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Adaptive robust optimization problems have received significant attention in recent years, but remain notoriously difficult to solve when recourse decisions are discrete in nature. In this paper, we propose new reformulation techniques for…

Optimization and Control · Mathematics 2024-03-29 Merve Bodur , Timothy C. Y. Chan , Ian Yihang Zhu

We investigate the behavior of extended urban traffic networks within the framework of percolation theory by using real and synthetic traffic data. Our main focus shifts from the statistical properties of the cluster size distribution…

Physics and Society · Physics 2021-07-21 Marco Cogoni , Giovanni Busonera

In this paper, urban traffic is modeled using dual graph representation of urban transportation network where roads are mapped to nodes and intersections are mapped to links. The proposed model considers both the navigation of vehicles on…

Physics and Society · Physics 2009-11-13 Mao-Bin Hu , Rui Jiang , Yong-Hong Wu , Wen-Xu Wang , Qing-Song Wu

Graphs are ubiquitous real-world data structures, and generative models that approximate distributions over graphs and derive new samples from them have significant importance. Among the known challenges in graph generation tasks,…

Machine Learning · Computer Science 2019-10-04 Wataru Kawai , Yusuke Mukuta , Tatsuya Harada

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…

Graph neural networks (GNNs) have gained prominence in recommendation systems in recent years. By representing the user-item matrix as a bipartite and undirected graph, GNNs have demonstrated their potential to capture short- and…

Information Retrieval · Computer Science 2023-11-29 Daniele Malitesta , Claudio Pomo , Tommaso Di Noia

We study the effect of topology variation on the dynamic behavior of a system with local update rules. We implement one-dimensional binary cellular automata on graphs with various topologies by formulating two sets of degree-dependent…

Statistical Mechanics · Physics 2009-11-11 Carsten Marr , Marc-Thorsten Huett

In this paper we introduce a model of spatial network growth in which nodes are placed at randomly selected locations on a unit square in $\mathbb{R}^2$, forming new connections to old nodes subject to the constraint that edges do not…

Physics and Society · Physics 2016-02-12 Garvin Haslett , Seth Bullock , Markus Brede

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

Statistical Mechanics · Physics 2007-05-23 Dafang Zheng , Guler Ergun

Many real-world networks such as social networks consist of strategic agents. The topology of these networks often plays a crucial role in determining the ease and speed with which certain information driven tasks can be accomplished.…

Social and Information Networks · Computer Science 2017-07-03 Swapnil Dhamal , Y. Narahari

Computer or communication networks are so designed that they do not easily get disrupted under external attack and, moreover, these are easily reconstructible if they do get disrupted. These desirable properties of networks can be measured…

Combinatorics · Mathematics 2011-09-23 T. C. E. Cheng , Yinkui Li , Chuandong Xu , Shenggui Zhang

In the communication systems domain, constructing and maintaining network topologies via topology control (TC) algorithms is an important cross-cutting research area. Network topologies are usually modeled using attributed graphs whose…

Software Engineering · Computer Science 2018-05-15 Roland Kluge , Michael Stein , Gergely Varró , Andy Schürr , Matthias Hollick , Max Mühlhäuser

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Information processing in complex systems is often found to be maximally efficient close to critical states associated with phase transitions. It is therefore conceivable that also neural information processing operates close to…

Neurons and Cognition · Quantitative Biology 2015-05-13 Christian Meisel , Thilo Gross

Exploring unknown environments is a fundamental task in many domains, e.g., robot navigation, network security, and internet search. We initiate the study of a learning-augmented variant of the classical, notoriously hard online graph…

Machine Learning · Computer Science 2021-12-13 Franziska Eberle , Alexander Lindermayr , Nicole Megow , Lukas Nölke , Jens Schlöter

In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the…

Soft Condensed Matter · Physics 2009-10-31 Mehran Kardar

Communication networks form the backbone of our society. Topology control algorithms optimize the topology of such communication networks. Due to the importance of communication networks, a topology control algorithm should guarantee…

Software Engineering · Computer Science 2018-05-10 Roland Kluge , Michael Stein , Gergely Varró , Andy Schürr , Matthias Hollick , Max Mühlhäuser

Evolutionary models are used to study the self-organisation of collective action, often incorporating population structure due to its ubiquitous presence and long-known impact on emerging phenomena. We investigate the evolution of…

Populations and Evolution · Quantitative Biology 2023-04-20 Diogo L. Pires , Igor Erovenko , Mark Broom

Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative aggregation of neighbor's/proximity features by…

Machine Learning · Computer Science 2021-06-15 Susheel Suresh , Vinith Budde , Jennifer Neville , Pan Li , Jianzhu Ma

We study models of weighted exponential random graphs in the large network limit. These models have recently been proposed to model weighted network data arising from a host of applications including socio-econometric data such as migration…

Probability · Mathematics 2018-07-12 Shankar Bhamidi , Suman Chakraborty , Skyler Cranmer , Bruce Desmarais