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Euclidean distance matrix optimization with ordinal constraints (EDMOC) has found important applications in sensor network localization and molecular conformation. It can also be viewed as a matrix formulation of multidimensional scaling,…

Optimization and Control · Mathematics 2020-06-23 Sitong Lu , Miao Zhang , Qingna Li

Ergodic search enables optimal exploration of an information distribution while guaranteeing the asymptotic coverage of the search space. However, current methods typically have exponential computation complexity in the search space…

Robotics · Computer Science 2025-02-07 Max Muchen Sun , Ayush Gaggar , Peter Trautman , Todd Murphey

Guidance commands of flight vehicles are a series of data sets with fixed time intervals, thus guidance design constitutes a sequential decision problem and satisfies the basic conditions for using deep reinforcement learning (DRL). In this…

Machine Learning · Computer Science 2024-05-08 Xiao Hu , Tianshu Wang , Min Gong , Shaoshi Yang

Navigation of a team of autonomous underwater vehicles (AUVs) coordinated by an unmanned surface vehicle (USV) is efficient and reliable for deep ocean exploration. AUVs depart from and return to the USV after collaborative navigation, data…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Mohsen Eskandari , Andrey V. Savkin , Mohammad Deghat

Finding the optimal embedding of networks into low-dimensional hyperbolic spaces is a challenge that received considerable interest in recent years, with several different approaches proposed in the literature. In general, these methods…

Physics and Society · Physics 2024-01-08 Bendegúz Sulyok , Gergely Palla

The ergodic hypothesis is examined for energetically open fluid systems represented by the barotropic Navier--Stokes equations with general inflow/outflow boundary conditions. We show that any globally bounded trajectory generates a…

Analysis of PDEs · Mathematics 2021-05-19 Francesco Fanelli , Eduard Feireisl , Martina Hofmanová

To safely traverse non-flat terrain, robots must account for the influence of terrain shape in their planned motions. Terrain-aware motion planners use an estimate of the vehicle roll and pitch as a function of pose, vehicle suspension, and…

Network data is ubiquitous in various scientific disciplines, including sociology, economics, and neuroscience. Latent space models are often employed in network data analysis, but the geometric effect of latent space curvature remains a…

Methodology · Statistics 2026-02-11 Jinming Li , Gongjun Xu , Ji Zhu

Unmanned Aerial Vehicles (UAVs) are increasingly essential in various fields such as surveillance, reconnaissance, and telecommunications. This study aims to develop a learning algorithm for the path planning of UAV wireless communication…

Machine Learning · Computer Science 2025-01-20 Joseanne Viana , Boris Galkin , Lester Ho , Holger Claussen

For unmanned aerial vehicle (UAV) trajectory design, the total propulsion energy consumption and initial-final location constraints are practical factors to consider. However, unlike traditional offline designs, these two constraints are…

Signal Processing · Electrical Eng. & Systems 2024-07-18 Yifan Jiang , Qingqing Wu , Wen Chen , Hongxun Hui

Trajectory optimization with contact-rich behaviors has recently gained attention for generating diverse locomotion behaviors without pre-specified ground contact sequences. However, these approaches rely on precise models of robot dynamics…

Robotics · Computer Science 2020-09-29 Luke Drnach , Ye Zhao

This paper proposes a decentralized trajectory planning framework for the collision avoidance problem of multiple micro aerial vehicles (MAVs) in environments with static and dynamic obstacles. The framework utilizes spatiotemporal…

Robotics · Computer Science 2024-04-25 Siyuan Wu , Gang Chen , Moji Shi , Javier Alonso-Mora

We introduce Air Learning, an open-source simulator, and a gym environment for deep reinforcement learning research on resource-constrained aerial robots. Equipped with domain randomization, Air Learning exposes a UAV agent to a diverse set…

Robotics · Computer Science 2022-11-15 Srivatsan Krishnan , Behzad Boroujerdian , William Fu , Aleksandra Faust , Vijay Janapa Reddi

Modern unmanned systems, including aerial, terrestrial, and underwater vehicles, are increasingly utilized in dynamic and unpredictable environments, where the presence of modeling uncertainties necessitates the development of robust and…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Maryam Norouzi , Mingxi Zhou , Chengzhi Yuan

Unsupervised Environment Design (UED) is a paradigm for automatically generating a curriculum of training environments, enabling agents trained in these environments to develop general capabilities, i.e., achieving good zero-shot transfer…

Machine Learning · Computer Science 2024-02-16 Dexun Li , Pradeep Varakantham

We study ergodic properties of a family of traffic maps acting in the space of bi-infinite sequences of real numbers. The corresponding dynamics mimics the motion of vehicles in a simple traffic flow, which explains the name. Using…

Dynamical Systems · Mathematics 2015-06-11 Michael Blank

This paper studies a new unmanned aerial vehicle (UAV)-enabled wireless power transfer (WPT) system, where a UAV-mounted mobile energy transmitter (ET) is dispatched to deliver wireless energy to a set of on-ground energy receivers (ERs).…

Information Theory · Computer Science 2017-09-25 Jie Xu , Yong Zeng , Rui Zhang

We consider the problem of optimizing the trajectory of an Unmanned Aerial Vehicle (UAV). Assuming a traffic intensity map of users to be served, the UAV must travel from a given initial location to a final position within a given duration…

Optimization and Control · Mathematics 2021-02-05 Marceau Coupechoux , Jérôme Darbon , Jean-Marc Kélif , Marc Sigelle

In this paper we address the problem of path planning in an unknown environment with an aerial robot. The main goal is to safely follow the planned trajectory by avoiding obstacles. The proposed approach is suitable for aerial vehicles…

Robotics · Computer Science 2023-06-29 Ana Batinovic , Jurica Goricanec , Lovro Markovic , Stjepan Bogdan

We consider the problem of combining potential field and ergodic search on multi-robot systems. Traditional ergodic search algorithms use metrics for ergodicity that account for the desired distribution at different scales. Recently, a heat…

Robotics · Computer Science 2026-05-26 Thales C. Silva , Anoop Kiran , Nora Ayanian