Monte Carlo (MC) is rarely used for IMRT plan optimization outside of research centres due to the extensive computational resources or long computation times required to complete the process. Time can be reduced by degrading the statistical precision of the MC dose calculation used within the optimization loop. However, this eventually introduces optimization convergence errors (OCEs). This stu...

In this paper, we consider the problem of minimizing quantum free energies under constraint that density particles is fixed at each point Rd, for any d≥1. We are more particularly interested in characterization minimizer, which a self-adjoint nonnegative trace class operator, and will show it solution to nonlinear self-consistent problem. This question deriving statistical equilibria heart hydr...

Robust optimization (RO) is a common approach to tractably obtain safeguarding solutions for problems with uncertain constraints. In this paper, we study statistical framework integrate data into RO based on learning prediction set using (combinations of) geometric shapes that are compatible established tools and simple data-splitting validation step achieves finite-sample nonparametric guarant...