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This paper explores adaptive variance reduction methods for stochastic optimization based on the STORM technique. Existing adaptive extensions of STORM rely on strong assumptions like bounded gradients and bounded function values, or suffer…

Optimization and Control · Mathematics 2024-10-24 Wei Jiang , Sifan Yang , Yibo Wang , Lijun Zhang

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

Although response-adaptive randomisation (RAR) has gained substantial attention in the literature, it still has limited use in clinical trials. Amongst other reasons, the implementation of RAR in real world trials raises important practical…

Applications · Statistics 2025-09-16 Rajenki Das , Nina Deliu , Mark Toshner , Sofía S Villar

Restricted mean survival time (RMST) offers a compelling nonparametric alternative to hazard ratios for right-censored time-to-event data, particularly when the proportional hazards assumption is violated. By capturing the total event-free…

Methodology · Statistics 2025-01-28 Jinghao Sun , Douglas E. Schaubel , Eric J. Tchetgen Tchetgen

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

Significant evidence has become available that emphasizes the importance of personalization in medicine. In fact, it has become a common belief that personalized medicine is the future of medicine. The core of personalized medicine is the…

Methodology · Statistics 2020-04-30 Qiong Zhang , Amin Khademi , Yongjia Song

Response-adaptive randomization (RAR) has been studied extensively in conventional, single-stage clinical trials, where it has been shown to yield ethical and statistical benefits, especially in trials with many treatment arms. However, RAR…

Methodology · Statistics 2024-01-09 Peter Norwood , Marie Davidian , Eric Laber

A central problem in the field of radiation therapy (RT) is how to optimally deliver dose to a patient in a way that fully accounts for anatomical position changes over time. As current RT is a static process, where beam intensities are…

Medical Physics · Physics 2019-09-04 Rodney D. Wiersma , Xinmin Liu

Data from both a randomized trial and an observational study are sometimes simultaneously available for evaluating the effect of an intervention. The randomized data typically allows for reliable estimation of average treatment effects but…

Methodology · Statistics 2021-12-01 David Cheng , Tianxi Cai

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

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

Methodology · Statistics 2013-04-03 Dennis Wei , Alfred O. Hero

We here adapt an extended version of the adaptive cubic regularisation method with dynamic inexact Hessian information for nonconvex optimisation in [3] to the stochastic optimisation setting. While exact function evaluations are still…

Numerical Analysis · Mathematics 2020-09-15 Stefania Bellavia , Gianmarco Gurioli

Adaptive designs are commonly used in clinical and drug development studies for optimum utilization of available resources. In this article, we consider the problem of estimating the effect of the selected (better) treatment using a…

Statistics Theory · Mathematics 2023-01-24 Masihuddin , Neeraj Misra

We consider the problem of fitting variational posterior approximations using stochastic optimization methods. The performance of these approximations depends on (1) how well the variational family matches the true posterior…

Radiation Therapy (RT) plays a pivotal role in the treatment of cancer, offering the potential to effectively target and eliminate tumour cells while minimizing harm to surrounding healthy tissues. However, the success of RT heavily depends…

Medical Physics · Physics 2024-02-16 Keshav Kumar K. , NVSL Narasimham , A. Ramakrishna Prasad

Parallel processing is a principle which enables simultaneous implementation of anesthesia induction and operating room (OR) turnover with the aim of improving OR utilization. In this article, we study the problem of scheduling surgeries…

Optimization and Control · Mathematics 2022-01-03 Batuhan Celik , Serhat Gul , Melih Celik

We consider minimizing an objective function subject to constraints defined by the intersection of lower-level sets of convex functions. We study two cases: (i) strongly convex and Lipschitz-smooth objective function and (ii) convex but…

Optimization and Control · Mathematics 2026-01-29 Abhishek Chakraborty , Angelia Nedić

Robust optimization is a commonly employed method to mitigate uncertainties in the planning of intensity-modulated proton therapy (IMPT). In certain contexts, the large number of uncertainty scenarios makes the robust problem impractically…

Medical Physics · Physics 2025-04-22 Ivar Bengtsson

Randomized controlled trials (RCTs) can be used to generate guarantees on treatment effects. However, RCTs often spend unnecessary resources exploring sub-optimal treatments, which can reduce the power of treatment guarantees. To address…

Computers and Society · Computer Science 2024-10-16 Santiago Cortes-Gomez , Naveen Raman , Aarti Singh , Bryan Wilder

This study investigates the applicability of 3D dose predictions from a model trained on one modality to a cross-modality automated planning workflow. Additionally, we explore the impact of integrating a multi-criteria optimizer on adapting…

Medical Physics · Physics 2024-02-26 Gregory Szalkowski , Xuanang Xu , Shiva Das , Pew-Thian Yap , Jun Lian