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Random search methods are widely used for global optimization due to their theoretical generality and implementation simplicity. This paper proposes a depth-first directional search (DFDS) algorithm for globally solving nonconvex…

最优化与控制 · 数学 2025-11-12 Yuxuan Zhang , Wenxun Xing

An algorithm on weighted graphs is called universally optimal if it is optimal for every input graph, in the worst case taken over all weight assignments. Informally, this means the algorithm is competitive even with algorithms that are…

数据结构与算法 · 计算机科学 2026-02-19 Benjamin Aram Berendsohn

Many real-world applications require solving families of expensive multi-objective optimization problems~(EMOPs) under varying operational conditions. This can be formulated as parametric expensive multi-objective optimization problems…

机器学习 · 计算机科学 2026-05-11 Tingyang Wei , Jiao Liu , Abhishek Gupta , Chin Chun Ooi , Puay Siew Tan , Yew-Soon Ong

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

机器人学 · 计算机科学 2015-07-14 Jingjin Yu , Daniela Rus

We consider the global minimization of a particular type of minimum structured optimization problems wherein the variables must belong to some basic set, the feasible domain is described by the intersection of a large number of functional…

最优化与控制 · 数学 2024-12-09 Guillaume Van Dessel , François Glineur

Optimization of non-convex loss surfaces containing many local minima remains a critical problem in a variety of domains, including operations research, informatics, and material design. Yet, current techniques either require extremely high…

机器学习 · 计算机科学 2021-07-21 Amil Merchant , Luke Metz , Sam Schoenholz , Ekin Dogus Cubuk

Batch Bayesian optimisation and Bayesian quadrature have been shown to be sample-efficient methods of performing optimisation and quadrature where expensive-to-evaluate objective functions can be queried in parallel. However, current…

We investigate the Optimal Obstacle Placement (OOP) problem under uncertainty, framed as the dual of the Optimal Traversal Path problem in the Stochastic Obstacle Scene paradigm. We consider both continuous domains, discretized for…

应用统计 · 统计学 2025-09-09 Li Zhou , Elvan Ceyhan , Polat Charyyev

This paper addresses an optimal control problem for a robot that has to find and collect a finite number of objects and move them to a depot in minimum time. The robot has fourth-order dynamics that change instantaneously at any pick-up or…

系统与控制 · 计算机科学 2021-01-27 Vladislav Nenchev , Christos G. Cassandras , Jörg Raisch

Growing demand for sustainable logistics and higher space utilization, driven by e-commerce and urbanization, increases the need for storage systems that are both energy- and space-efficient. Compact storage systems aim to maximize space…

计算复杂性 · 计算机科学 2025-10-16 Malte Fliedner , Julian Golak , Yağmur Gül , Simone Neumann

Our research deals with the optimization version of the set partition problem, where the objective is to minimize the absolute difference between the sums of the two disjoint partitions. Although this problem is known to be NP-hard and…

数据结构与算法 · 计算机科学 2023-03-16 Kaan Gokcesu , Hakan Gokcesu

Object placement is a fundamental task for robots, yet it remains challenging for partially observed objects. Existing methods for object placement have limitations, such as the requirement for a complete 3D model of the object or the…

机器人学 · 计算机科学 2023-09-12 Sangjun Noh , Raeyoung Kang , Taewon Kim , Seunghyeok Back , Seongho Bak , Kyoobin Lee

The problem of task scheduling with communication delays is strongly NP-hard. State-space search algorithms such as A* have been shown to be a promising approach to solving small to medium sized instances optimally. A recently proposed…

分布式、并行与集群计算 · 计算机科学 2019-05-15 Michael Orr , Oliver Sinnen

We consider the offline sorting buffer problem. The input is a sequence of items of different types. All items must be processed one by one by a server. The server is equipped with a random-access buffer of limited capacity which can be…

数据结构与算法 · 计算机科学 2010-09-23 Ho-Leung Chan , Nicole Megow , Rob van Stee , Rene Sitters

Grover's algorithm, orginally conceived as a means of searching an unordered database, can also be used to extract solutions from the result sets generated by quantum computations. The Grover algorithm exploits the concept of an oracle…

量子物理 · 物理学 2024-11-19 Fintan M. Bolton

This paper studies first-order algorithms for solving fully composite optimization problems over convex and compact sets. We leverage the structure of the objective by handling its differentiable and non-differentiable components…

最优化与控制 · 数学 2023-07-13 Maria-Luiza Vladarean , Nikita Doikov , Martin Jaggi , Nicolas Flammarion

Spatial puzzles composed of rigid objects, flexible strings and holes offer interesting domains for reasoning about spatial entities that are common in the human daily-life's activities. The goal of this work is to investigate the automated…

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

Existing approaches to unsupervised object discovery (UOD) do not scale up to large datasets without approximations that compromise their performance. We propose a novel formulation of UOD as a ranking problem, amenable to the arsenal of…

计算机视觉与模式识别 · 计算机科学 2021-11-18 Huy V. Vo , Elena Sizikova , Cordelia Schmid , Patrick Pérez , Jean Ponce

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

最优化与控制 · 数学 2020-03-24 Tao Xu , Jun He , Changjing Shang