27 citations · 138 across the 24 of their papers we have counts for
5 papers · 1 filter
Convergence of dual ascent in non-convex/non-differentiable optimization
Fredrik Andersson, Marcus Carlsson, Carl Olsson
We revisit the classical dual ascent algorithm for minimization of convex functionals in the presence of linear constraints, and give convergence results which apply even for non-c…
On convexification/optimization of functionals including an l2-misfit term
Marcus Carlsson
We provide theory for computing the lower semi-continuous convex envelope of functionals of the type f(x) plus an l2 misfit, and discuss applications to various non-convex optimiza…
Convex envelopes for fixed rank approximation
Fredrik Andersson, Marcus Carlsson, Carl Olsson
A convex envelope for the problem of finding the best approximation to a given matrix with a prescribed rank is constructed. This convex envelope allows the usage of traditional op…
Fast hyperbolic Radon transform represented as convolutions in log-polar coordinates
Viktor V. Nikitin, Fredrik Andersson, Marcus Carlsson +1
The hyperbolic Radon transform is a commonly used tool in seismic processing, for instance in seismic velocity analysis, data interpolation and for multiple removal. A direct imple…
Fixed-point algorithms for frequency estimation and structured low rank approximation
Fredrik Andersson, Marcus Carlsson
We develop fixed-point algorithms for the approximation of structured matrices with rank penalties. In particular we use these fixed-point algorithms for making approximations by s…