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This paper proposes a new method for anomaly detection in time-series data by incorporating the concept of difference subspace into the singular spectrum analysis (SSA). The key idea is to monitor slight temporal variations of the…

Machine Learning · Computer Science 2023-04-06 Takumi Kanai , Naoya Sogi , Atsuto Maki , Kazuhiro Fukui

A strategy to assist visualization and analysis of large and complex data sets is dimensionality reduction, with which one maps each data point into a low-dimensional manifold. However, various dimensionality reduction techniques are…

Physics and Society · Physics 2024-10-21 Chanon Thongprayoon , Naoki Masuda

The introduction of more renewable energy sources into the energy system increases the variability and weather dependence of electricity generation. Power system simulations are used to assess the adequacy and reliability of the electricity…

Physics and Society · Physics 2024-02-02 Laurens P. Stoop , Erik Duijm , Ad J. Feelders , Machteld van den Broek

Time series modeling has attracted extensive research efforts; however, achieving both reliable efficiency and interpretability from a unified model still remains a challenging problem. Among the literature, shapelets offer interpretable…

Machine Learning · Computer Science 2020-12-01 Ziqiang Cheng , Yang Yang , Wei Wang , Wenjie Hu , Yueting Zhuang , Guojie Song

Outlier hypothesis testing is studied in a universal setting. Multiple sequences of observations are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are distributed…

Information Theory · Computer Science 2014-04-02 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

In statistics and machine learning, the traditional meaning of the terms `outlier' and `anomaly' is a case in the dataset that behaves differently from the bulk of the data. This raises suspicion that it may belong to a different…

Methodology · Statistics 2026-04-17 Mia Hubert , Jakob Raymaekers , Peter J. Rousseeuw

Detecting test-time distribution shift has emerged as a key capability for safely deployed machine learning models, with the question being tackled under various guises in recent years. In this paper, we aim to provide a consolidated view…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Hongjun Wang , Sagar Vaze , Kai Han

Anomaly detection focuses on identifying samples that deviate from the norm. Discovering informative representations of normal samples is crucial to detecting anomalies effectively. Recent self-supervised methods have successfully learned…

Machine Learning · Computer Science 2025-09-22 Alain Ryser , Thomas M. Sutter , Alexander Marx , Julia E. Vogt

On-line detection of anomalies in time series is a key technique used in various event-sensitive scenarios such as robotic system monitoring, smart sensor networks and data center security. However, the increasing diversity of data sources…

Machine Learning · Computer Science 2021-04-26 Wentai Wu , Ligang He , Weiwei Lin , Yi Su , Yuhua Cui , Carsten Maple , Stephen Jarvis

We consider the frequency estimation of periodic signals using noisy time-of-arrival (TOA) information with missing (sparse) data contaminated with outliers. We tackle the problem from a mathematical optimization standpoint, formulating it…

Optimization and Control · Mathematics 2024-09-04 Romain Puech , Vincent Gouldieff

Studies of kinematics and geometry of outflowing gas rely on modeling features in integrated spectra using empirical quantiles or fitting multiple Gaussian or Voigt profiles. Such methods can miss key underlying physics and even lead to…

Astrophysics of Galaxies · Physics 2026-03-23 Sophia R. Flury

Benchmarking unsupervised outlier detection is difficult. Outliers are rare, and existing benchmark data contains outliers with various and unknown characteristics. Fully synthetic data usually consists of outliers and regular instance with…

Machine Learning · Computer Science 2021-05-07 Georg Steinbuss , Klemens Böhm

Given an unlabeled dataset, wherein we have access only to pairwise similarities (or distances), how can we effectively (1) detect outliers, and (2) annotate/tag the outliers by type? Outlier detection has a large literature, yet we find a…

Machine Learning · Computer Science 2021-10-19 Guilherme D. F. Silva , Leman Akoglu , Robson L. F. Cordeiro

We propose a hybrid approach to temporal anomaly detection in access data of users to databases --- or more generally, any kind of subject-object co-occurrence data. We consider a high-dimensional setting that also requires fast computation…

Cryptography and Security · Computer Science 2019-08-13 Eyal Gutflaish , Aryeh Kontorovich , Sivan Sabato , Ofer Biller , Oded Sofer

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

Methodology · Statistics 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

Network data has emerged as an active research area in statistics. Much of the focus of ongoing research has been on static networks that represent a single snapshot or aggregated historical data unchanging over time. However, most networks…

Applications · Statistics 2021-02-23 Lata Kodali , Srijan Sengupta , Leanna House , William H. Woodall

Most time series observed in practice exhibit time-varying trend (first-order) and autocovariance (second-order) behaviour. Differencing is a commonly-used technique to remove the trend in such series, in order to estimate the time-varying…

Methodology · Statistics 2022-09-07 Euan T. McGonigle , Rebecca Killick , Matthew A. Nunes

We present a monitoring approach for verifying systems at runtime. Our approach targets systems whose components communicate with the monitors over unreliable channels, where messages can be delayed or lost. In contrast to prior works,…

Logic in Computer Science · Computer Science 2017-07-19 David Basin , Felix Klaedtke , Eugen Zălinescu

Decomposing complex time series into trend, seasonality, and remainder components is an important task to facilitate time series anomaly detection and forecasting. Although numerous methods have been proposed, there are still many time…

Machine Learning · Computer Science 2018-12-06 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Huan Xu , Shenghuo Zhu

We introduce and develop a novel approach to outlier detection based on adaptation of random subspace learning. Our proposed method handles both high-dimension low-sample size and traditional low-dimensional high-sample size datasets.…

Machine Learning · Statistics 2015-05-05 Bohan Liu , Ernest Fokoue