323 citations
- Claremont Graduate UniversityUS16 papers
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- Georgia Institute of TechnologyUS4 papers
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11 papers · 1 filter
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations
Xiaobing Feng, Chiu-Yen Kao, Thomas Lewis
This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully…
Near-optimal compressed sensing guarantees for total variation minimization
Deanna Needell, Rachel Ward
Consider the problem of reconstructing a multidimensional signal from an underdetermined set of measurements, as in the setting of compressed sensing. Without any additional assump…
Paved with Good Intentions: Analysis of a Randomized Block Kaczmarz Method
Deanna Needell, Joel A. Tropp
The block Kaczmarz method is an iterative scheme for solving overdetermined least-squares problems. At each step, the algorithm projects the current iterate onto the solution space…
Quantum Enhancements of Involutory Birack Counting Invariants
Sam Nelson, Veronica Rivera
The involutory birack counting invariant is an integer-valued invariant of unoriented tangles defined by counting homomorphisms from the fundamental involutory birack of the tangle…
Polynomial Birack Modules
Evan Cody, Sam Nelson
Birack modules are modules over an algebra Z[X] associated to a finite birack X. In previous work, birack module structures on Z mod n were used to enhance the birack counting inva…
Signal Space CoSaMP for Sparse Recovery with Redundant Dictionaries
Mark A. Davenport, Deanna Needell, Michael B. Wakin
Compressive sensing (CS) has recently emerged as a powerful framework for acquiring sparse signals. The bulk of the CS literature has focused on the case where the acquired signal…