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This paper proposes distributed algorithms to solve robust convex optimization (RCO) when the constraints are affected by nonlinear uncertainty. We adopt a scenario approach by randomly sampling the uncertainty set. To facilitate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Keyou You , Roberto Tempo , Pei Xie

Solving task planning problems involving multiple objects and multiple robotic arms poses scalability challenges. Such problems involve not only coordinating multiple high-DoF arms, but also searching through possible sequences of actions…

Robotics · Computer Science 2022-01-21 Rahul Shome , Kostas E. Bekris

First-order methods with momentum such as Nesterov's fast gradient method are very useful for convex optimization problems, but can exhibit undesirable oscillations yielding slow convergence rates for some applications. An adaptive…

Optimization and Control · Mathematics 2019-06-14 Donghwan Kim , Jeffrey A. Fessler

The Clique Interdiction Problem (CIP) aims to minimize the size of the largest clique in a given graph by removing a given number of vertices. The CIP models a special Stackelberg game and has important applications in fields such as…

Data Structures and Algorithms · Computer Science 2025-05-21 Chenghao Zhu , Yi Zhou , Haoyu Jiang

We investigated the imaging performance of a fast convergent ordered-subsets algorithm with subiteration-dependent preconditioners (SDPs) for positron emission tomography (PET) image reconstruction. In particular, we considered the use of…

Numerical Analysis · Mathematics 2022-06-09 Jianfeng Guo , C. Ross Schmidtlein , Andrzej Krol , Si Li , Yizun Lin , Sangtae Ahn , Charles Stearns , Yuesheng Xu

We present a novel technique by which highly-segmented electrostatic configurations can be solved. The Robin Hood method is a matrix-inversion algorithm optimized for solving high density boundary element method (BEM) problems. We…

Computational Physics · Physics 2011-11-23 J. A. Formaggio , P. Lazic , T. J. Corona , H. Stefancic , H. Abraham , F. Gluck

Robots operating in changing environments either predict obstacle changes and/or plan quickly enough to react to them. Predictive approaches require a strong prior about the position and motion of obstacles. Reactive approaches require no…

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

Optimization and Control · Mathematics 2013-01-08 Enlu Zhou , Jiaqiao Hu

Sampling-based motion-planning algorithms typically rely on nearest-neighbor (NN) queries when constructing a roadmap. Recent results suggest that in various settings NN queries may be the computational bottleneck of such algorithms.…

Robotics · Computer Science 2014-09-30 Michal Kleinbort , Oren Salzman , Dan Halperin

The Random Batch Method (RBM) is an effective technique to reduce the computational complexity when solving certain stochastic differential problems (SDEs) involving interacting particles. It can transform the computational complexity from…

Numerical Analysis · Mathematics 2024-12-23 Yanshun Zhao , Jingrun Chen , Zhiwen Zhang

In container terminal yards, the Container Rehandling Problem (CRP) involves rearranging containers between stacks under specific operational rules, and it is a pivotal optimization challenge in intelligent container scheduling systems.…

Artificial Intelligence · Computer Science 2025-04-22 Ruoqi Wang , Jiawei Li

Optical proximity correction (OPC) is a widely-used resolution enhancement technique (RET) for printability optimization. Recently, rigorous numerical optimization and fast machine learning are the research focus of OPC in both academia and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Wenqian Zhao , Xufeng Yao , Ziyang Yu , Guojin Chen , Yuzhe Ma , Bei Yu , Martin D. F. Wong

Future multi-spacecraft missions require robust autonomous trajectory optimization capabilities to ensure safe and efficient rendezvous operations. This capability hinges on solving non-convex optimal control problems in real-time, although…

Optimization and Control · Mathematics 2025-01-28 Yuji Takubo , Tommaso Guffanti , Daniele Gammelli , Marco Pavone , Simone D'Amico

We describe a dynamic programming algorithm for predicting optimal RNA secondary structure, including pseudoknots. The algorithm has a worst case complexity of ${\cal O}(N^6)$ in time and ${\cal O}(N^4)$ in storage. The description of the…

Biological Physics · Physics 2009-09-25 Elena Rivas , Sean R. Eddy

We introduce a Bayesian genetic algorithm for reconstructing atomic models of nanoparticles from a single projection using Z-contrast imaging. The number of atoms in a projected atomic column obtained from annular dark field scanning…

Materials Science · Physics 2022-03-31 Annick De Backer , Sandra Van Aert , Peter D. Nellist , Lewys Jones

Autonomous reconfiguration of agent-based systems is a key challenge in the study of programmable matter, distributed robotics, and molecular self-assembly. While substantial prior work has focused on size-preserving transformations, much…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-29 Nada Almalki , Siddharth Gupta , Othon Michail , Andreas Padalkin

In recent years, Active Queue Management (AQM) mechanisms to improve the performance of TCP/IP networks have acquired a relevant role. In this paper we present a simple and robust RED-type algorithm together with a couple of dynamical…

Networking and Internet Architecture · Computer Science 2022-09-26 Angel Giménez , Miguel A. Murcia , José M. Amigó , Oscar Martínez-Bonastre , José Valero

This paper addresses the problem of coordination of a fleet of mobile robots - the problem of finding an optimal set of collision-free trajectories for individual robots in the fleet. Many approaches have been introduced during the last…

Robotics · Computer Science 2019-01-23 Jakub Hvězda , Miroslav Kulich , Libor Přeučil

Sorting atoms stochastically loaded in optical tweezer arrays via an auxiliary mobile tweezer is an efficient approach to preparing intermediate-scale defect-free atom arrays in arbitrary geometries. However, high filling fraction of…

Quantum Physics · Physics 2021-04-07 Cheng Sheng , Jiayi Hou , Xiaodong He , Peng Xu , Kunpeng Wang , Jun Zhuang , Xiao Li , Min Liu , Jin Wang , Mingsheng Zhan

High-performance computing (HPC) has revolutionized our ability to perform detailed simulations of complex real-world processes. A prominent contemporary example is from aerospace propulsion, where HPC is used for rotating detonation rocket…

Numerical Analysis · Mathematics 2025-04-22 Ionut-Gabriel Farcas , Rayomand P. Gundevia , Ramakanth Munipalli , Karen E. Willcox