J
Joel A. Tropp
Researcher at California Institute of Technology
Publications - 182
Citations - 53704
Joel A. Tropp is an academic researcher from California Institute of Technology. The author has contributed to research in topics: Matrix (mathematics) & Convex optimization. The author has an hindex of 67, co-authored 173 publications receiving 49525 citations. Previous affiliations of Joel A. Tropp include Rice University & University of Michigan.
Papers
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Proceedings ArticleDOI
Construction of equiangular signatures for synchronous CDMA systems
TL;DR: An alternating projection algorithm that can design WBE sequences that satisfy equiangular side constraints is presented, and it is shown that this algorithm converges to a fixed point, and these fixed points are partially characterized.
Journal ArticleDOI
A comparison principle for functions of a uniformly random subspace
TL;DR: In this paper, it was shown that it is possible to bound the expectation of a random matrix drawn from the Stiefel manifold in terms of the expected norm of a standard Gaussian matrix with the same dimensions.
Journal ArticleDOI
Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals
TL;DR: In this paper, a random demodulator is proposed for wideband analog signals, which requires O(K log(W/K) samples per second to stably reconstruct the signal.
Posted Content
Improved analysis of the subsampled randomized Hadamard transform
TL;DR: An improved analysis of a structured dimension-reduction map called the subsampled randomized Hadamard transform is presented, and it offers optimal constants in the estimate on the number of dimensions required for the embedding.
Posted Content
Second-Order Matrix Concentration Inequalities
TL;DR: In this paper, the authors identify one of the sources of the dimensional term and exploit this insight to develop sharper matrix concentration inequalities, which use information beyond the matrix variance to reduce or eliminate the dimensional dependence.