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The aim of this paper is to present how data collected from a water distribution network (WDN) can be used to reconstruct flow rate and flow direction all over the network to enhance knowledge and detection of unforeseen events. The…

Physics and Society · Physics 2018-07-27 Christophe Dumora , David Auber , Jérémie Bigot , Vincent Couallier , Cyril Leclerc

This paper synthesizes anytime algorithms, in the form of continuous-time dynamical systems, to solve monotone variational inequalities. We introduce three algorithms that solve this problem: the projected monotone flow, the safe monotone…

Optimization and Control · Mathematics 2025-02-18 Ahmed Allibhoy , Jorge Cortés

Competitive resource allocation problems over frequency and space can be formulated as minimax interaction between transmit power and worst-case interference. This formulation naturally arises in multi-operator low Earth orbit (LEO)…

Information Theory · Computer Science 2026-05-27 Xindi Tong , Chee Wei Tan , H. Vincent Poor

Water management is one of the most critical aspects of our society, together with population increase and climate change. Water scarcity requires a better characterization and monitoring of Water Distribution Networks (WDNs). This paper…

Signal Processing · Electrical Eng. & Systems 2025-05-13 Tiziana Cattai , Stefania Sardellitti , Stefania Colonnese , Francesca Cuomo , Sergio Barbarossa

We prove an existence result for the steady state flow of gas mixtures on networks. The basis of the model are the physical principles of the isothermal Euler equation, coupling conditions for the flow and pressure, and the mixing of…

Analysis of PDEs · Mathematics 2024-11-07 Alena Ulke , Michael Schuster , Simone Göttlich

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

In multi-hop wireless networks, flow demands mean that some nodes have routing demands of transmitting their data to other nodes with a certain level of transmission rate. When a set of nodes have been deployed with flow demands, it is…

Networking and Internet Architecture · Computer Science 2015-03-31 Zimu Yuan

The operation of water distribution networks simply aims at efficiently delivering consumers adequate water while maintaining safe water quality (WQ). However, this process entails a multi-scale interplay between hydraulic and WQ dynamics…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Salma M. Elsherif , Mohamad H. Kazma , Ahmad F. Taha

We employ the principle of minimum pressure gradient to transform problems in unsteady computational fluid dynamics (CFD) into a convex optimization framework subject to linear constraints. This formulation permits solving, for the first…

Fluid Dynamics · Physics 2025-01-15 Hussam Sababha , Haithem Taha , Mohammed Daqaq

The AC power flow equations describe the steady-state behavior of the power grid. While many algorithms have been developed to compute solutions to the power flow equations, few theoretical results are available characterizing when such…

Optimization and Control · Mathematics 2017-06-19 Krishnamurthy Dvijotham , Enrique Mallada , John W Simpson-Porco

We introduce a general framework for flow problems over hypergraphs. In our problem formulation, which we call the convex flow problem, we have a concave utility function for the net flow at every node and a concave utility function for…

Optimization and Control · Mathematics 2024-05-21 Theo Diamandis , Guillermo Angeris , Alan Edelman

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

Optimization and Control · Mathematics 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

The critical role of gas fired-plants to compensate renewable generation has increased the operational variability in natural gas networks (GN). Towards developing more reliable and efficient computational tools for GN monitoring, control,…

Optimization and Control · Mathematics 2018-09-25 Manish K. Singh , Vassilis Kekatos

Strong resilience properties of dynamical flow networks are analyzed for distributed routing policies. The latter are characterized by the property that the way the inflow at a non-destination node gets split among its outgoing links is…

Systems and Control · Computer Science 2011-03-28 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

This thesis focuses on link scheduling in wireless mesh networks by taking into account physical layer characteristics. The assumption made throughout is that a packet is received successfully only if the Signal to Interference and Noise…

Networking and Internet Architecture · Computer Science 2008-12-31 Ashutosh Deepak Gore

Water-filling solutions play an important role in the designs for wireless communications, e.g., transmit covariance matrix design. A traditional physical understanding is to use the analogy of pouring water over a pool with fluctuating…

Information Theory · Computer Science 2020-01-16 Chengwen Xing , Yindi Jing , Shuai Wang , Shaodan Ma , H. Vincent Poor

Many combinatorial problems deal with preferences and violations, the goal of which is to find solutions with the minimum cost. Weighted constraint satisfaction is a framework for modeling such problems, which consists of a set of cost…

Artificial Intelligence · Computer Science 2014-01-21 J. H. M. Lee , Ka Lun Leung

The convergence properties of the Iterative water-filling (IWF) based algorithms have been derived in the ideal situation where the transmitters in the network are able to obtain the exact value of the interference plus noise (IPN)…

Information Theory · Computer Science 2015-05-27 Mingyi Hong , Alfredo Garcia

Conditioning diffusion and flow models have proven effective for super-resolving small-scale details in natural images.However, in physical sciences such as weather, super-resolving small-scale details poses significant challenges due to:…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Stathi Fotiadis , Noah Brenowitz , Tomas Geffner , Yair Cohen , Michael Pritchard , Arash Vahdat , Morteza Mardani