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Skip to Search Results- 2Convex geometry
- 2Random matrix
- 1Banach-Mazur distance
- 1Compressed sensing
- 1Concentration of measure
- 1Independence numbers
- 1Han, Bin (Mathematical and Statistical Sciences)
- 1Litvak, Alexander (Mathematical and Statistical Sciences)
- 1Nicole Tomczak-Jaegermann (Math. and Stats.)
- 1Tomczak-Jaegermann, Nicole (Mathematical and Statistical Sciences)
- 1Vlad Yaskin (Math. and Stats.)
- 1Wong, Yau S (Mathematical and Statistical Sciences)
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Spring 2016
This thesis is based on six papers.
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Fall 2013
We present some inequalities in convex geometry falling under the broad theme of quantifying complexity, or deviation from particularly pleasant geometric conditions: we give an upper bound for the Banach--Mazur distance between an origin-symmetric convex body and the $n$-dimensional cube which...
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The Strong Restricted Isometry Property of Sub-Gaussian Matrices and the Erasure Robustness Property of Gaussian Random Frames
DownloadSpring 2016
In this thesis we will study the robustness property of sub-gaussian random matrices. We first show that the nearly isometry property will still hold with high probability if we erase a certain portion of rows from a sub-gaussian matrix, and we will estimate the erasure ratio with a given small...