...
    • On two Random Models in Data Analysis 

      James, David (2017-03-02)
      In this thesis, we study two random models with various applications in data analysis. For our first model, we investigate subspaces spanned by biased random vectors. The underlying random model is motivated by applications ...