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We study a cutting-plane method for semidefinite optimization problems (SDOs), and supply a proof of the method's convergence, under a boundedness assumption. By relating the method's rate of convergence to an initial outer approximation's…

Optimization and Control · Mathematics 2020-02-17 Dimitris Bertsimas , Ryan Cory-Wright

Delineation of tumors and organs-at-risk permits detecting and correcting changes in the patients' anatomy throughout the treatment, making it a core step of adaptive proton therapy (APT). Although AI-based auto-contouring technologies have…

In this work, we propose a Machine Learning model that generates an adjustable 3D dose distribution for external beam radiation therapy for head-and-neck cancer treatments. In contrast to existing Machine Learning methods that provide a…

Individualized treatment regimes (ITRs) aim to improve clinical outcomes by assigning treatment based on patient-specific characteristics. However, existing methods often struggle with high-dimensional covariates, limiting accuracy,…

Machine Learning · Statistics 2026-01-13 Sungtaek Son , Eardi Lila , Kwun Chuen Gary Chan

Creating high quality treatment plans is crucial for a successful radiotherapy treatment. However, it demands substantial effort and special training for dosimetrists. Existing automated treatment planning systems typically require either…

With the advancement of treatment modalities in radiation therapy for cancer patients, outcomes have improved, but at the cost of increased treatment plan complexity and planning time. The accurate prediction of dose distributions would…

Medical Physics · Physics 2018-12-03 Dan Nguyen , Troy Long , Xun Jia , Weiguo Lu , Xuejun Gu , Zohaib Iqbal , Steve Jiang

We study the convergence of the Augmented Decomposition Algorithm (ADA) proposed in [32] for solving multi-block separable convex minimization problems subject to linear constraints. We show that the global convergence rate of the exact ADA…

Optimization and Control · Mathematics 2018-08-28 Hongsheng Liu , Shu Lu

Purpose: Variations in proton Relative Biological Effectiveness (RBE) with Linear Energy Transfer (LET) remain one of the largest sources of uncertainty in proton radiotherapy. This work seeks to identify physics-based metrics which can be…

Medical Physics · Physics 2018-12-05 Stephen J McMahon , Harald Paganetti , Kevin M Prise

Radiotherapy treatment planning often relies on time-consuming, trial-and-error adjustments that heavily depend on the expertise of specialists, while existing deep learning methods face limitations in generalization, prediction accuracy,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Hui Xie , Haiqin Hu , Lijuan Ding , Qing Li , Yue Sun , Tao Tan

To accurately verify the dose of intensity-modulated radiation therapy (IMRT), we have used a global optimization method to investigate a new dose-verification algorithm. In practical application of this quality assurance (QA) procedure,…

Medical Physics · Physics 2007-05-23 Dong Hyun Park , Sung-Yong Park , Dahl Park , Tae-Hyun Kim , Kyung Hwan Shin , Dae Yong Kim , Kwan-Ho Cho

In radiotherapy, the internal movement of organs between treatment sessions causes errors in the final radiation dose delivery. Motion models can be used to simulate motion patterns and assess anatomical robustness before delivery.…

Most methods for Bundle Adjustment (BA) in computer vision are either centralized or operate incrementally. This leads to poor scaling and affects the quality of solution as the number of images grows in large scale structure from motion…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Karthikeyan Natesan Ramamurthy , Chung-Ching Lin , Aleksandr Aravkin , Sharath Pankanti , Raphael Viguier

Recent advances in nanotechnology have enabled researchers to manipulate small collections of quantum mechanical objects with unprecedented accuracy. In semiconductor quantum dot qubits, this manipulation requires controlling the dot…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Adam Frees , John King Gamble , Daniel R. Ward , Robin Blume-Kohout , M. A. Eriksson , Mark Friesen , S. N. Coppersmith

The classical adjoint-based topology optimization (TO) method, based on the use of a random continuous dielectric function as an adjoint variable distribution, is known to be one of the most efficient optimization methods that enable the…

Optics · Physics 2023-11-01 Kofi Edee , Mauro Antezza , Brahim Guizal

Non-coplanar Intensity-Modulated Radiation Therapy (IMRT) goes a step further by orienting the gantry carrying the radiation beam and the patient couch in a non-coplanar manner to accurately target the cancer region and better avoid…

Medical Physics · Physics 2023-05-16 Fang Guo , Franklin Okoli , Ulrike Schick , Dimitris Visvikis , Antoine Valeri , Julien Bert

We propose the BayesDose-Framework, a Bayesian approach for fast and accurate dose prediction in proton therapy. Our framework is based on a previously published deterministic LSTM model and is trained and evaluated on simulated beamlet…

Medical Physics · Physics 2023-07-04 Luke Voss , Ahmad Neishabouri , Tim Ortkamp , Andrea Mairani , Niklas Wahl

Recent studies on contrastive learning have achieved remarkable performance solely by leveraging few labels in the context of medical image segmentation. Existing methods mainly focus on instance discrimination and invariant mapping.…

Image and Video Processing · Electrical Eng. & Systems 2024-09-24 Chenyu You , Weicheng Dai , Fenglin Liu , Yifei Min , Nicha C. Dvornek , Xiaoxiao Li , David A. Clifton , Lawrence Staib , James S. Duncan

We propose an adaptive design for early phase drug combination cancer trials with the goal of estimating the maximum tolerated dose (MTD). A nonparametric Bayesian model, using beta priors truncated to the set of partially ordered dose…

Applications · Statistics 2019-10-22 Zahra S. Razaee , Galen Wien-Cook , Mourad Tighiouart

In this paper, we present a novel tolerance allocation algorithm for the assessment and control of geometric variation on system performance that is applicable to any system of partial differential equations. In particular, we parameterize…

Numerical Analysis · Mathematics 2019-04-16 Joseph Benzaken , Alireza Doostan , John A. Evans

Three-dimensional digital subtraction angiography (3D-DSA) is a widely adopted technique for clinical evaluation of contrast-enhanced vasculatures. The distribution of a contrast agent such as iodine is often estimated via temporal…

Medical Physics · Physics 2023-10-18 Xiaoxuan Zhang , Xiao Jiang , Matthew Tivnan , J. Webster Stayman , Grace Gang