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Objective: We propose a semiautomatic pipeline for radiation therapy treatment planning, combining ideas from machine learning-automated planning and multicriteria optimization (MCO). Approach: Using knowledge extracted from historically…

Medical Physics · Physics 2022-02-16 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

In many real world problems, optimization decisions have to be made with limited information. The decision maker may have no a priori or posteriori data about the often nonconvex objective function except from on a limited number of points…

Optimization and Control · Mathematics 2011-11-10 Tansu Alpcan

In the past decades mathematical optimization has found its way into radiation therapy and has made profound practice changing impact. Today, virtually all advanced treatment delivery methods, such as IMRT, VMAT, tomotherapy, LDR/HDR…

Medical Physics · Physics 2018-10-31 Bram L. Gorissen , Jan Unkelbach , Thomas R. Bortfeld

Inverse optimization seeks to recover unknown objective parameters from observed decisions, yet fundamental questions about when recovery is possible have received limited formal treatment. This paper develops a comprehensive theoretical…

Optimization and Control · Mathematics 2026-03-19 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

Proton pencil beam scanning (PBS) treatment planning for head & neck (H&N) cancers involves numerous conflicting objectives, requiring iterative objective parameter adjustments to balance multiple clinical goals. We propose a…

Artificial Intelligence · Computer Science 2025-09-16 Qingqing Wang , Liqiang Xiao , Chang Chang

The problem of chemotherapy treatment optimization can be defined in order to minimize the size of the tumor without endangering the patient's health; therefore, chemotherapy requires to achieve a number of objectives, simultaneously. For…

Neural and Evolutionary Computing · Computer Science 2023-03-21 Mina Jafari , Behnam Ghavami , Vahid Sattari Naeini

Radiotherapy inverse planning often requires planners to modify parameters in the treatment planning system's objective function to produce clinically acceptable plans. Due to the manual steps in this process, plan quality can vary…

Medical Physics · Physics 2022-05-11 Kelsey Maass , Aleksandr Aravkin , Minsun Kim

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

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Radiation therapy is a critical component of cancer treatment. However, the delivery of radiation poses inherent challenges, particularly in minimizing radiation exposure to healthy organs surrounding the tumor site. One significant…

Optimization and Control · Mathematics 2024-01-22 Keshav Kumar K. , NVSL Narasimham

Radiation treatment planning involves optimization over a large number of voxels, many of which carry limited information about the clinical problem. We propose an approach to reduce the large optimization problem by only using a…

Medical Physics · Physics 2024-08-12 Sebastian Mair , Anqi Fu , Jens Sjölund

We present an optimization-based approach to radiation treatment planning over time. Our approach formulates treatment planning as an optimal control problem with nonlinear patient health dynamics derived from the standard linear-quadratic…

Medical Physics · Physics 2022-05-17 Anqi Fu , Lei Xing , Stephen Boyd

Optimal treatment rules can improve health outcomes on average by assigning a treatment associated with the most desirable outcome to each individual. Due to an unknown data generation mechanism, it is appealing to use flexible models to…

Methodology · Statistics 2023-11-21 Lingjie Shen , Gijs Geleijnse , Maurits Kaptein

Fluence map optimization for intensity-modulated radiation therapy planning can be formulated as a large-scale inverse problem with competing objectives and constraints associated with the tumors and organs-at-risk. Unfortunately,…

Optimization and Control · Mathematics 2022-02-17 Kelsey Maass , Minsun Kim , Aleksandr Aravkin

Many systems require optimisation over multiple objectives, where objectives are characteristics of the system such as energy consumed or increase in time to perform the work. Optimisation is performed by selecting the `best' set of input…

Performance · Computer Science 2019-10-08 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

The number of new cancer cases is expected to increase by about 50% in the next 20 years, and the need for chemotherapy treatments will increase accordingly. Chemotherapy treatments are usually performed in outpatient cancer centers where…

Optimization and Control · Mathematics 2023-09-15 Giuliana Carello , Mauro Passacantando , Elena Tanfani

Optimization is an essential component for solving problems in wide-ranging fields. Ideally, the objective function should be designed such that the solution is unique and the optimization problem can be solved stably. However, the…

Robotics · Computer Science 2020-07-27 Takayuki Osa

Volumetric modulated arc therapy planning is a challenging problem in high-dimensional, non-convex optimization. Traditionally, heuristics such as fluence-map-optimization-informed segment initialization use locally optimal solutions to…

Machine Learning · Computer Science 2021-11-17 Noah Bice , Mohamad Fakhreddine , Ruiqi Li , Dan Nguyen , Christopher Kabat , Pamela Myers , Niko Papanikolaou , Neil Kirby

It is a very challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists.…

Optimization and Control · Mathematics 2021-03-05 Bennet Gebken , Sebastian Peitz

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang