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In the arbitrary pattern formation problem, $n$ autonomous, mobile robots must form an arbitrary pattern $P \subseteq \mathbb{R}^2$. The (deterministic) robots are typically assumed to be indistinguishable, disoriented, and unable to…

Robotics · Computer Science 2024-04-05 Christopher Hahn , Jonas Harbig , Peter Kling

The deployment of artificial intelligence models at the edge is increasingly critical for autonomous robots operating in GPS-denied environments where local, resource-efficient reasoning is essential. This work demonstrates the feasibility…

Robotics · Computer Science 2025-11-11 Justin Williams , Kishor Datta Gupta , Roy George , Mrinmoy Sarkar

Federated learning is an efficient machine learning tool for dealing with heterogeneous big data and privacy protection. Federated learning methods with regularization can control the level of communications between the central and local…

Machine Learning · Computer Science 2024-11-05 Langming Liu , Dingxuan Zhou

In this paper, we present the design and implementation of a robust motion formation distributed control algorithm for a team of mobile robots. The primary task for the team is to form a geometric shape, which can be freely translated and…

Robotics · Computer Science 2018-09-21 Hector Garcia de Marina , Johan Siemonsma , Bayu Jayawardhana , Ming Cao

We present a new algorithm for the problem of universal gathering mobile oblivious robots (that is, starting from any initial configuration that is not bivalent, using any number of robots, the robots reach in a finite number of steps the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-05 Pierre Courtieu , Lionel Rieg , Sébastien Tixeuil , Xavier Urbain

\textsc{Arbitrary Pattern Formation} is a fundamental problem in autonomous mobile robot systems. The problem asks to design a distributed algorithm that moves a team of autonomous, anonymous and identical mobile robots to form any…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-17 Kaustav Bose , Archak Das , Buddhadeb Sau

We study the rendezvous problem for two robots moving in the plane (or on a line). Robots are autonomous, anonymous, oblivious, and carry colored lights that are visible to both. We consider deterministic distributed algorithms in which…

Multiagent Systems · Computer Science 2012-11-28 Giovanni Viglietta

There has been a wide interest in designing distributed algorithms for tiny robots. In particular, it has been shown that the robots can complete certain tasks even in the presence of faulty robots. In this paper, we focus on gathering of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Debasish Pattanayak , Kaushik Mondal , H. Ramesh , Partha Sarathi Mandal

We consider a swarm of mobile robots evolving in a bidimensional Euclidean space. We study a variant of the crash-tolerant gathering problem: if no robot crashes, robots have to meet at the same arbitrary location, not known beforehand, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-08 Quentin Bramas , Anissa Lamani , Sébastien Tixeuil

In this paper we address the complexity issues of two agreement problems in oblivious robot networks namely gathering and scattering. These abstractions are fundamental coordination problems in cooperative mobile robotics. Moreover, their…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-14 Julien Clement , Xavier Defago , Maria Gradinariu Potop-Butucaru , Stephane Messika

To operate reactively in uncertain environments, robots need to be able to quickly estimate the risk that they will collide with their environment. This ability is important for both planning (to ensure that plans maintain acceptable levels…

Robotics · Computer Science 2020-03-18 Charles Dawson , Andreas Hofmann , Brian Williams

Convex optimization is crucial in controlling legged robots, where stability and optimal control are vital. Many control problems can be formulated as convex optimization problems, with a convex cost function and constraints capturing…

Optimization and Control · Mathematics 2023-07-04 Prathamesh Saraf , Mustafa Shaikh , Myron Phan

We consider the following variant of the two dimensional gathering problem for swarms of robots: Given a swarm of $n$ indistinguishable, point shaped robots on a two dimensional grid. Initially, the robots form a closed chain on the grid…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Sebastian Abshoff , Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

The main challenge of nonconvex optimization is to find a global optimum, or at least to avoid ``bad'' local minima and meaningless stationary points. We study here the extent to which algorithms, as opposed to optimization models and…

Optimization and Control · Mathematics 2025-02-27 Thi Lan Dinh , Wiebke Bennecke , G. S. Matthijs Jansen , D. Russell Luke , Stefan Mathias

Orthogonality constraints naturally appear in many machine learning problems, from principal component analysis to robust neural network training. They are usually solved using Riemannian optimization algorithms, which minimize the…

Machine Learning · Statistics 2025-08-08 Pierre Ablin , Simon Vary , Bin Gao , P. -A. Absil

While classical approaches to autonomous robot navigation currently enable operation in certain environments, they break down in tightly constrained spaces, e.g., where the robot needs to engage in agile maneuvers to squeeze between…

Robotics · Computer Science 2021-01-21 Xuesu Xiao , Bo Liu , Garrett Warnell , Peter Stone

We consider the problem of training a fully convolutional network to estimate the relative 6D pose of a robot given a camera image, when the robot is equipped with independent controllable LEDs placed in different parts of its body. The…

Robotics · Computer Science 2025-01-08 Nicholas Carlotti , Mirko Nava , Alessandro Giusti

We present a unified formal framework for expressing mobile robots models, protocols, and proofs, and devise a protocol design/proof methodology dedicated to mobile robots that takes advantage of this formal framework. As a case study, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-29 Pierre Courtieu , Lionel Rieg , Sébastien Tixeuil , Xavier Urbain

Block coordinate descent is an optimization paradigm that iteratively updates one block of variables at a time, making it quite amenable to big data applications due to its scalability and performance. Its convergence behavior has been…

Optimization and Control · Mathematics 2023-10-13 Liangzu Peng , René Vidal

Cooperative geolocation has attracted significant research interests in recent years. A large number of localization algorithms rely on the availability of statistical knowledge of measurement errors, which is often difficult to obtain in…

Applications · Statistics 2017-01-05 Xiufang Shi , Guoqiang Mao , Brian. D. O. Anderson , Zaiyue Yang , Jiming Chen