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The study of topology is strictly speaking, a topic in pure mathematics. However in only a few years, Topological Data Analysis (TDA), which refers to methods of utilizing topological features in data (such as connected components, tunnels,…

Applications · Statistics 2019-09-25 Nalini Ravishanker , Renjie Chen

The inference of an underlying network topology from local observations of a complex system composed of interacting units is usually attempted by using statistical similarity measures, such as Cross-Correlation (CC) and Mutual Information…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Nicolás Rubido , Arturo C. Martí , Ezequiel Bianco-Martínez , Celso Grebogi , Murilo S. Baptista , Cristina Masoller

Partially-observed data collected by sampling methods is often being studied to obtain the characteristics of information diffusion networks. However, these methods usually do not consider the behavior of diffusion process. In this paper,…

Social and Information Networks · Computer Science 2014-05-30 Motahareh Eslami Mehdiabadi , Hamid R. Rabiee , Mostafa Salehi

In today's hyper-connected world, ensuring the reliability of telecom networks becomes increasingly crucial. Telecom networks encompass numerous underlying and intertwined software and hardware components, each providing different…

Machine Learning · Computer Science 2024-04-16 Mohamad Nabeel , Doumitrou Daniil Nimara , Tahar Zanouda

The paper deals with the problem of reconstructing the topological structure of a network of dynamical systems. A distance function is defined in order to evaluate the "closeness" of two processes and a few useful mathematical properties…

Chaotic Dynamics · Physics 2008-12-02 Donatello W. Materassi , Giacomo W. Innocenti

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

The theory of network identification, namely identifying the (weighted) interaction topology among a known number of agents, has been widely developed for linear agents. However, the theory for nonlinear agents using probing inputs is far…

Systems and Control · Computer Science 2025-01-29 Miel Sharf , Daniel Zelazo

Large-scale integration of distributed energy resources into residential distribution feeders necessitates careful control of their operation through power flow analysis. While the knowledge of the distribution system model is crucial for…

Machine Learning · Computer Science 2020-09-16 Omid Ardakanian , Vincent W. S. Wong , Roel Dobbe , Steven H. Low , Alexandra von Meier , Claire Tomlin , Ye Yuan

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

Methodology · Statistics 2013-11-15 Lucy F. Robinson , Carey E. Priebe

An outage detection framework for power distribution networks is proposed. Given the tree structure of the distribution system, a method is developed combining the use of real-time power flow measurements on edges of the tree with load…

Systems and Control · Computer Science 2016-11-18 Raffi Sevlian , Yue Zhao , Andrea Goldsmith , Ram Rajagopal , H. Vincent Poor

In this paper, we present a Fingerprint Linear Estimation Routine (FLiER) to identify topology changes in power networks using readings from sparsely-deployed phasor measurement units (PMUs). When a power line, load, or generator trips in a…

Systems and Control · Computer Science 2016-07-25 Colin Ponce , David Bindel

In this paper we consider networks of dynamical systems that evolve in synchrony and investigate how dynamical information from the synchronization dynamics can be effectively used to learn the network topology, i.e., identify the time…

Physics and Society · Physics 2009-11-13 Francesco Sorrentino , Edward Ott

The smart grid revolution is creating a paradigm shift in distribution networks that is marked by new, significant intermittencies and uncertainties in power supply and demand. These developments include the dramatic increase in the…

Systems and Control · Computer Science 2016-05-11 Reza Arghandeh

An efficient topology management in future 6G networks is one of the fundamental challenges for a dynamic network creation based on location services, whereby each autonomous network entity, i.e., a sub-network, can be created for a…

Networking and Internet Architecture · Computer Science 2025-02-03 Zied Ennaceur , Mounir Bensalem , Admela Jukan , Claus Keuker , Huanzhuo Wu , Rastin Pries

A fundamental requirement to develop routing strategies in power line networks is the knowledge of the network topology, which might not be complete. In this work, we present a novel method to derive the topology of a distribution network…

Other Computer Science · Computer Science 2016-11-11 Federico Passerini , Andrea M. Tonello

This paper proposes a model-free distribution system state estimation method based on tensor completion using canonical polyadic decomposition. In particular, we consider a setting where the network is divided into multiple areas. The…

Optimization and Control · Mathematics 2022-06-09 Yajing Liu , Ahmed S. Zamzam , Andrey Bernstein

This paper presents a machine learning method for event cause analysis to enhance situational awareness in distribution networks. The data streams are captured using time-synchronized high sampling rates synchro waveform measurement units…

Signal Processing · Electrical Eng. & Systems 2020-08-27 Iman Niazazari , Hanif Livani , Amir Ghasemkhani , Yunchuan Liu , Lei Yang

Many systems of interacting elements can be conceptualized as networks, where network nodes represent the elements and network ties represent interactions between the elements. In systems where the underlying network evolves in time, it is…

Methodology · Statistics 2015-05-05 Ian Barnett , Jukka-Pekka Onnela

A new data-driven method is proposed to detect events in the data streams from distribution-level phasor measurement units, a.k.a., micro-PMUs. The proposed method is developed by constructing unsupervised deep learning anomaly detection…

Systems and Control · Electrical Eng. & Systems 2021-02-02 Armin Aligholian , Alireza Shahsavari , Ed Cortez , Emma Stewart , Hamed Mohsenian-Rad

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo