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In this paper, we investigate the possibility to deterministically solve the gathering problem (GP) with weak robots (anonymous, autonomous, disoriented, deaf and dumb, and oblivious). We introduce strong multiplicity detection as the…

Multiagent Systems · Computer Science 2009-05-07 Yoann Dieudonné , Franck Petit

In the pattern formation problem, robots in a system must self-coordinate to form a given pattern, regardless of translation, rotation, uniform-scaling, and/or reflection. In other words, a valid final configuration of the system is a…

Computational Geometry · Computer Science 2020-06-30 Jared Coleman , Evangelos Kranakis , Oscar Morales-Ponce , Jaroslav Opatrny , Jorge Urrutia , Birgit Vogtenhuber

Multi-robot planning and coordination in uncertain environments is a fundamental computational challenge, since the belief space increases exponentially with the number of robots. In this paper, we address the problem of planning in…

Robotics · Computer Science 2025-06-23 Cora A. Duggan , Kevin C. Wolfe , Bradley Woosley , Marin Kobilarov , Joseph Moore

We investigate gathering algorithms for asynchronous autonomous mobile robots moving in uniform ring-shaped networks. Different from most work using the Look-Compute-Move (LCM) model, we assume that robots have limited visibility and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-13 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sébastien Tixeuil , Koichi Wada

Multi-robot target tracking is a fundamental problem that requires coordinated monitoring of dynamic entities in applications such as precision agriculture, environmental monitoring, disaster response, and security surveillance. While…

Robotics · Computer Science 2025-09-29 Xiaofan Yu , Yuwei Wu , Katherine Mao , Ye Tian , Vijay Kumar , Tajana Rosing

We train a linear attention transformer on millions of masked-block matrix completion tasks: each prompt is masked low-rank matrix whose missing block may be (i) a scalar prediction target or (ii) an unseen kernel slice of Nystr\"om…

Machine Learning · Computer Science 2025-09-25 Patrick Lutz , Aditya Gangrade , Hadi Daneshmand , Venkatesh Saligrama

We consider geometric collision-detection problems for modular reconfigurable robots. Assuming the nodes (modules) are connected squares on a grid, we investigate the complexity of deciding whether collisions may occur, or can be avoided,…

Computational Geometry · Computer Science 2023-05-03 Siddharth Gupta , Marc van Kreveld , Othon Michail , Andreas Padalkin

Multi-robot coordination is crucial for autonomous systems, yet real-world deployments often encounter various failures. These include both temporary and permanent disruptions in sensing and communication, which can significantly degrade…

Robotics · Computer Science 2025-08-11 Peihan Li , Jiazhen Liu , Yuwei Wu , Lifeng Zhou

Federated learning has received fast-growing interests from academia and industry to tackle the challenges of data hungriness and privacy in machine learning. A federated learning system can be viewed as a large-scale distributed system…

Machine Learning · Computer Science 2021-06-21 Sin Kit Lo , Qinghua Lu , Liming Zhu , Hye-young Paik , Xiwei Xu , Chen Wang

This paper studies a multi-robot visibility-based pursuit-evasion problem in which a group of pursuer robots are tasked with detecting an evader within a two dimensional polygonal environment. The primary contribution is a novel formulation…

Robotics · Computer Science 2021-09-21 Trevor Olsen , Nicholas M. Stiffler , Jason M. O'Kane

In Model Predictive Control (MPC), discrepancies between the actual system and the predictive model can lead to substantial tracking errors and significantly degrade performance and reliability. While such discrepancies can be alleviated…

Fast decoders that achieve strong error suppression are essential for fault-tolerant quantum computation (FTQC) from both practical and theoretical perspectives. The union-find (UF) decoder for the surface code is widely regarded as a…

Quantum Physics · Physics 2026-05-07 Satoshi Yoshida , Ethan Lake , Hayata Yamasaki

We present a sound and complete unification procedure for deterministic higher-order patterns, a class of simply-typed lambda terms introduced by Yokoyama et al. which comes with a deterministic matching problem. Our unification procedure…

Logic in Computer Science · Computer Science 2026-05-11 Johannes Niederhauser , Aart Middeldorp

Obstacle avoidance is central to safe navigation, especially for robots with arbitrary and nonconvex geometries operating in cluttered environments. Existing Control Barrier Function (CBF) approaches often rely on analytic clearance…

Robotics · Computer Science 2025-09-22 Shuo Liu , Zhe Huang , Calin A. Belta

We prove global convergence of classical projection algorithms for feasibility problems involving union convex sets, which refer to sets expressible as the union of a finite number of closed convex sets. We present a unified strategy for…

Optimization and Control · Mathematics 2023-07-18 Jan Harold Alcantara , Ching-pei Lee

Both pedestrian and robot comfort are of the highest priority whenever a robot is placed in an environment containing human beings. In the case of pedestrian-unaware mobile robots this desire for safety leads to the freezing robot problem,…

Robotics · Computer Science 2022-06-03 Emily Pruc , Shlomo Zilberstein , Joydeep Biswas

In this paper we investigate the computational power of a set of mobile robots with limited visibility. At each iteration, a robot takes a snapshot of its surroundings, uses the snapshot to compute a destination point, and it moves toward…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-07 Giuseppe A. Di Luna , Paola Flocchini , Nicola Santoro , Giovanni Viglietta

A central challenge in continual learning is forgetting, the loss of performance on previously learned tasks induced by sequential adaptation to new ones. While forgetting has been extensively studied empirically, rigorous theoretical…

Machine Learning · Computer Science 2026-04-16 Zonghuan Xu , Xingjun Ma

In practical applications, the unpredictable movement of obstacles and the imprecise state observation of robots introduce significant uncertainties for the swarm of robots, especially in cluster environments. However, existing methods are…

Robotics · Computer Science 2024-10-18 Peng Liu , Pengming Zhu , Zhiwen Zeng , Xuekai Qiu , Yu Wang , Huimin Lu

Spatio-temporal patterns emerging from an initial quiescent, uniform state is a phenomenon observed in many dynamical systems sustained far from thermodynamic equilibrium, the practical application of which has only recently begun to be…

Pattern Formation and Solitons · Physics 2026-02-05 Vinod Ramakrishnan , Michael J. Frazier