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Anomaly detection is a method for discovering unusual and suspicious behavior. In many real-world scenarios, the examined events can be directly linked to the actions of an adversary, such as attacks on computer networks or frauds in…

Machine Learning · Computer Science 2020-04-23 Olga Petrova , Karel Durkota , Galina Alperovich , Karel Horak , Michal Najman , Branislav Bosansky , Viliam Lisy

With the widely used smart meters in the energy sector, anomaly detection becomes a crucial mean to study the unusual consumption behaviors of customers, and to discover unexpected events of using energy promptly. Detecting consumption…

Databases · Computer Science 2016-06-21 Xiufeng Liu , Per Sieverts Nielsen

We develop graph-based methods for semi-supervised learning based on label propagation on a data similarity graph. When data is abundant or arrive in a stream, the problems of computation and data storage arise for any graph-based method.…

Machine Learning · Computer Science 2026-05-06 Michal Valko

Anomaly detection is facing with emerging challenges in many important industry domains, such as cyber security and online recommendation and advertising. The recent trend in these areas calls for anomaly detection on time-evolving data…

Machine Learning · Computer Science 2019-07-16 Zheng Gao , Lin Guo , Chi Ma , Xiao Ma , Kai Sun , Hang Xiang , Xiaoqiang Zhu , Hongsong Li , Xiaozhong Liu

Strong regulations in the financial industry mean that any decisions based on machine learning need to be explained. This precludes the use of powerful supervised techniques such as neural networks. In this study we propose a new…

Machine Learning · Computer Science 2018-11-28 Kyle Brown , Derek Doran , Ryan Kramer , Brad Reynolds

Topological data analysis is a powerful framework for extracting useful topological information from complex datasets. Recent work has shown its application for the dynamical analysis of classical dissipative systems through a…

Quantum Physics · Physics 2023-04-26 Harvey Cao , Daniel Leykam , Dimitris G. Angelakis

Graph-level anomaly detection has become a critical topic in diverse areas, such as financial fraud detection and detecting anomalous activities in social networks. While most research has focused on anomaly detection for visual data such…

Machine Learning · Computer Science 2022-08-05 Chen Qiu , Marius Kloft , Stephan Mandt , Maja Rudolph

Topological Data Analysis (TDA) refers to an approach that uses concepts from algebraic topology to study the "shapes" of datasets. The main focus of this paper is persistent homology, a ubiquitous tool in TDA. Basing our study on this, we…

Probability · Mathematics 2016-04-15 Takashi Owada

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

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust and interpretable features from noisy high-dimensional data. In the context of Social Choice Theory, where preference profiles and collective…

Algebraic Topology · Mathematics 2025-07-22 Athanasios Andrikopoulos , Nikolaos Sampanis

Unsupervised anomaly detection (UAD) plays an important role in modern data analytics and it is crucial to provide simple yet effective and guaranteed UAD algorithms for real applications. In this paper, we present a novel UAD method for…

Machine Learning · Computer Science 2024-12-17 Wei Dai , Kai Hwang , Jicong Fan

Graph Anomaly Detection (GAD) aims to identify atypical graph entities, such as nodes, edges, or substructures, that deviate significantly from the majority. While existing text-rich approaches typically integrate structural context into…

Computation and Language · Computer Science 2026-05-20 Wen Shi , Zhe Wang , Huafei Huang , Qing Qing , Ziqi Xu , Qixin Zhang , Xikun Zhang , Renqiang Luo , Feng Xia

Detecting structural instability and anomalies in high-dimensional financial time series is challenging due to complex temporal dependence and evolving cross-sectional structure. We propose ReGEN-TAD, an interpretable generative framework…

Machine Learning · Statistics 2026-03-10 Waldyn G Martinez

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

Machine Learning · Statistics 2019-10-28 Umar Islambekov , Yulia Gel

Anomaly detection is crucial for understanding unusual behaviors in data, as anomalies offer valuable insights. This paper introduces Dependency-based Anomaly Detection (DepAD), a general framework that utilizes variable dependencies to…

Machine Learning · Computer Science 2024-04-18 Sha Lu , Lin Liu , Kui Yu , Thuc Duy Le , Jixue Liu , Jiuyong Li

Bearing fault detection is a critical task in predictive maintenance, where accurate and timely fault identification can prevent costly downtime and equipment damage. Traditional attention mechanisms in Transformer neural networks often…

Machine Learning · Computer Science 2024-12-17 Marzieh Mirzaeibonehkhater , Mohammad Ali Labbaf-Khaniki , Mohammad Manthouri

Pulmonary Embolism (PE) is a common and potentially lethal condition. Most patients die within the first few hours from the event. Despite diagnostic advances, delays and underdiagnosis in PE are common.To increase the diagnostic…

Understanding the topological characteristics of data is important to many areas of research. Recent work has demonstrated that synthetic 4D image-type data can be useful to train 4D convolutional neural network models to see topological…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Khalil Mathieu Hannouch , Stephan Chalup

The core challenge in unsupervised anomaly detection is identifying abnormal patterns without prior knowledge of their characteristics. While existing methods have addressed aspects of this problem, they often struggle to learn a robust…

Machine Learning · Computer Science 2026-05-12 Prithul Sarker , Sushmita Sarker , Nicholas G. Murray , Alireza Tavakkoli

Unsupervised Data Augmentation (UDA) is a semi-supervised technique that applies a consistency loss to penalize differences between a model's predictions on (a) observed (unlabeled) examples; and (b) corresponding 'noised' examples produced…

Computation and Language · Computer Science 2020-10-26 David Lowell , Brian E. Howard , Zachary C. Lipton , Byron C. Wallace
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