Advanced Physics for Brachytherapy 2018

Summary – Inverse Optimisation

Diversity of Solutions regarding objective function minimisation: ▪ Exact Solver • Linear Programming (LP) (e.g. Simplex) ▪ Deterministic • Gradient based (e.g. Broyden-Fletcher-Goldfarb-Shanno-BFGS,

L-BFGS ➔ HIPO , Fletcher-Reeves-Polak-Ribiere-FRPR) • Gradient-free (e.g. Nelder-Mead Simplex Algorithm, …) ▪ Stochastic/Probabilistic

• Simulating Annealing (SA) ➔ IPSA • Genetic/Evolutionary Algorithms (GA)

Diversity of techniques of dose analysis (sampling points, where values of the objective functions are analysed)