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Unsupervised anomaly detection aims to detect defective parts of a sample by having access, during training, to a set of normal, i.e. defect-free, data. It has many applications in fields, such as industrial inspection or medical imaging,…

Image and Video Processing · Electrical Eng. & Systems 2025-09-03 Robin Trombetta , Carole Lartizien

Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data. Research in this…

Algebraic Topology · Mathematics 2022-04-15 R. W. R. Darling , John A. Emanuello , Emilie Purvine , Ahmad Ridley

Robust topological information commonly comes in the form of a set of persistence diagrams, finite measures that are in nature uneasy to affix to generic machine learning frameworks. We introduce a fast, learnt, unsupervised vectorization…

Computational Geometry · Computer Science 2020-10-16 Martin Royer , Frédéric Chazal , Clément Levrard , Umeda Yuhei , Ike Yuichi

Anomaly detection (AD) plays a pivotal role in numerous web-based applications, including malware detection, anti-money laundering, device failure detection, and network fault analysis. Most methods, which rely on unsupervised learning, are…

Machine Learning · Computer Science 2024-02-07 Haihong Zhao , Chenyi Zi , Yang Liu , Chen Zhang , Yan Zhou , Jia Li

The largest strength of contention-based MAC protocols is simultaneously the largest weakness of their scheduled counterparts: the ability to adapt to changes in network conditions. For scheduling to be competitive in mobile wireless…

Networking and Internet Architecture · Computer Science 2016-11-17 Jonathan Lutz , Charles J. Colbourn , Violet R. Syrotiuk

Graph anomaly detection is crucial for identifying nodes that deviate from regular behavior within graphs, benefiting various domains such as fraud detection and social network. Although existing reconstruction-based methods have achieved…

Machine Learning · Computer Science 2023-12-25 Junwei He , Qianqian Xu , Yangbangyan Jiang , Zitai Wang , Qingming Huang

Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

Time series anomaly detection plays a vital role in a wide range of applications. Existing methods require training one specific model for each dataset, which exhibits limited generalization capability across different target datasets,…

Machine Learning · Computer Science 2025-03-04 Qichao Shentu , Beibu Li , Kai Zhao , Yang Shu , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo

Topological Data Analysis (TDA), an emerging field in investment sciences, harnesses mathematical methods to extract data features based on shape, offering a promising alternative to classical portfolio selection methodologies. We utilize…

Portfolio Management · Quantitative Finance 2026-01-08 Anubha Goel , Amita Sharma , Juho Kanniainen

Topological Data Analysis (TDA) has been successfully used for various tasks in signal/image processing, from visualization to supervised/unsupervised classification. Often, topological characteristics are obtained from persistent homology…

Sound · Computer Science 2023-10-11 Guillem Bonafos , Jean-Marc Freyermuth , Pierre Pudlo , Samuel Tronçon , Arnaud Rey

How can we design neural networks that allow for stable universal approximation of maps between topologically interesting manifolds? The answer is with a coordinate projection. Neural networks based on topological data analysis (TDA) use…

Machine Learning · Computer Science 2022-10-04 Michael Puthawala , Matti Lassas , Ivan Dokmanic , Pekka Pankka , Maarten de Hoop

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing…

Methodology · Statistics 2017-12-27 Chul Moon , Noah Giansiracusa , Nicole A. Lazar

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL).…

Biomolecules · Quantitative Biology 2025-09-23 JunJie Wee , Jian Jiang

A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments, correlation functions) and signal processing (e.g.,…

Algebraic Topology · Mathematics 2020-11-11 Alexander D. Smith , Pawel Dlotko , Victor M. Zavala

Deep perception models have to reliably cope with an open-world setting of domain shifts induced by different geographic regions, sensor properties, mounting positions, and several other reasons. Since covering all domains with annotated…

Computer Vision and Pattern Recognition · Computer Science 2023-09-18 Awet Haileslassie Gebrehiwot , David Hurych , Karel Zimmermann , Patrick Pérez , Tomáš Svoboda

Detecting rare and diverse anomalies in highly imbalanced datasets-such as Advanced Persistent Threats (APTs) in cybersecurity-remains a fundamental challenge for machine learning systems. Active learning offers a promising direction by…

Machine Learning · Computer Science 2026-02-04 Sidahmed Benabderrahmane , Petko Valtchev , James Cheney , Talal Rahwan

We present a neural framework for learning conditional optimal transport (OT) maps between probability distributions. Our approach introduces a conditioning mechanism capable of processing both categorical and continuous conditioning…

Machine Learning · Computer Science 2026-04-02 Carlos Rodriguez-Pardo , Leonardo Chiani , Emanuele Borgonovo , Massimo Tavoni

This study proposes an anomaly detection method based on the Transformer architecture with integrated multiscale feature perception, aiming to address the limitations of temporal modeling and scale-aware feature representation in cloud…

Machine Learning · Computer Science 2025-08-26 Lian Lian , Yilin Li , Song Han , Renzi Meng , Sibo Wang , Ming Wang

Topological Data Analysis (TDA) is a novel, and relatively new approach to analysing high-dimensional data sets. It does this by focussing on global properties like the shape and connectivity of the data giving it a significant advantage…

Instrumentation and Methods for Astrophysics · Physics 2019-04-26 Jeff Murugan , Duncan Robertson

Given the inevitability of domain shifts during inference in real-world applications, test-time adaptation (TTA) is essential for model adaptation after deployment. However, the real-world scenario of continuously changing target…

Machine Learning · Computer Science 2023-11-28 Junyoung Park , Jin Kim , Hyeongjun Kwon , Ilhoon Yoon , Kwanghoon Sohn