72 citations · 101 across the 9 of their papers we have counts for
9 papers
Percentile-based probabilistic optimization for systematic and random uncertainties in radiation therapy
Albin Fredriksson, Erik Engwall, Jenneke de Jong +1
Geometric uncertainty can degrade treatment quality in radiation therapy. While margins and robust optimization mitigate these effects, they provide only implicit control over clin…
Krylov Solvers for Interior Point Methods with Applications in Radiation Therapy and Support Vector Machines
Felix Liu, Albin Fredriksson, Stefano Markidis
Interior point methods are widely used for different types of mathematical optimization problems. Many implementations of interior point methods in use today rely on direct linear…
Parallel Cholesky Factorization for Banded Matrices using OpenMP Tasks
Felix Liu, Albin Fredriksson, Stefano Markidis
Cholesky factorization is a widely used method for solving linear systems involving symmetric, positive-definite matrices, and can be an attractive choice in applications where a h…
Implications of Clinical Target Distribution Weighted Radiotherapy Optimization
Ivar Bengtsson, Anders Forsgren, Albin Fredriksson
Delineating and planning with respect to regions suspected to contain microscopic tumor cells is an inherently uncertain task in radiotherapy. The recently proposed \textit{clinica…
Optimizing for the Rupert property
Albin Fredriksson
A polyhedron is Rupert if it is possible to cut a hole in it and thread an identical polyhedron through the hole. It is known that all 5 Platonic solids, 10 of the 13 Archimedean s…
Distributed Objective Function Evaluation for Optimization of Radiation Therapy Treatment Plans
Felix Liu, Måns I. Andersson, Albin Fredriksson +1
The modern workflow for radiation therapy treatment planning involves mathematical optimization to determine optimal treatment machine parameters for each patient case. The optimiz…
Accelerating Radiation Therapy Dose Calculation with Nvidia GPUs
Felix Liu, Niclas Jansson, Artur Podobas +2
Radiation Treatment Planning (RTP) is the process of planning the appropriate external beam radiotherapy to combat cancer in human patients. RTP is a complex and compute-intensive…
The scenario-based generalization of radiation therapy margins
Albin Fredriksson, Rasmus Bokrantz
We give a scenario-based treatment plan optimization formulation that is equivalent to planning with geometric margins if the scenario doses are calculated using the static dose cl…
Necessary and sufficient conditions for Pareto efficiency in robust multiobjective optimization
Rasmus Bokrantz, Albin Fredriksson
We provide necessary and sufficient conditions for robust efficiency (in the sense of Ehrgott et al. (2014)) to multiobjective optimization problems that depend on uncertain parame…