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Under the banner of `Big Data', the detection and classification of structure in extremely large, high dimensional, data sets, is, one of the central statistical challenges of our times. Among the most intriguing approaches to this…

Methodology · Statistics 2022-06-08 Robert J. Adler , Sarit Agami , Pratyush Pranav

Malware detection has become a major concern due to the increasing number and complexity of malware. Traditional detection methods based on signatures and heuristics are used for malware detection, but unfortunately, they suffer from poor…

Cryptography and Security · Computer Science 2023-08-21 Tristan Bilot , Nour El Madhoun , Khaldoun Al Agha , Anis Zouaoui

Behavior of a malware varies with respect to malware types. Therefore,knowing type of a malware affects strategies of system protection softwares. Many malware type classification models empowered by machine and deep learning achieve…

Cryptography and Security · Computer Science 2020-08-25 Aykut Çayır , Uğur Ünal , Hasan Dağ

Analysing malware is important to understand how malicious software works and to develop appropriate detection and prevention methods. Dynamic analysis can overcome evasion techniques commonly used to bypass static analysis and provide…

Cryptography and Security · Computer Science 2023-10-30 Baskoro Adi Pratomo , Toby Jackson , Pete Burnap , Andrew Hood , Eirini Anthi

Malware family labels are known to be inconsistent. They are also black-box since they do not represent the capabilities of malware. The current state-of-the-art in malware capability assessment include mostly manual approaches, which are…

Cryptography and Security · Computer Science 2021-01-01 Azqa Nadeem , Christian Hammerschmidt , Carlos H. Gañán , Sicco Verwer

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

Machine Learning · Computer Science 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA has been widely and successfully applied across various…

Machine Learning · Computer Science 2024-07-29 Martin Uray , Barbara Giunti , Michael Kerber , Stefan Huber

Topological data analysis (TDA) uses persistent homology to quantify loops and higher-dimensional holes in data, making it particularly relevant for examining the characteristics of images of cells in the field of cell biology. In the…

Methodology · Statistics 2024-05-06 Susan Glenn , Jessi Cisewski-Kehe , Jun Zhu , William M. Bement

The Mapper algorithm, a technique within topological data analysis (TDA), constructs a simplified graphical representation of high-dimensional data to uncover its underlying shape and structural patterns. The algorithm has attracted…

General Topology · Mathematics 2025-04-15 Vine Nwabuisi Madukpe , Bright Chukwuma Ugoala , Nur Fariha Syaqina Zulkepli

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in complex datasets. The main workhorse is persistent homology,…

History and Overview · Mathematics 2025-07-29 Zhe Su , Xiang Liu , Layal Bou Hamdan , Vasileios Maroulas , Jie Wu , Gunnar Carlsson , Guo-Wei Wei

Identifying the tasks a given piece of malware was designed to perform (e.g. logging keystrokes, recording video, establishing remote access, etc.) is a difficult and time-consuming operation that is largely human-driven in practice. In…

Cryptography and Security · Computer Science 2015-07-08 Eric Nunes , Casey Buto , Paulo Shakarian , Christian Lebiere , Stefano Bennati , Robert Thomson , Holger Jaenisch

The number of malicious software (malware) is growing out of control. Syntactic signature based detection cannot cope with such growth and manual construction of malware signature databases needs to be replaced by computer learning based…

Cryptography and Security · Computer Science 2013-12-18 Hugo Daniel Macedo , Tayssir Touili

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

Chaotic Dynamics · Physics 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

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

Portfolio management is essential for any investment decision. Yet, traditional methods in the literature are ill-suited for the characteristics and dynamics of cryptocurrencies. This work presents a method to build an investment portfolio…

Portfolio Management · Quantitative Finance 2020-09-09 Rodrigo Rivera-Castro , Polina Pilyugina , Evgeny Burnaev

Over past years, the manually methods to create detection rules were no longer practical in the anti-malware product since the number of malware threats has been growing. Thus, the turn to the machine learning approaches is a promising way…

Cryptography and Security · Computer Science 2022-05-02 Khanh Huu The Dam , Charles-Henry Bertrand Van Ouytsel , Axel Legay

Millions of new pieces of malicious software (i.e., malware) are introduced each year. This poses significant challenges for antivirus vendors, who use machine learning to detect and analyze malware, and must keep up with changes in the…

Cryptography and Security · Computer Science 2025-09-19 Mohammad Saidur Rahman , Scott Coull , Qi Yu , Matthew Wright

Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

Machine Learning · Computer Science 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov

In this paper we present an elaborated graph-based algorithmic technique for efficient malware detection. More precisely, we utilize the system-call dependency graphs (or, for short ScD graphs), obtained by capturing taint analysis traces…

Cryptography and Security · Computer Science 2014-12-31 Stavros D. Nikolopoulos , Iosif Polenakis