English
Related papers

Related papers: Optimal dose calibration in radiotherapy

200 papers

The purpose of this study was to find the most accurate model for radiochromic film dosimetry by comparing different channel independent perturbation models. A model selection approach based on (algorithmic) information theory was followed,…

Medical Physics · Physics 2015-05-05 Ignasi Méndez

Complete reliance on the fitted model in response surface experiments is risky and relaxing this assumption, whether out of necessity or intentionally, requires an experimenter to account for multiple conflicting objectives. This work…

Methodology · Statistics 2023-06-16 Olga Egorova , Steven G. Gilmour

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

We consider optimal design of infinite-dimensional Bayesian linear inverse problems governed by partial differential equations that contain secondary reducible model uncertainties, in addition to the uncertainty in the inversion parameters.…

Optimization and Control · Mathematics 2020-06-23 Alen Alexanderian , Noemi Petra , Georg Stadler , Isaac Sunseri

We consider optimal experimental design (OED) for nonlinear inverse problems within the Bayesian framework. Optimizing the data acquisition process for large-scale nonlinear Bayesian inverse problems is a computationally challenging task…

Numerical Analysis · Mathematics 2024-05-14 Karina Koval , Ruanui Nicholson

Consider the problem of finding an optimal value of some objective functional subject to constraints over numerical domain. This type of problem arises frequently in practical engineering tasks. Nowdays almost all general methods for…

Optimization and Control · Mathematics 2019-09-13 Sergey Karpukhin

Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of non-linear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations…

Methodology · Statistics 2019-05-02 Antony Overstall , David Woods , Ben Parker

This paper describes an inverse shape design method for thermoelastic bodies. With a known equilibrium shape as input, the focus of this paper is the determination of the corresponding initial shape of a body undergoing thermal expansion or…

Numerical Analysis · Mathematics 2019-08-26 Florian Zwicke , Stefanie Elgeti

Effective disease treatment often requires precise control of the release of the active pharmaceutical ingredient (API). In this work, we present a computational inverse design approach to determine the optimal drug composition that yields…

Computational Engineering, Finance, and Science · Computer Science 2025-07-23 Rabia Altunay , Jarkko Suuronen , Eero Immonen , Lassi Roininen , Jari Hämäläinen

Radiation therapy aims to deliver the prescribed amount of dose to a tumour at the same time as sparing the surrounding tissues as much as possible. In charged particle therapy, delivering the prescribed dose is equivalent to delivering the…

Medical Physics · Physics 2018-03-05 Simona Giordanengo , Marco Donetti

An optimal control problem for a model of tumor growth is studied. In a given subdomain, it is required to minimize the density of tumor cells, while the drug concentration in tissue is limited by given minimal and maximal values. Based on…

Optimization and Control · Mathematics 2024-07-12 Andrey Kovtanyuk , Christina Kuttler , Kristina Koshel , Alexander Chebotarev

The complexity of applications addressed with photonic integrated circuits is steadily rising and poses increasingly challenging demands on individual component functionality, performance and footprint. Inverse design methods have recently…

Optics · Physics 2023-05-10 Marco Butz , Adrian S. Abazi , Rene Ross , Benjamin Risse , Carsten Schuck

Performing a computer experiment can be viewed as observing a mapping between the model parameters and the corresponding model outputs predicted by the computer model. In view of this, experimental design for computer experiments can be…

Computation · Statistics 2017-12-29 Chang-Han Rhee , Enlu Zhou , Peng Qiu

The authors propose robust adaptive strategies based on stochastic minimax optimization for a series of simulated treatments on a one-dimensional patient phantom. The plan applied during the first fractions should be able to handle…

Optimization and Control · Mathematics 2018-10-01 Michelle Böck , Anders Forsgren , Kjell Eriksson , Björn Hårdemark

The most prevalent routine for camera calibration is based on the detection of well-defined feature points on a purpose-made calibration artifact. These could be checkerboard saddle points, circles, rings or triangles, often printed on a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Morten Hannemose , Jakob Wilm , Jeppe Revall Frisvad

Designing and optimizing ion optical systems is often a complex and difficult task, which requires the use of computational tools to iterate and converge towards the desired characteristics and performances of the system. Very often these…

Nuclear Experiment · Physics 2015-05-30 Daniel Bazin

We present a method for computing A-optimal sensor placements for infinite-dimensional Bayesian linear inverse problems governed by PDEs with irreducible model uncertainties. Here, irreducible uncertainties refers to uncertainties in the…

Optimization and Control · Mathematics 2020-08-26 Karina Koval , Alen Alexanderian , Georg Stadler

We investigate R-optimal designs for multi-response regression models with multi-factors, where the random errors in these models are correlated. Several theoretical results are derived for Roptimal designs, including scale invariance,…

Methodology · Statistics 2019-10-08 Pengqi Liu , Lucy Gao , Julie Zhou

While the theory of operator approximation with any given accuracy is well elaborated, the theory of {best constrained} constructive operator approximation is still not so well developed. Despite increasing demands from applications this…

Optimization and Control · Mathematics 2018-11-09 Anatoli Torokhti , Pablo Soto-Quiros

The paper is about developing a solver for maximizing a real-valued function of binary variables. The solver relies on an algorithm that estimates the optimal objective-function value of instances from the underlying distribution of…

Machine Learning · Computer Science 2025-11-05 Nimrod Megiddo , Segev Wasserkrug , Orit Davidovich , Shimrit Shtern