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Network modeling is a critical component for building self-driving Software-Defined Networks, particularly to find optimal routing schemes that meet the goals set by administrators. However, existing modeling techniques do not meet the…

Networking and Internet Architecture · Computer Science 2021-06-15 Krzysztof Rusek , José Suárez-Varela , Albert Mestres , Pere Barlet-Ros , Albert Cabellos-Aparicio

In this work we consider a flow network for which the goal is to solve a practical optimal regulation problem in the presence of input saturation. Based on Lyapunov arguments we propose distributed controllers which guarantee global…

Optimization and Control · Mathematics 2016-06-28 Tjardo Scholten , Claudio De Persis , Pietro Tesi

At high latitudes, many cities adopt a centralized heating system to improve the energy generation efficiency and to reduce pollution. In multi-tier systems, so-called district heating, there are a few efficient approaches for the flow rate…

Systems and Control · Electrical Eng. & Systems 2019-12-12 Tinghao Zhang , Jing Luo , Ping Chen , Jie Liu

Graph signal processing represents an important advancement in the field of data analysis, extending conventional signal processing methodologies to complex networks and thereby facilitating the exploration of informative patterns and…

Signal Processing · Electrical Eng. & Systems 2024-06-07 Keivan Faghih Niresi , Lucas Kuhn , Gaëtan Frusque , Olga Fink

The 4th generation of district heating systems face a potential problem where lowered water temperatures lead to higher flow rates, which requires higher hydraulic capacity in terms of pipe and pump sizes. This increases the effect of the…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Felix Agner , Pauline Kergus , Richard Pates , Anders Rantzer

We propose an end-to-end framework based on a Graph Neural Network (GNN) to balance the power flows in energy grids. The balancing is framed as a supervised vertex regression task, where the GNN is trained to predict the current and power…

Machine Learning · Computer Science 2022-08-15 Jonas Berg Hansen , Stian Normann Anfinsen , Filippo Maria Bianchi

This paper investigates the control of flow networks, where the control objective is to regulate the measured output (e.g storage levels) towards a desired value. We present a distributed controller that dynamically adjusts the inputs and…

Systems and Control · Computer Science 2017-08-03 Sebastian Trip , Tjardo Scholten , Claudio De Persis

Heat diffusion describes the process by which heat flows from areas with higher temperatures to ones with lower temperatures. This concept was previously adapted to graph structures, whereby heat flows between nodes of a graph depending on…

Signal Processing · Electrical Eng. & Systems 2024-05-01 Stephan Goerttler , Fei He , Min Wu

Biological transport networks are highly optimized structures that ensure power-efficient distribution of fluids across various domains, including animal vasculature and plant venation. Theoretically, these networks can be described as…

Biological Physics · Physics 2025-08-01 Albert Alonso , Lars Erik J. Skjegstad , Julius B. Kirkegaard

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

Social and Information Networks · Computer Science 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

This work concerns reduction of the peak flow rate of a district heating grid, a key system property which is bounded by pipe dimensions and pumping capacity. The peak flow rate constrains the number of additional consumers that can be…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Felix Agner , Ulrich Trabert , Anders Rantzer , Janybek Orozaliev

The increasing electricity use and reliance on intermittent renewable energy sources challenge power grid management during peak demand, making Demand Response programs and energy conservation measures essential. This research combines…

Optimization and Control · Mathematics 2024-07-12 Vincent Taboga , Hanane Dagdougui

Diffusion-based graph generative models have recently obtained promising results for graph generation. However, existing diffusion-based graph generative models are mostly one-shot generative models that apply Gaussian diffusion in the…

Artificial Intelligence · Computer Science 2023-07-19 Lingkai Kong , Jiaming Cui , Haotian Sun , Yuchen Zhuang , B. Aditya Prakash , Chao Zhang

Water networks are used in numerous applications, all of which have the essential task of real-time monitoring and control of water states. A framework for the generation of efficient models of water networks suitable for real-time…

Systems and Control · Electrical Eng. & Systems 2022-03-23 Ahmed Elkhashap , Daniel Rüschen , Dirk Abel

Motivated by multi-topology building and city model data, first a lossless representation of multiple $T_0$-topologies on a given finite set by a vertex-edge-weighted graph is given, and the subdominant ultrametric of the associated…

Discrete Mathematics · Computer Science 2024-11-05 Patrick Erik Bradley , Angel Alfredo Moran Ledezma

This paper proposes a novel approach using Graph Neural Networks (GNNs) to solve the AC Power Flow problem in power grids. AC OPF is essential for minimizing generation costs while meeting the operational constraints of the grid.…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Seyedamirhossein Talebi , Kaixiong Zhou

The transient response of power grids to external disturbances influences their stable operation. This paper studies the effect of topology in linear time-invariant dynamics of different power grids. For a variety of objective functions, a…

Systems and Control · Computer Science 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

The increasing share of renewable energy sources on distribution grid level as well as the emerging active role of prosumers lead to both higher distribution grid utilization, and at the same time greater unpredictability of energy…

Signal Processing · Electrical Eng. & Systems 2023-03-10 Hüseyin K. Çakmak , Luc Janecke , Veit Hagenmeyer

Real-world social and economic networks typically display a number of particular topological properties, such as a giant connected component, a broad degree distribution, the small-world property and the presence of communities of densely…

Disordered Systems and Neural Networks · Physics 2013-09-05 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

Recent advances in Machine Learning (ML) have shown a great potential to build data-driven solutions for a plethora of network-related problems. In this context, building fast and accurate network models is essential to achieve functional…

Networking and Internet Architecture · Computer Science 2021-03-17 Miquel Ferriol-Galmés , José Suárez-Varela , Pere Barlet-Ros , Albert Cabellos-Aparicio