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In previous work, we derived new energy and entropy stable open boundary conditions and implementation procedures for linear and nonlinear initial boundary value problems. These boundary procedures results in estimates bounded by external…

Numerical Analysis · Mathematics 2025-09-16 Jan Nordström

This paper presents a distributed multi-layer ring barrier coverage algorithm. In order to achieve single-layer ring barrier coverage, a distributed single-layer ring barrier coverage algorithm that maximises the probability of monitoring…

Optimization and Control · Mathematics 2023-01-06 Pengyang Fan , Chao Zhai

The stack in various forms has been widely used as an architectural template for networking systems. Recently the stack has been subject to criticism for a lack of flexibility. However, when it comes right down to it nobody has offered a…

Networking and Internet Architecture · Computer Science 2009-02-25 Michael Neufeld , Craig Partridge

Nonlinear perturbation of Fuchsian systems are studied in a region including two singularities. It is proved that such systems are generally not analytically equivalent to their linear part (they are not linearizable) and the obstructions…

Classical Analysis and ODEs · Mathematics 2009-11-13 Rodica D. Costin

Enabling vertical use cases for the sixth generation (6G) wireless networks, such as automated manufacturing, immersive extended reality (XR), and self-driving fleets, will require network designs that meet reliability and latency targets…

Networking and Internet Architecture · Computer Science 2025-05-15 Jacek Kibiłda , Dian Echevarría Pérez , André Gomes , Onel L. Alcaraz López , Arthur S. de Sena , Nurul Huda Mahmood , Hirley Alves

This paper introduces a general modeling framework for a multi-type maximal covering location problem in which the position of facilities in different metric spaces are simultaneously decided to maximize the demand generated by a set of…

Optimization and Control · Mathematics 2021-11-30 Víctor Blanco , Ricardo Gázquez , Francisco Saldanha-da-Gama

Given a set of objects with durations (jobs) that cover a base region, can we schedule the jobs to maximize the duration the original region remains covered? We call this problem the sensor cover problem. This problem arises in the context…

Data Structures and Algorithms · Computer Science 2007-05-23 Adam L. Buchsbaum , Alon Efrat , Shaili Jain , Suresh Venkatasubramanian , Ke Yi

We consider two covering variants of the network design problem. We are given a set of origin/destination pairs, called O/D pairs, and each such O/D pair is covered if there exists a path in the network from the origin to the destination…

Optimization and Control · Mathematics 2021-09-07 Víctor Bucarey , Bernard Fortz , Natividad González-Blanco , Martine Labbé , Juan A. Mesa

Resource allocation and transceivers in wireless networks are usually designed by solving optimization problems subject to specific constraints, which can be formulated as variable or functional optimization. If the objective and constraint…

Machine Learning · Computer Science 2020-01-06 Dong Liu , Chengjian Sun , Chenyang Yang , Lajos Hanzo

Evaluating conditional coverage remains one of the most persistent challenges in assessing the reliability of predictive systems. Although conformal methods can give guarantees on marginal coverage, no method can guarantee to produce sets…

Machine Learning · Statistics 2025-12-15 Sacha Braun , David Holzmüller , Michael I. Jordan , Francis Bach

Nonlinear system identification remains an important open challenge across research and academia. Large numbers of novel approaches are seen published each year, each presenting improvements or extensions to existing methods. It is natural,…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Max D. Champneys , Gerben I. Beintema , Roland Tóth , Maarten Schoukens , Timothy J. Rogers

The analytical characterization of coverage probability in finite three-dimensional wireless networks has long remained an open problem, hindered by the loss of spatial independence in finite-node settings and the coupling between link…

Networking and Internet Architecture · Computer Science 2025-11-03 Yunfeng Jiang , Zhiming Huang , Jianping Pan

The present paper refers to the theory and the practice of the systems regarding non-linear systems and their applications. We aimed the integration of these systems to elaborate their response as well as to highlight some outstanding…

Discrete Mathematics · Computer Science 2009-03-26 Petre Bucur , Lucian Luca

This paper considers deployment problems where a mobile robotic network must optimize its configuration in a distributed way in order to minimize a steady-state cost function that depends on the spatial distribution of certain probabilistic…

Optimization and Control · Mathematics 2012-08-20 Jerome Le Ny , George J. Pappas

The production of thematic maps depicting land cover is one of the most common applications of remote sensing. To this end, several semantic segmentation approaches, based on deep learning, have been proposed in the literature, but land…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Guillem Pascual , Santi Seguí , Jordi Vitrià

Wireless communication systems exhibit structural and functional similarities to neural networks: signals propagate through cascaded elements, interact with the environment, and undergo transformations. Building upon this perspective, we…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Meng Hua , Itsik Bergel , Tolga Girici , Marco Di Renzo , Deniz Gunduz

Many combinatorial optimization problems such as the bin packing and multiple knapsack problems involve assigning a set of discrete objects to multiple containers. These problems can be used to model task and resource allocation problems in…

Artificial Intelligence · Computer Science 2011-10-12 A. S. Fukunaga , R. E. Korf

Many analytic results for the connectivity, coverage, and capacity of wireless networks have been reported for the case where the number of nodes, $n$, tends to infinity (large-scale networks). The majority of these results have not been…

Information Theory · Computer Science 2012-11-12 Ali Eslami , Mohammad Nekoui , Hossein Pishro-Nik , F. Fekri

Advancements in high-frequency communication technologies using millimeter waves (mmWave), Tera- Hertz (THz), and optical wireless frequency bands are key for extending wireless connectivity beyond 5G. These technologies offer a broader…

Optimization and Control · Mathematics 2025-07-30 Mohsen Abedi , Alexis A. Dowhuszko , Mehdi Sookhak , Risto Wichman

Robust autonomy stacks require tight integration of perception, motion planning, and control layers, but these layers often inadequately incorporate inherent perception and prediction uncertainties, either ignoring them altogether or making…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Venkatraman Renganathan , Sleiman Safaoui , Aadi Kothari , Benjamin Gravell , Iman Shames , Tyler Summers
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