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This paper considers the problem of detecting topology variations in dynamical networks. We consider a network whose behavior can be represented via a linear dynamical system. The problem of interest is then that of finding conditions under…

Systems and Control · Computer Science 2015-04-17 G. Battistelli , P. Tesi

Given high-dimensional time series data (e.g., sensor data), how can we detect anomalous events, such as system faults and attacks? More challengingly, how can we do this in a way that captures complex inter-sensor relationships, and…

Machine Learning · Computer Science 2021-06-15 Ailin Deng , Bryan Hooi

The popularity and amazing attractiveness of cryptocurrencies, and especially Bitcoin, absorb countless enthusiasts daily. Although Blockchain technology prevents fraudulent behavior, it cannot detect fraud on its own. There are always…

Cryptography and Security · Computer Science 2021-07-05 Mohammad Javad Shayegan , Hamid Reza Sabor

Global illicit fund flows exceed an estimated $3.1 trillion annually, with stablecoins emerging as a preferred laundering medium due to their liquidity. While decentralized protocols increasingly adopt zero-knowledge proofs to obfuscate…

Cryptography and Security · Computer Science 2026-02-23 Luciano Juvinski , Haochen Li , Alessio Brini

We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

As networks continue to grow in complexity and scale, detecting anomalies has become increasingly challenging, particularly in diverse and geographically dispersed environments. Traditional approaches often struggle with managing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-11 William Marfo , Enrique A. Rico , Deepak K. Tosh , Shirley V. Moore

Given sensor readings over time from a power grid, how can we accurately detect when an anomaly occurs? A key part of achieving this goal is to use the network of power grid sensors to quickly detect, in real-time, when any unusual events,…

Machine Learning · Computer Science 2021-12-06 Shimiao Li , Amritanshu Pandey , Bryan Hooi , Christos Faloutsos , Larry Pileggi

Detecting anomalies for dynamic graphs has drawn increasing attention due to their wide applications in social networks, e-commerce, and cybersecurity. Recent deep learning-based approaches have shown promising results over shallow methods.…

Machine Learning · Computer Science 2021-10-29 Yixin Liu , Shirui Pan , Yu Guang Wang , Fei Xiong , Liang Wang , Qingfeng Chen , Vincent CS Lee

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

Statistical Mechanics · Physics 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

Anomaly detection in complex domains poses significant challenges due to the need for extensive labeled data and the inherently imbalanced nature of anomalous versus benign samples. Graph-based machine learning models have emerged as a…

Machine Learning · Computer Science 2025-07-21 Yifan Wei , Anwar Said , Waseem Abbas , Xenofon Koutsoukos

Anomaly detection from graph data is an important data mining task in many applications such as social networks, finance, and e-commerce. Existing efforts in graph anomaly detection typically only consider the information in a single scale…

Machine Learning · Computer Science 2024-08-02 Yu Zheng , Ming Jin , Yixin Liu , Lianhua Chi , Khoa T. Phan , Yi-Ping Phoebe Chen

Anomaly detection is an essential task in the analysis of dynamic networks, offering early warnings of abnormal behavior. We present a principled approach to detect anomalies in dynamic networks that integrates community structure as a…

Social and Information Networks · Computer Science 2024-11-28 Hadiseh Safdari , Caterina De Bacco

Uncovering anomalies in attributed networks has recently gained popularity due to its importance in unveiling outliers and flagging adversarial behavior in a gamut of data and network science applications including {the Internet of Things…

Social and Information Networks · Computer Science 2021-04-20 Konstantinos D. Polyzos , Costas Mavromatis , Vassilis N. Ioannidis , Georgios B. Giannakis

Anomaly detection is a fundamental problem in data mining field with many real-world applications. A vast majority of existing anomaly detection methods predominately focused on data collected from a single source. In real-world…

Machine Learning · Computer Science 2019-08-13 Yuening Li , Ninghao Liu , Jundong Li , Mengnan Du , Xia Hu

This paper introduces advanced techniques of Topological Data Analysis (TDA) for unsupervised anomaly detection and customer segmentation in banking data. Using the Mapper algorithm and persistent homology, we develop unsupervised…

Machine Learning · Computer Science 2025-08-21 Leonardo Aldo Alejandro Barberi , Linda Maria De Cave

In this paper we focus on the detection of network anomalies like Denial of Service (DoS) attacks and port scans in a unified manner. While there has been an extensive amount of research in network anomaly detection, current state of the…

Machine Learning · Computer Science 2014-03-04 Tahereh Babaie , Sanjay Chawla , Sebastien Ardon

This paper is motivated by the task of detecting anomalies in networks of financial transactions, with accounts as nodes and a directed weighted edge between two nodes denoting a money transfer. The weight of the edge is the transaction…

Applications · Statistics 2019-05-28 Andrew Elliott , Mihai Cucuringu , Milton Martinez Luaces , Paul Reidy , Gesine Reinert

Anomaly detection in complex dynamical systems is essential for ensuring reliability, safety, and efficiency in industrial and cyber-physical infrastructures. Predictive maintenance helps prevent costly failures, while cybersecurity…

Machine Learning · Computer Science 2025-09-25 Michael Somma , Thomas Gallien , Branka Stojanovic

Graphs are used widely to model complex systems, and detecting anomalies in a graph is an important task in the analysis of complex systems. Graph anomalies are patterns in a graph that do not conform to normal patterns expected of the…

Machine Learning · Computer Science 2022-10-05 Hwan Kim , Byung Suk Lee , Won-Yong Shin , Sungsu Lim

In this paper, we propose a method that extends the persistence-based topological data analysis (TDA) that is typically used for characterizing shapes to general networks. We introduce the concept of the community tree, a tree structure…

Social and Information Networks · Computer Science 2022-04-08 Wei Guo , Ruqian Chen , Yen-Chi Chen , Ashis G. Banerjee