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Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic and radiotherapy (RT) planning tool, offering detailed insights into the anatomy of the human body. The extensive scan time is stressful for patients, who must remain motionless…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Shahinur Alam , Jinsoo Uh , Alexander Dresner , Chia-ho Hua , Khaled Khairy

Uncompressed clinical data from modern positron emission tomography (PET) scanners are very large, exceeding 350 million data points (projection bins). The last decades have seen tremendous advancements in mathematical imaging tools many of…

Medical Physics · Physics 2020-01-08 Matthias J. Ehrhardt , Pawel Markiewicz , Carola-Bibiane Schönlieb

Optimization based motion planning provides a useful modeling framework through various costs and constraints. Using Graph of Convex Sets (GCS) for trajectory optimization gives guarantees of feasibility and optimality by representing…

Robotics · Computer Science 2025-04-15 Shruti Garg , Thomas Cohn , Russ Tedrake

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…

Medical Physics · Physics 2025-05-21 Xin Tong , Weijie Zhang , Ya-Nan Zhu , Xue Hong , Chao Wang , Jufri Setianegara , Yuting Lin , Hao Gao

It is well known that popular optimization techniques can lead to overfitting or even a lack of convergence altogether; thus, practitioners often utilize ad hoc regularization terms added to the energy functional. When carefully crafted,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Michael Bao , David Hyde , Xinru Hua , Ronald Fedkiw

A vast majority of machine learning algorithms train their models and perform inference by solving optimization problems. In order to capture the learning and prediction problems accurately, structural constraints such as sparsity or low…

Machine Learning · Statistics 2017-12-22 Prateek Jain , Purushottam Kar

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

Path planning in the presence of dynamic obstacles is a challenging problem due to the added time dimension in search space. In approaches that ignore the time dimension and treat dynamic obstacles as static, frequent re-planning is…

Robotics · Computer Science 2016-05-24 Anirudh Vemula , Katharina Muelling , Jean Oh

In medical imaging analysis, deep learning has shown promising results. We frequently rely on volumetric data to segment medical images, necessitating the use of 3D architectures, which are commended for their capacity to capture interslice…

Image and Video Processing · Electrical Eng. & Systems 2023-05-18 Ikboljon Sobirov , Numan Saeed , Mohammad Yaqub

We apply the superiorization methodology to the intensity-modulated radiation therapy (IMRT) treatment planning problem. In superiorization, linear voxel dose inequality constraints are the fundamental modeling tool within which a…

Medical Physics · Physics 2022-07-28 Florian Barkmann , Yair Censor , Niklas Wahl

Solving optimization problems with unknown parameters often requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values. Recent work has shown that including the…

Machine Learning · Computer Science 2020-10-23 Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

This paper proposes an arc-search interior-point algorithm for the nonlinear constrained optimization problem. The proposed algorithm uses the second-order derivatives to construct a search arc that approaches the optimizer. Because the arc…

Optimization and Control · Mathematics 2025-06-13 Yaguang Yang

Path-planning algorithms are an important part of a wide variety of robotic applications, such as mobile robot navigation and robot arm manipulation. However, in large search spaces in which local traps may exist, it remains challenging to…

Machine Learning · Computer Science 2019-08-12 Yuka Ariki , Takuya Narihira

We consider the energy minimization problem for undirected graphical models, also known as MAP-inference problem for Markov random fields which is NP-hard in general. We propose a novel polynomial time algorithm to obtain a part of its…

Artificial Intelligence · Computer Science 2015-08-19 Paul Swoboda , Alexander Shekhovtsov , Jörg Hendrik Kappes , Christoph Schnörr , Bogdan Savchynskyy

In this paper we address the speed planning problem for a vehicle along a predefined path. A weighted sum of two conflicting objectives, energy consumption and travel time, is minimized. After deriving a non-convex mathematical model of the…

Optimization and Control · Mathematics 2025-10-29 Luca Consolini , Mattia Laurini , Marco Locatelli

This paper studies the integrated spacecraft routing and trajectory optimization problem for satellite servicing missions involving partial en-route propellant replenishment. Unlike terrestrial routing problems, spacecraft operate in a…

Optimization and Control · Mathematics 2026-04-22 Euihyeon Choi , Koki Ho

We propose a new randomized optimization method for high-dimensional problems which can be seen as a generalization of coordinate descent to random subspaces. We show that an adaptive sampling strategy for the random subspace significantly…

Optimization and Control · Mathematics 2019-12-19 Jonathan Lacotte , Mert Pilanci , Marco Pavone

Online adaptive radiation therapy (ART) has great promise to significantly reduce normal tissue toxicity and/or improve tumor control through real-time treatment adaptations based on the current patient anatomy. However, the major technical…

Medical Physics · Physics 2015-05-18 Chunhua Men , Xun Jia , Steve. B. Jiang

A major challenge in designing neural network (NN) systems is to determine the best structure and parameters for the network given the data for the machine learning problem at hand. Examples of parameters are the number of layers and nodes,…

Artificial Intelligence · Computer Science 2017-05-25 Gonzalo Diaz , Achille Fokoue , Giacomo Nannicini , Horst Samulowitz

Geometric numerical integration has recently been exploited to design symplectic accelerated optimization algorithms by simulating the Lagrangian and Hamiltonian systems from the variational framework introduced in Wibisono et al. In this…

Optimization and Control · Mathematics 2023-05-19 Valentin Duruisseaux , Melvin Leok