136 citations · 190 across the 18 of their papers we have counts for
4 papers · 2 filters
Finding sparse solutions of systems of polynomial equations via group-sparsity optimization
Fabien Lauer, Henrik Ohlsson
The paper deals with the problem of finding sparse solutions to systems of polynomial equations possibly perturbed by noise. In particular, we show how these solutions can be recov…
On Conditions for Uniqueness in Sparse Phase Retrieval
Henrik Ohlsson, Yonina C. Eldar
The phase retrieval problem has a long history and is an important problem in many areas of optics. Theoretical understanding of phase retrieval is still limited and fundamental qu…
Nonlinear Basis Pursuit
Henrik Ohlsson, Allen Y. Yang, Roy Dong +1
In compressive sensing, the basis pursuit algorithm aims to find the sparsest solution to an underdetermined linear equation system. In this paper, we generalize basis pursuit to f…
Quadratic Basis Pursuit
Henrik Ohlsson, Allen Y. Yang, Roy Dong +2
In many compressive sensing problems today, the relationship between the measurements and the unknowns could be nonlinear. Traditional treatment of such nonlinear relationships hav…