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Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

Physics and Society · Physics 2010-09-23 A. Yazdani , P. Jeffrey

This paper proposes an attributed network growth model. Despite the knowledge that individuals use limited resources to form connections to similar others, we lack an understanding of how local and resource-constrained mechanisms explain…

Social and Information Networks · Computer Science 2019-04-17 Harshay Shah , Suhansanu Kumar , Hari Sundaram

This paper aims to measure the efficiency of urban street networks (a kind of complex networks) from the perspective of the multidimensional chain of connectivity (or flow). More specifically, we define two quantities: flow dimension and…

Data Analysis, Statistics and Probability · Physics 2008-05-13 Bin Jiang

Drinking water distribution networks (WDN) are large-scale, dynamic systems spanning large geographic areas. Water networks include various components such as junctions, reservoirs, tanks, pipes, pumps, and valves. Hydraulic models for…

Optimization and Control · Mathematics 2020-03-06 Ramsey Shadfan , Shen Wang , Sebastian A. Nugroho , Fengxin Chen , Ahmad F. Taha

The classic pump scheduling or Optimal Water Flow (OWF) problem for water distribution networks (WDNs) minimizes the cost of power consumption for a given WDN over a fixed time horizon. In its exact form, the OWF is a computationally…

In wet-lab experiments, the slime mold Physarum polycephalum has demonstrated its ability to solve shortest path problems and to design efficient networks. For the shortest path problem, a mathematical model for the evolution of the slime…

We investigate the task of missing value estimation in graphs as given by water distribution systems (WDS) based on sparse signals as a representative machine learning challenge in the domain of critical infrastructure. The underlying…

Machine Learning · Computer Science 2022-11-18 Inaam Ashraf , Luca Hermes , André Artelt , Barbara Hammer

This research explores the joint expansion planning of power and water distribution networks, which exhibit interdependence at various levels. We specifically focus on the dependency arising from the power consumption of pumps and develop…

Optimization and Control · Mathematics 2023-12-19 Sai Krishna Kanth Hari , Ahmed Zamzam , Byron Tasseff , Russell Bent , Clayton Barrows

Urban infrastructure networks play a major role in providing reliable flows of multitude critical services demanded by citizens in modern cities. We analyzed here a database of 125 infrastructure networks, roads (RN); urban drainage…

In the realm of biological flow networks, the ability to dynamically adjust to varying demands is paramount. Drawing inspiration from the remarkable adaptability of Physarum polycephalum, we present a novel physical mechanism tailored to…

Soft Condensed Matter · Physics 2023-10-05 Vidyesh Rao Anisetti , Ananth Kandala , J. M. Schwarz

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Addressing challenges in urban water infrastructure systems including aging infrastructure, supply uncertainty, extreme events, and security threats, depend highly on water distribution networks modeling emphasizing the importance of…

Optimization and Control · Mathematics 2020-05-20 Shen Wang , Ahmad F. Taha , Lina Sela , Marcio Giacomoni , Nikolaos Gatsis

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

Generative Flow Networks (GFlowNets) have emerged as a powerful paradigm for generating composite structures, demonstrating considerable promise across diverse applications. While substantial progress has been made in exploring their…

Machine Learning · Computer Science 2025-05-06 Tianshu Yu

Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature. Often, the relevant optimization functional is non-convex and characterized by…

Biological Physics · Physics 2016-09-23 Henrik Ronellenfitsch , Eleni Katifori

The structure and design of optimal supply networks is an important topic in complex networks research. A fundamental trait of natural and man-made networks is the emergence of loops and the trade-off governing their formation: adding…

Physics and Society · Physics 2020-11-25 Franz Kaiser , Henrik Ronellenfitsch , Dirk Witthaut

Water distribution networks (WDNs) are critical systems for our society and detecting leakages is important for minimizing losses and water waste. This makes optimal sensor placement for leakage detection very relevant. Existing sensor…

Systems and Control · Electrical Eng. & Systems 2025-08-20 J. J. H. van Gemert , V. Breschi , D. R. Yntema , K. J. Keesman , M. Lazar

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

Learning conditional densities and identifying factors that influence the entire distribution are vital tasks in data-driven applications. Conventional approaches work mostly with summary statistics, and are hence inadequate for a…

Methodology · Statistics 2022-09-13 Chengliang Tang , Nathan Lenssen , Ying Wei , Tian Zheng