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Probabilistic programming systems enable users to encode model structure and naturally reason about uncertainties, which can be leveraged towards improved Bayesian optimization (BO) methods. Here we present a probabilistic program embedding…

Artificial Intelligence · Computer Science 2019-02-06 Alexander Lavin

In radiation therapy (RT) treatment planning, multi-criteria optimization (MCO) supports efficient plan selection but is usually solved for population-based dosimetric criteria and ignores patient-specific biological risk, potentially…

Medical Physics · Physics 2026-01-09 Mara Schubert , Katrin Teichert , Zhongxing Liao , Thomas Bortfeld , Ali Ajdari

We demonstrate the application of mixture density networks (MDNs) in the context of automated radiation therapy treatment planning. It is shown that an MDN can produce good predictions of dose distributions as well as reflect uncertain…

Medical Physics · Physics 2021-07-06 Viktor Nilsson , Hanna Gruselius , Tianfang Zhang , Geert De Kerf , Michaël Claessens

Optimizing expensive black-box objectives over mixed search spaces is a common challenge across the natural sciences. Bayesian optimization (BO) offers sample-efficient strategies through probabilistic surrogate models and acquisition…

Machine Learning · Computer Science 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

Most commercially available treatment planning systems for brachytherapy operate based on physical dose and do not incorporate fractionation or tissue-specific response. The purpose of this study is to investigate the potential for…

Medical Physics · Physics 2017-12-04 Kaelyn Seeley , I-Chow J. Hsu , Tae Min Hong , J. Adam Cunha

Optimal allocation of scarce resources is a common problem for decision makers faced with choosing a limited number of locations for intervention. Spatiotemporal prediction models could make such decisions data-driven. A recent performance…

Machine Learning · Computer Science 2025-11-06 Kyle Heuton , F. Samuel Muench , Shikhar Shrestha , Thomas J. Stopka , Michael C. Hughes

Project Optimus, an initiative by the FDA's Oncology Center of Excellence, seeks to reform the dose-optimization and dose-selection paradigm in oncology. We propose a dose-optimization design that considers plateau efficacy profiles,…

Applications · Statistics 2025-04-22 Rebecca B. Silva , Bin Cheng , Shing M. Lee

High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized…

Systems and Control · Computer Science 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

This paper deals with the classic radiotherapy dose fractionation problem for cancer tumors concerning the following goals: a) To maximize the effect of radiation on the tumor, restricting the effect produced to the organs at risk (healing…

Optimization and Control · Mathematics 2021-02-17 Luis Alberto Fernández , Lucía Fernández

A treatment regime is a deterministic function that dictates personalized treatment based on patients' individual prognostic information. There is a fast-growing interest in finding optimal treatment regimes to maximize expected long-term…

Statistics Theory · Mathematics 2016-11-25 Runchao Jiang , Wenbin Lu , Rui Song , Marie Davidian

In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

Optimization and Control · Mathematics 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Purpose: Accurate segmentation of prostate cancer on magnetic resonance (MR) images is crucial for planning image-guided interventions such as targeted biopsies, cryoablation, and radiotherapy. However, subtle and variable tumour…

Image and Video Processing · Electrical Eng. & Systems 2026-02-23 Junqing Yang , Natasha Thorley , Ahmed Nadeem Abbasi , Shonit Punwani , Zion Tse , Yipeng Hu , Shaheer U. Saeed

We propose to develop deep learning models that can predict Pareto optimal dose distributions by using any given set of beam angles, along with patient anatomy, as input to train the deep neural networks. We implement and compare two deep…

Medical Physics · Physics 2021-01-27 Gyanendra Bohara , Azar Sadeghnejad Barkousaraie , Steve Jiang , Dan Nguyen

Identification of optimal dose combinations in early phase dose-finding trials is challenging, due to the trade-off between precisely estimating the many parameters required to flexibly model the possibly non-monotonic dose-response…

Methodology · Statistics 2024-02-13 James Willard , Shirin Golchi , Erica E. M. Moodie , Bruno Boulanger , Bradley P. Carlin

This paper considers stochastic optimization problems for a large class of objective functions, including convex and continuous submodular. Stochastic proximal gradient methods have been widely used to solve such problems; however, their…

Optimization and Control · Mathematics 2018-11-13 Aryan Mokhtari , Hamed Hassani , Amin Karbasi

We consider a real-world chemotherapy scheduling template design problem, where we cluster patient types into groups and find a representative time-slot duration for each group to accommodate all patient types assigned to that group, aiming…

Optimization and Control · Mathematics 2025-10-14 Qing Zhu , Xian Yu , Yu-Li Huang

Radiation therapy has emerged as one of the preferred techniques to treat brain cancer patients. During treatment, a very high dose of radiation is delivered to a very narrow area. Prescribed radiation therapy for brain cancer requires…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Jose Dolz , Nicolas Reyns , Nacim Betrouni , Dris Kharroubi , Mathilde Quidet , Laurent Massoptier , Maximilien Vermandel

Delineating and planning with respect to regions suspected to contain microscopic tumor cells is an inherently uncertain task in radiotherapy. The recently proposed \textit{clinical target distribution} (CTD) is an alternative to the…

Medical Physics · Physics 2023-04-26 Ivar Bengtsson , Anders Forsgren , Albin Fredriksson

In practical optimization problems, we typically model uncertainty as a random variable though its true probability distribution is unobservable to the decision maker. Historical data provides some information of this distribution that we…

Optimization and Control · Mathematics 2025-01-28 Arjun Ramachandra , Napat Rujeerapaiboon , Melvyn Sim

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

Optimization and Control · Mathematics 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen
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