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Transport systems on networks are crucial in various applications, but face a significant risk of being adversely affected by unforeseen circumstances such as disasters. The application of entropy-regularized optimal transport (OT) on graph…

Machine Learning · Computer Science 2025-05-07 Koshi Oishi , Yota Hashizume , Tomohiko Jimbo , Hirotaka Kaji , Kenji Kashima

Traditionally power distribution networks are either not observable or only partially observable. This complicates development and implementation of new smart grid technologies, such as those related to demand response, outage detection and…

Optimization and Control · Mathematics 2015-03-02 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Spectral graph sparsification aims to find ultra-sparse subgraphs whose Laplacian matrix can well approximate the original Laplacian eigenvalues and eigenvectors. In recent years, spectral sparsification techniques have been extensively…

Data Structures and Algorithms · Computer Science 2020-04-30 Zhuo Feng

High penetration from volatile renewable energy resources in the grid and the varying nature of loads raise the need for frequent line switching to ensure the efficient operation of electrical distribution networks. Operators must ensure…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Richard Asiamah , Yuqi Zhou , Ahmed S. Zamzam

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

Laplacian eigenvectors capture natural community structures on graphs and are widely used in spectral clustering and manifold learning. The use of Laplacian eigenvectors as embeddings for the purpose of multiscale graph comparison has…

Machine Learning · Statistics 2023-02-07 Edric Tam , David Dunson

Graph spectral analysis can yield meaningful embeddings of graphs by providing insight into distributed features not directly accessible in nodal domain. Recent efforts in graph signal processing have proposed new decompositions-e.g., based…

Machine Learning · Computer Science 2019-03-07 Miljan Petrović , Thomas A. W. Bolton , Maria Giulia Preti , Raphaël Liégeois , Dimitri Van De Ville

Ubiquitous mobile devices are generating vast amounts of location-based service data that reveal how individuals navigate and utilize urban spaces in detail. In this study, we utilize these extensive, unlabeled sequences of user…

Machine Learning · Computer Science 2024-06-06 Xinhua Wu , Haoyu He , Yanchao Wang , Qi Wang

The exploration of large-scale unknown environments can benefit from the deployment of multiple robots for collaborative mapping. Each robot explores a section of the environment and communicates onboard pose estimates and maps to a central…

Robotics · Computer Science 2022-11-03 Lukas Bernreiter , Shehryar Khattak , Lionel Ott , Roland Siegwart , Marco Hutter , Cesar Cadena

Hacking and false data injection from adversaries can threaten power grids' everyday operations and cause significant economic loss. Anomaly detection in power grids aims to detect and discriminate anomalies caused by cyber attacks against…

Machine Learning · Computer Science 2023-03-14 Xijuan Sun , Di Wu , Arnaud Zinflou , Benoit Boulet

Network topology inference is a cornerstone problem in statistical analyses of complex systems. In this context, the fresh look advocated here permeates benefits from convex optimization and graph signal processing, to identify the…

Social and Information Networks · Computer Science 2016-04-12 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

We study the spreading of renewable power fluctuations through grids with Ohmic losses on the lines. By formulating a network adapted linear response theory, we find that vulnerability patterns are linked to the left Laplacian eigenvectors…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Anton Plietzsch , Sabine Auer , Jürgen Kurths , Frank Hellmann

We consider the statistical problem of recovering a hidden "ground truth" binary labeling for the vertices of a graph up to low Hamming error from noisy edge and vertex measurements. We present new algorithms and a sharp finite-sample…

Machine Learning · Computer Science 2018-02-28 Dylan J. Foster , Daniel Reichman , Karthik Sridharan

Recovery of signals with elements defined on the nodes of a graph, from compressive measurements is an important problem, which can arise in various domains such as sensor networks, image reconstruction and group testing. In some scenarios,…

Signal Processing · Electrical Eng. & Systems 2024-02-19 Sabyasachi Ghosh , Ajit Rajwade

Vehicular trajectory data from geolocation telematics is vital for analyzing urban mobility patterns. Map-matching aligns noisy, sparsely sampled GPS trajectories with digital road maps to reconstruct accurate vehicle paths. Traditional…

Artificial Intelligence · Computer Science 2025-03-11 Sevin Mohammadi , Andrew W. Smyth

In theoretical ML, the teacher-student paradigm is often employed as an effective metaphor for real-life tuition. The above scheme proves particularly relevant when the student network is overparameterized as compared to the teacher…

Machine Learning · Computer Science 2023-11-06 Lorenzo Giambagli , Lorenzo Buffoni , Lorenzo Chicchi , Duccio Fanelli

Estimating path loss for a transmitter-receiver location is key to many use-cases including network planning and handover. Machine learning has become a popular tool to predict wireless channel properties based on map data. In this work, we…

The challenge of describing model drift is an open question in unsupervised learning. It can be difficult to evaluate at what point an unsupervised model has deviated beyond what would be expected from a different sample from the same…

Computational Geometry · Computer Science 2018-12-18 Michael McCabe

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

Social and Information Networks · Computer Science 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński