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While Internet of Things (IoT) devices and sensors create continuous streams of information, Big Data infrastructures are deemed to handle the influx of data in real-time. One type of such a continuous stream of information is time series…

Methodology · Statistics 2020-05-05 Elyas Sabeti , Peter X. K. Song , Alfred O. Hero

Anomalies (unusual patterns) in time-series data give essential, and often actionable information in critical situations. Examples can be found in such fields as healthcare, intrusion detection, finance, security and flight safety. In this…

Applications · Statistics 2016-08-17 Evgeny Burnaev , Vladislav Ishimtsev

To address the challenges that the decarbonization of the energy sector is bringing about, advanced distribution network management and operation strategies are being developed. Many of these strategies require accurate network models to…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Marta Vanin , Frederik Geth , Reinhilde D'hulst , Dirk Van Hertem

Diffusion on complex networks is a convenient framework to simulate a great variety of transport systems. The effects of failures in the network links may be used to cascade phenomena or the congestion formation in the system. A real time…

Physics and Society · Physics 2026-05-26 Edoardo Rolando , Armando Bazzani

Topology learning of networked dynamical systems is an important problem with implications to optimal control, decision-making over networks, cybersecurity and safety. The majority of prior work in consistent topology estimation relies on…

Optimization and Control · Mathematics 2024-10-15 Harish Doddi , Deepjyoti Deka , Murti Salapaka

Tampering of metering infrastructure of an electrical distribution system can significantly cause customers' billing discrepancy. The large-scale deployment of smart meters may potentially be tampered by malware by propagating their agents…

Cryptography and Security · Computer Science 2019-05-01 Yachen Tang , Chee-Wooi Ten , Kevin P. Schneider

Multiple probabilistic packet marking (PPM) schemes for IP traceback have been proposed to deal with Distributed Denial of Service (DDoS) attacks by reconstructing their attack graphs and identifying the attack sources. In this paper, ten…

Networking and Internet Architecture · Computer Science 2016-02-05 Matthias R. Brust , Ankunda R. Kiremire

Identifying the qualitative changes in time-series data provides insights into the dynamics associated with such data. Such qualitative changes can be detected through topological approaches, which first embed the data into a…

Data Analysis, Statistics and Probability · Physics 2019-03-27 Quoc Hoan Tran , Yoshihiko Hasegawa

Topological data analysis is a relatively new branch of machine learning that excels in studying high dimensional data, and is theoretically known to be robust against noise. Meanwhile, data objects with mixed numeric and categorical…

Algebraic Topology · Mathematics 2020-06-15 Chengyuan Wu , Carol Anne Hargreaves

Complex, dynamic networks underlie many systems, and understanding these networks is the concern of a great span of important scientific and engineering problems. Quantitative description is crucial for this understanding yet, due to a…

Increased connectivity and remote reprogrammability/reconfigurability features of embedded devices in current-day power systems (including interconnections between information technology -- IT -- and operational technology -- OT --…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Prashanth Krishnamurthy , Ali Rasteh , Ramesh Karri , Farshad Khorrami

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

Real-time transmission line outage detection is difficult because of partial phasor measurement unit (PMU) deployment and varying outage signal strength. Existing detection approaches focus on monitoring PMU-measured nodal algebraic states,…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Xiaozhou Yang , Nan Chen , Chao Zhai

Ensuring secure and reliable operations of the power grid is a primary concern of system operators. Phasor measurement units (PMUs) are rapidly being deployed in the grid to provide fast-sampled operational data that should enable quicker…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Christopher Hannon , Deepjyoti Deka , Dong Jin , Marc Vuffray , Andrey Y. Lokhov

More than two decades ago, combinatorial topology was shown to be useful for analyzing distributed fault-tolerant algorithms in shared memory systems and in message passing systems. In this work, we show that combinatorial topology can also…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Armando Castañeda , Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum , Matthieu Roy , Corentin Travers

Understanding the mutual interdependence between the behavior of dynamical processes on networks and the underlying topologies promises new insight for a large class of empirical networks. We present a generic approach to investigate this…

Disordered Systems and Neural Networks · Physics 2012-08-08 Steffen Karalus , Markus Porto

In this work, we consider the usage of wireless sensor networks (WSN) to monitor an area of interest, in order to diagnose on real time its state. Each sensor node forwards information about relevant features towards the sink where the data…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-22 Ahmad Farhat , Abdallah Makhoul , Christophe Guyeux , Rami Tawil , Ali Jaber , Abbas Hijazi

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

The emerging deep learning (DL) technology has recently exhibited great potential in data-driven short-term voltage stability (SVS) assessment of complex power grids. However, without sufficient attention to the time-varying topological…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Chao Deng , Lipeng Zhu , Chang Liu , Hefeng Zhai , Baoye Tian , Zexiang Zhu , Jiayong Li , Cong Zhang

Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and…

Algebraic Topology · Mathematics 2025-02-19 Stephen Y Zhang , Michael P H Stumpf , Tom Needham , Agnese Barbensi