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In this position paper, we argue that when hypergraphs are used to capture multi-way local relations of data, their resulting topological features describe global behaviour. Consequently, these features capture complex correlations that can…

In order to understand the overall picture of cyber attacks and to identify the source of cyber attacks, a method to identify malicious activities by automatically creating a graph that ties together the dependencies of a series of related…

Cryptography and Security · Computer Science 2025-03-26 Taishin Saito

Anomaly detection in event logs is a promising approach for intrusion detection in enterprise networks. By building a statistical model of usual activity, it aims to detect multiple kinds of malicious behavior, including stealthy tactics,…

Cryptography and Security · Computer Science 2022-06-29 Corentin Larroche , Johan Mazel , Stephan Clémençon

A cyber-attack is a malicious attempt by experienced hackers to breach the target information system. Usually, the cyber-attacks are characterized as hybrid TTPs (Tactics, Techniques, and Procedures) and long-term adversarial behaviors,…

Cryptography and Security · Computer Science 2021-12-17 Mingqi Lv , Chengyu Dong , Tieming Chen , Tiantian Zhu , Qijie Song , Yuan Fan

In Advanced Persistent Threat (APT) attacks, achieving stealthy persistence within target systems is often crucial for an attacker's success. This persistence allows adversaries to maintain prolonged access, often evading detection…

Cryptography and Security · Computer Science 2026-05-14 Qi Liu , Muhammad Shoaib , Mati Ur Rehman , Kaibin Bao , Veit Hagenmeyer , Wajih Ul Hassan

Data breaches and ransomware attacks occur so often that they have become part of our daily news cycle. This is due to a myriad of factors, including the increasing number of internet-of-things devices, shift to remote work during the…

In cybersecurity it is often the case that malicious or anomalous activity can only be detected by combining many weak indicators of compromise, any one of which may not raise suspicion when taken alone. The path that such indicators take…

Cryptography and Security · Computer Science 2022-02-17 Thomas Davies

Zigzag persistent homology is a powerful generalisation of persistent homology that allows one not only to compute persistence diagrams with less noise and using less memory, but also to use persistence in new fields of application.…

Computational Geometry · Computer Science 2016-08-23 Clément Maria , Steve Oudot

We use topological data analysis to study neural population activity in the Sensorium 2023 dataset, which records responses from thousands of mouse visual cortex neurons to diverse video stimuli. For each video, we build frame-by-frame…

Algebraic Topology · Mathematics 2026-03-04 Yuri Gardinazzi , Alessio Ansuini , Eugenio Piasini , Fabio Anselmi , Matteo Biagetti

Temporal graphs are commonly used to represent complex systems and track the evolution of their constituents over time. Visualizing these graphs is crucial as it allows one to quickly identify anomalies, trends, patterns, and other…

Human-Computer Interaction · Computer Science 2025-02-24 Raphaël Tinarrage , Jean R. Ponciano , Claudio D. G. Linhares , Agma J. M. Traina , Jorge Poco

This work presents a framework for studying temporal networks using zigzag persistence, a tool from the field of Topological Data Analysis (TDA). The resulting approach is general and applicable to a wide variety of time-varying graphs. For…

Computational Geometry · Computer Science 2023-08-15 Audun Myers , David Muñoz , Firas Khasawneh , Elizabeth Munch

While attack graphs are useful for identifying major cybersecurity threats affecting a system, they do not provide operational support for determining the likelihood of having a known vulnerability exploited, or that critical system nodes…

Cryptography and Security · Computer Science 2026-04-21 Francesco Vitale , Simone Guarino , Stefano Perone , Massimiliano Rak , Nicola Mazzocca

Nowadays, information and communications technology systems are fundamental assets of our social and economical model, and thus they should be properly protected against the malicious activity of cybercriminals. Defence mechanisms are…

Cryptography and Security · Computer Science 2019-08-02 Gonzalo de la Torre-Abaitua , Luis F. Lago-Fernández , David Arroyo

Modern cyber attackers use advanced zero-day exploits, highly targeted spear phishing, and other social engineering techniques to gain access and also use evasion techniques to maintain a prolonged presence within the victim network while…

Cryptography and Security · Computer Science 2023-10-03 Bibek Bhattarai , H. Howie Huang

The theory of zigzag persistence is a substantial extension of persistent homology, and its development has enabled the investigation of several unexplored avenues in the area of topological data analysis. In this paper, we discuss three…

Computational Geometry · Computer Science 2011-08-18 Andrew Tausz , Gunnar Carlsson

Malicious web content is a serious problem on the Internet today. In this paper we propose a deep learning approach to detecting malevolent web pages. While past work on web content detection has relied on syntactic parsing or on emulation…

Cryptography and Security · Computer Science 2018-04-16 Joshua Saxe , Richard Harang , Cody Wild , Hillary Sanders

We describe a new methodology for studying persistence of topological features across a family of spaces or point-cloud data sets, called zigzag persistence. Building on classical results about quiver representations, zigzag persistence…

Computational Geometry · Computer Science 2008-12-02 Gunnar Carlsson , Vin de Silva

The rapid evolution of cyber threats has outpaced traditional detection methodologies, necessitating innovative approaches capable of addressing the adaptive and complex behaviors of modern adversaries. A novel framework was introduced,…

Cryptography and Security · Computer Science 2025-08-11 Ignatius Rollere , Caspian Hartsfield , Seraphina Courtenay , Lucian Fenwick , Aurelia Grunwald

Cybersecurity systems are continuously producing a huge number of time-stamped events in the form of high-order tensors, such as {count; time, port, flow duration, packet size, . . . }, and so how can we detect anomalies/intrusions in real…

Machine Learning · Computer Science 2025-03-04 Kota Nakamura , Koki Kawabata , Shungo Tanaka , Yasuko Matsubara , Yasushi Sakurai

In this paper, we propose Quasi Zigzag Persistent Homology (QZPH) as a framework for analyzing time-varying data by integrating multiparameter persistence and zigzag persistence. To this end, we introduce a stable topological invariant that…

Machine Learning · Computer Science 2026-01-21 Tamal K. Dey , Shreyas N. Samaga
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