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An algorithm for robot formation path planning is presented in this paper. Given a map of the working environment, the algorithm finds a path for a formation taking into account possible split of the formation and its consecutive merge. The…

Robotics · Computer Science 2019-01-25 M. Estefanía Pereyra , R. Gastón Araguás , Miroslav Kulich

Nucleus decompositions have been shown to be a useful tool for finding dense subgraphs. The coreness value of a clique represents its density based on the number of other cliques it is adjacent to. One useful output of nucleus decomposition…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Jessica Shi , Laxman Dhulipala , Julian Shun

Dynamic programming on tree decompositions is a frequently used approach to solve otherwise intractable problems on instances of small treewidth. In recent work by Bodlaender et al., it was shown that for many connectivity problems, there…

Data Structures and Algorithms · Computer Science 2013-06-03 Stefan Fafianie , Hans L. Bodlaender , Jesper Nederlof

Kinematics of mechanisms is intricately coupled to their geometry and their utility often arises out of the ability to perform reproducible motion with fewer actuating degrees of freedom. In this article, we explore the assembly of…

Robotics · Computer Science 2026-02-17 Mohanraj A , S Ganga Prasath

Synthesis of distributed protocols is a hard, often undecidable, problem. Completion techniques provide partial remedy by turning the problem into a search problem. However, the space of candidate completions is still massive. In this…

Logic in Computer Science · Computer Science 2023-07-31 Derek Egolf , Stavros Tripakis

Benders' decomposition (BD) is a framework for solving optimization problems by removing some variables and modeling their contribution to the original problem via so-called Benders cuts. While many advanced optimization techniques can be…

Optimization and Control · Mathematics 2025-12-18 Christopher Hojny , Cédric Roy

Multi-part assembly poses significant challenges for robots to execute long-horizon, contact-rich manipulation with generalization across complex geometries. We present Fabrica, a dual-arm robotic system capable of end-to-end planning and…

This paper presents scalable controller synthesis methods for heterogeneous and partially heterogeneous systems. First, heterogeneous systems composed of different subsystems that are interconnected over a directed graph are considered.…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Yvonne R. Stürz , Annika Eichler , Roy S. Smith

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

Additive manufacturing of metal parts involves phase transformations and high temperature gradients which lead to uneven thermal expansion and contraction, and, consequently, distortion of the fabricated components. The distortion has a…

Computational Engineering, Finance, and Science · Computer Science 2023-02-15 Weiming Wang , Fred van Keulen , Jun Wu

Addressable self-assembly is the formation of a target structure from a set of unique molecular or colloidal building-blocks, each of which occupies a defined location in the target. The requirement that each type of building-block appears…

Soft Condensed Matter · Physics 2019-12-03 Jim Madge , David Bourne , Mark A. Miller

This paper discusses the problem of assembly line control and introduces an optimal control formulation that can be used to improve the performance of the assembly line, in terms of cycle time minimization, resources' utilization, etc. A…

Optimization and Control · Mathematics 2020-10-01 Francesco Liberati , Andrea Tortorelli , Cesar Mazquiaran , Muhammad Imran , Martina Panfili

In this paper, we propose a graph classification approach for automatically determining whether to use a monolithic or a decomposition-based solution method. In this approach, an optimization problem is represented as a graph that captures…

Optimization and Control · Mathematics 2023-10-12 Ilias Mitrai , Prodromos Daoutidis

Symbolic regression that aims to detect underlying data-driven models has become increasingly important for industrial data analysis. For most existing algorithms such as genetic programming (GP), the convergence speed might be too slow for…

Neural and Evolutionary Computing · Computer Science 2017-10-31 Chen Chen , Changtong Luo , Zonglin Jiang

We present an efficient task and motion replanning approach for sequential multi-object manipulation in dynamic environments. Conventional Task And Motion Planning (TAMP) solvers experience an exponential increase in planning time as the…

Robotics · Computer Science 2026-05-20 Yan Zhang , Teng Xue , Amirreza Razmjoo , Sylvain Calinon

The future of computing systems is inevitably embracing a disaggregated and composable pattern: from clusters of computers to pools of resources that can be dynamically combined together and tailored around applications requirements.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Christian Pinto , Dong Li , Thaleia Dimitra Doudali , Christina Giannoula , Jie Ren

Assembling furniture amounts to solving the discrete-continuous optimization task of selecting the furniture parts to assemble and estimating their connecting poses in a physically realistic manner. The problem is hampered by its…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Jiahao Zhang , Anoop Cherian , Cristian Rodriguez , Weijian Deng , Stephen Gould

Despite the performance advantages of modern sampling-based motion planners, solving high dimensional planning problems in near real-time remains a challenge. Applications include hyper-redundant manipulators, snake-like and humanoid…

Robotics · Computer Science 2018-02-02 Marios P. Xanthidis , Joel M. Esposito , Ioannis Rekleitis , Jason M. O'Kane

Geometric modeling by constraints leads to large systems of algebraic equations. This paper studies bipartite graphs underlaid by systems of equations. It shows how these graphs make possible to polynomially decompose these systems into…

Discrete Mathematics · Computer Science 2014-05-26 Samy Ait-Aoudia , Roland Jegou , Dominique Michelucci

Controlling the size and shape of assembled structures is a fundamental challenge in self-assembly, and is highly relevant in material design and biology. Here, we show that specific, but promiscuous, short-range binding interactions make…

Soft Condensed Matter · Physics 2025-07-08 Maximilian C. Hübl , Carl P. Goodrich