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Uncertainties such as setup and range errors can significantly compromise proton therapy. A discrete uncertainty set is often constructed to represent different uncertainty scenarios. A min-max robust optimization approach is then utilized…

Optimization and Control · Mathematics 2025-08-12 Zihang Qiu , Ali Ajdari , Mislav Bobić , Thomas Bortfeld , Dick den Hertog , Jannis Kurtz , Hoyeon Lee

The steep dose gradients obtained with pencil beam scanning allow for precise tumor targeting at the cost of high sensitivity to uncertainties. Robust optimization is commonly applied to mitigate uncertainties in density and patient setup,…

Medical Physics · Physics 2024-11-26 Ivar Bengtsson , Anders Forsgren , Albin Fredriksson , Ye Zhang

Purpose: We present a framework for robust automated treatment planning using machine learning, comprising scenario-specific dose prediction and robust dose mimicking. Methods: The scenario dose prediction pipeline is divided into the…

Medical Physics · Physics 2022-10-12 Oskar Eriksson , Tianfang Zhang

Robust optimisation is a well-established framework for optimising functions in the presence of uncertainty. The inherent goal of this problem is to identify a collection of inputs whose outputs are both desirable for the decision maker,…

Optimization and Control · Mathematics 2025-05-27 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

We summarize recent results and ongoing activities in mathematical algorithms and computer science methods related to proton computed tomography (pCT) and intensity-modulated particle therapy (IMPT) treatment planning. Proton therapy…

Medical Physics · Physics 2021-08-24 Yair Censor , Keith E. Schubert , Reinhard W. Schulte

Purpose: Patient-specific ridge filters can modulate proton energy to obtain a conformal dose. We describe a new framework for optimization of filter design and spot maps to meet the unique demands of FLASH radiotherapy. We demonstrate an…

Background: Multi-collimator proton minibeam radiation therapy (MC-pMBRT) has recently emerged as a versatile technique for dose shaping, enabling peak-valley dose patterns in organs-at-risk (OAR) while maintaining a uniform dose…

Medical Physics · Physics 2025-02-25 Nimita Shinde , Weijie Zhang , Yuting Lin , Hao Gao

We developed a novel method of creating intensity modulated proton arc therapy (IMPAT) plans that uses computing resources efficiently and may offer a dosimetric benefit for patients with ependymoma or similar tumor geometries. Our IMPAT…

Treatment planning uncertainties are typically managed using margin-based or robust optimization. Margin-based methods expand the clinical target volume (CTV) to a planning target volume, generally unsuited for proton therapy. Robust…

Purpose: The importance of robust proton treatment planning to mitigate the impact of uncertainty is well understood. However, its computational cost grows with the number of uncertainty scenarios, prolonging the treatment planning process.…

Medical Physics · Physics 2023-05-01 Anqi Fu , Vicki T. Taasti , Masoud Zarepisheh

Radiotherapy treatment planning is a challenging large-scale optimization problem plagued by uncertainty. Following the robust optimization methodology, we propose a novel, spatially based uncertainty set for robust modeling of radiotherapy…

Optimization and Control · Mathematics 2024-05-28 Noam Goldberg , Mark P. Langer , Shimrit Shtern

The study of online algorithms with machine-learned predictions has gained considerable prominence in recent years. One of the common objectives in the design and analysis of such algorithms is to attain (Pareto) optimal tradeoffs between…

Machine Learning · Computer Science 2024-08-09 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Yanni Lefki

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell

Decision making needs to take an uncertain environment into account. Over the last decades, robust optimization has emerged as a preeminent method to produce solutions that are immunized against uncertainty. The main focus in robust…

Optimization and Control · Mathematics 2021-02-11 Marc Goerigk , Michael Hartisch

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

Machine Learning · Computer Science 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani

Background: Dose calculation and optimization algorithms in proton therapy treatment planning often have high computational requirements regarding time and memory. This can hinder the implementation of efficient workflows in clinics and…

Medical Physics · Physics 2023-04-18 D. Pross , S. Wuyckens , S. Deffet , E. Sterpin , J. A. Lee , K. Souris

Traditional robust multi-objective optimization methods typically prioritize convergence while treating robustness as a secondary consideration. This approach can yield solutions that are not genuinely robust optimal under noise-affected…

Computational Engineering, Finance, and Science · Computer Science 2025-12-01 Lihong Xu , Wenxiang Jiang

We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

Machine Learning · Computer Science 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári

Multicriteria adjustable robust optimization (MARO) problems arise in a wide variety of practical settings, for example, in the design of a building's energy supply. However, no general approaches, neither for the characterization of…

Optimization and Control · Mathematics 2024-06-13 Elisabeth Halser , Elisabeth Finhold , Neele Leithäuser , Jan Schwientek , Katrin Teichert , Karl-Heinz Küfer