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This paper studies binary linear programming problems in the presence of uncertainties that may cause solution values to change during implementation. This type of uncertainty, termed implementation uncertainty, is modeled explicitly…

最优化与控制 · 数学 2021-09-29 Jose E. Ramirez-Calderon , V. Jorge Leon

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

最优化与控制 · 数学 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

Stereotactic body radiotherapy (SBRT) is characterized by delivering a high amount of dose in a short period of time. In SBRT the dose is delivered using open fields (e.g., beam's-eye-view) known as "apertures". Mathematical methods can be…

医学物理 · 物理学 2015-06-15 Hamed Yarmand , David Craft

Reinforcement learning (RL) agents need to be robust to variations in safety-critical environments. While system identification methods provide a way to infer the variation from online experience, they can fail in settings where fast…

机器学习 · 计算机科学 2022-03-07 Annie Xie , Shagun Sodhani , Chelsea Finn , Joelle Pineau , Amy Zhang

Purpose: 3D rotational setup errors in radiotherapy are often ignored by most clinics due to inability to correct or simulate them accurately and efficiently. There are two types of rotation-related problems in a clinical setting. One is to…

医学物理 · 物理学 2013-10-29 Qinghui Zhang , Yulin Song , Maria Chan , Chandra Burman , Yoshiya Yamada

Magnetic Resonance Imaging (MRI) offers unparalleled soft-tissue contrast but is fundamentally limited by long acquisition times. While deep learning-based accelerated MRI can dramatically shorten scan times, the reconstruction from…

图像与视频处理 · 电气工程与系统科学 2025-08-22 Paul Fischer , Jan Nikolas Morshuis , Thomas Küstner , Christian Baumgartner

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

最优化与控制 · 数学 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

Intensity-modulated radiation therapy (IMRT) allows for the design of customized, highly-conformal treatments for cancer patients. Creating IMRT treatment plans, however, is a mathematically complex process, which is often tackled in…

最优化与控制 · 数学 2022-03-18 Danielle A. Ripsman , Thomas G. Purdie , Timothy C. Y. Chan , Houra Mahmoudzadeh

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

最优化与控制 · 数学 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

Safely deploying robots in uncertain and dynamic environments requires a systematic accounting of various risks, both within and across layers in an autonomy stack from perception to motion planning and control. Many widely used motion…

系统与控制 · 电气工程与系统科学 2020-02-10 Venkatraman Renganathan , Iman Shames , Tyler H. Summers

This paper presents a motion planning and risk analysis framework for enhancing human-robot collaboration with a Multi-Rotor Aerial Vehicle. The proposed method employs Signal Temporal Logic to encode key mission objectives, including…

机器人学 · 计算机科学 2026-05-13 Giuseppe Silano , Amr Afifi , Martin Saska , Antonio Franchi

Spatial transcriptomics provides an unprecedented perspective for deciphering tissue spatial heterogeneity. However, high-resolution spatial transcriptomic technology remains constrained by limited gene coverage, technical complexity, and…

生物大分子 · 定量生物学 2026-05-19 Xinlei Huang , Weihao Dai , Zijun Qin , Xin Yu , Di Wang , Yanran Liu , Lixin Cheng , Xubin Zheng

In this paper, we remark on the published paper "Treatment of Set-Valued Robustness via Separation and Scalarization" [1], which deals with the robust solution to an uncertain constrained set-valued optimization problem via scalarization…

最优化与控制 · 数学 2025-11-04 Abhik Digar , Kuntal Som

Accurate uncertainty estimation is a critical need for the medical imaging community. A variety of methods have been proposed, all direct extensions of classification uncertainty estimations techniques. The independent pixel-wise…

图像与视频处理 · 电气工程与系统科学 2022-06-16 Thierry Judge , Olivier Bernard , Mihaela Porumb , Agis Chartsias , Arian Beqiri , Pierre-Marc Jodoin

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…

医学物理 · 物理学 2019-09-04 Rodney D. Wiersma , Xinmin Liu

We study the robustness of system estimation to parametric perturbations in system dynamics and initial conditions. We define the problem of sensitivity-based parametric uncertainty quantification in dynamical system estimation. The main…

系统与控制 · 电气工程与系统科学 2025-09-09 Ayush Pandey

We present a method to include robustness into a multi-criteria optimization (MCO) framework for intensity-modulated proton therapy (IMPT). The approach allows one to simultaneously explore the trade-off between different objectives as well…

医学物理 · 物理学 2015-06-03 Wei Chen , Jan Unkelbach , Alexei Trofimov , Thomas Madden , Hanne Kooy , Thomas Bortfeld , David Craft

When a machine learning model is deployed, its predictions can alter its environment, as better informed agents strategize to suit their own interests. With such alterations in mind, existing approaches to uncertainty quantification break.…

机器学习 · 统计学 2024-11-05 Daniel Csillag , Claudio José Struchiner , Guilherme Tegoni Goedert

We review the field of multi-criteria optimization for radiation therapy treatment planning. Special attention is given to the technique known as Pareto surface navigation, which allows physicians and treatment planners to interactively…

最优化与控制 · 数学 2013-05-08 David Craft

Lattice radiotherapy (LATTICE) is a form of spatially fractionated radiation therapy (SFRT) designed to deliver high doses to tumor regions while sparing surrounding tissues. Traditional LATTICE uses rigid vertex patterns, limiting…

医学物理 · 物理学 2025-05-21 Xin Tong , Weijie Zhang , Ya-Nan Zhu , Xue Hong , Chao Wang , Jufri Setianegara , Yuting Lin , Hao Gao