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We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Many real-world time series, such as in health, have changepoints where the system's structure or parameters change. Since changepoints can indicate critical events such as onset of illness, it is highly important to detect them. However,…

Machine Learning · Computer Science 2019-05-17 Zahra Ebrahimzadeh , Min Zheng , Selcuk Karakas , Samantha Kleinberg

Current large-scale astrophysical experiments produce unprecedented amounts of rich and diverse data. This creates a growing need for fast and flexible automated data inspection methods. Deep learning algorithms can capture and pick up…

Instrumentation and Methods for Astrophysics · Physics 2023-08-03 Vanessa Böhm , Alex G. Kim , Stéphanie Juneau

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

In this paper, we propose a new variant of Linear Discriminant Analysis (LDA) to solve multi-label classification tasks. The proposed method is based on a probabilistic model for defining the weights of individual samples in a weighted…

Machine Learning · Computer Science 2020-04-10 Lei Xu , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

Anomaly detection aims to find instances that are considered unusual and is a fundamental problem of data science. Recently, deep anomaly detection methods were shown to achieve superior results particularly in complex data such as images.…

Machine Learning · Computer Science 2021-01-01 Hongjing Zhang , Ian Davidson

The ongoing challenges in time series anomaly detection (TSAD), notably the scarcity of anomaly labels and the variability in anomaly lengths and shapes, have led to the need for a more efficient solution. As limited anomaly labels hinder…

Machine Learning · Computer Science 2023-11-28 Yuting Sun , Guansong Pang , Guanhua Ye , Tong Chen , Xia Hu , Hongzhi Yin

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

Linear discriminant analysis (LDA) is a popular technique to learn the most discriminative features for multi-class classification. A vast majority of existing LDA algorithms are prone to be dominated by the class with very large deviation…

Machine Learning · Computer Science 2020-09-28 Caixia Yan , Xiaojun Chang , Minnan Luo , Qinghua Zheng , Xiaoqin Zhang , Zhihui Li , Feiping Nie

We apply several machine learning algorithms to the problem of anomaly detection in operational data for large-scale, high-voltage electric power grids. We observe important differences in the performance of the algorithms. Neural networks…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Marc Gillioz , Guillaume Dubuis , Étienne Voutaz , Philippe Jacquod

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

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

Graph anomaly detection (GAD) is a vital task in graph-based machine learning and has been widely applied in many real-world applications. The primary goal of GAD is to capture anomalous nodes from graph datasets, which evidently deviate…

Machine Learning · Computer Science 2022-12-05 Jingcan Duan , Siwei Wang , Pei Zhang , En Zhu , Jingtao Hu , Hu Jin , Yue Liu , Zhibin Dong

Anomaly detection (AD) plays a pivotal role in multimedia applications for detecting defective products and automating quality inspection. Deep learning (DL) models typically require large-scale annotated data, which are often highly…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Eirini Cholopoulou , Dimitris K. Iakovidis

This letter proposes a multiple parametric dictionary learning algorithm for direction of arrival (DOA) estimation in presence of array gain-phase error and mutual coupling. It jointly solves both the DOA estimation and array imperfection…

Machine Learning · Computer Science 2017-07-25 H. Ghanbari , H. Zayyani , E. Yazdian

We consider multi-class classification problems for high dimensional data. Following the idea of reduced-rank linear discriminant analysis (LDA), we introduce a new dimension reduction tool with a flavor of supervised principal component…

Methodology · Statistics 2017-03-28 Yue Selena Niu , Ning Hao , Bin Dong

In order to detect unknown intrusions and runtime errors of computer programs, the cyber-security community has developed various detection techniques. Anomaly detection is an approach that is designed to profile the normal runtime behavior…

Cryptography and Security · Computer Science 2021-06-03 Byunggu Yu , Junwhan Kim

One of the contemporary challenges in anomaly detection is the ability to detect, and differentiate between, both point and collective anomalies within a data sequence or time series. The anomaly package has been developed to provide users…

Applications · Statistics 2024-01-30 Alex Fisch , Daniel Grose , Idris A. Eckley , Paul Fearnhead , Lawrence Bardwell

Anomaly detection (AD) is a crucial machine learning task that aims to learn patterns from a set of normal training samples to identify abnormal samples in test data. Most existing AD studies assume that the training and test data are drawn…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Tri Cao , Jiawen Zhu , Guansong Pang

Today's cyber-world is vastly multivariate. Metrics collected at extreme varieties demand multivariate algorithms to properly detect anomalies. However, forecast-based algorithms, as widely proven approaches, often perform sub-optimally or…

Machine Learning · Computer Science 2022-01-14 Lan Wang , Yusan Lin , Yuhang Wu , Huiyuan Chen , Fei Wang , Hao Yang
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