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Consider two stationary time series with heavy-tailed marginal distributions. We aim to detect whether they have a causal relation, that is, if a change in one causes a change in the other. Usual methods for causal discovery are not well…

统计理论 · 数学 2023-11-20 Juraj Bodik , Zbyněk Pawlas , Milan Paluš

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…

应用统计 · 统计学 2021-02-23 Lata Kodali , Srijan Sengupta , Leanna House , William H. Woodall

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

统计方法学 · 统计学 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a time series provides important insights into the properties of…

统计理论 · 数学 2025-02-06 Annika Betken , Giorgio Micali , Johannes Schmidt-Hieber

Anomaly detection is the process of identifying abnormal instances or events in data sets which deviate from the norm significantly. In this study, we propose a signatures based machine learning algorithm to detect rare or unexpected items…

计算金融 · 定量金融 2022-02-09 Erdinc Akyildirim , Matteo Gambara , Josef Teichmann , Syang Zhou

Log data store event execution patterns that correspond to underlying workflows of systems or applications. While most logs are informative, log data also include artifacts that indicate failures or incidents. Accordingly, log data are…

机器学习 · 计算机科学 2024-09-06 Max Landauer , Florian Skopik , Markus Wurzenberger

This paper considers the quickest search problem to identify anomalies among large numbers of data streams. These streams can model, for example, disjoint regions monitored by a mobile robot. A particular challenge is a version of the…

最优化与控制 · 数学 2023-03-20 Matthew Ubl , Benjamin D. Robinson , Matthew T. Hale

We study the propagation of outliers in cyclic causal graphs with linear structural equations, tracing them back to one or several "root cause" nodes. We show that it is possible to identify a short list of potential root causes provided…

机器学习 · 统计学 2025-10-09 Daniela Schkoda , Dominik Janzing

Deep generative models for anomaly detection in multivariate time-series are typically trained by maximizing data likelihood. However, likelihood in observation space measures marginal density rather than conformity to structured temporal…

人工智能 · 计算机科学 2026-03-13 David Baumgartner , Eliezer de Souza da Silva , Iñigo Urteaga

Sociotechnological and geospatial processes exhibit time varying structure that make insight discovery challenging. To detect abnormal moments in these processes, a definition of `normal' must be established. This paper proposes a new…

社会与信息网络 · 计算机科学 2017-12-15 Jace Robinson , Derek Doran

Identifying the underlying reason for a failing dynamic process or otherwise anomalous observation is a fundamental challenge, yet has numerous industrial applications. Identifying the failure-causing sub-system using causal inference, one…

机器学习 · 计算机科学 2024-06-13 Juliane Weilbach , Sebastian Gerwinn , Karim Barsim , Martin Fränzle

Subsequence anomaly detection in long sequences is an important problem with applications in a wide range of domains. However, the approaches proposed so far in the literature have severe limitations: they either require prior domain…

机器学习 · 计算机科学 2022-07-26 Paul Boniol , Themis Palpanas

A central use case for the Internet of Things (IoT) is the adoption of sensors to monitor physical processes, such as the environment and industrial manufacturing processes, where they provide data for predictive maintenance, anomaly…

信息论 · 计算机科学 2021-10-13 Anders E. Kalør , Daniel Michelsanti , Federico Chiariotti , Zheng-Hua Tan , Petar Popovski

In high-stakes systems such as healthcare, it is critical to understand the causal reasons behind unusual events, such as sudden changes in patient's health. Unveiling the causal reasons helps with quick diagnoses and precise treatment…

机器学习 · 计算机科学 2024-03-20 Yiling Kuang , Chao Yang , Yang Yang , Shuang Li

Automatic anomaly detection is a major issue in various areas. Beyond mere detection, the identification of the source of the problem that produced the anomaly is also essential. This is particularly the case in aircraft engine health…

机器学习 · 统计学 2016-08-10 Tsirizo Rabenoro , Jérôme Lacaille , Marie Cottrell , Fabrice Rossi

Time-series anomaly detection is a popular topic in both academia and industrial fields. Many companies need to monitor thousands of temporal signals for their applications and services and require instant feedback and alerts for potential…

机器学习 · 计算机科学 2020-09-10 Yuanxiang Ying , Juanyong Duan , Chunlei Wang , Yujing Wang , Congrui Huang , Bixiong Xu

We study the problem of coincidence detection in time series data, where we aim to determine whether the appearance of simultaneous or near-simultaneous events in two time series is indicative of some shared underlying signal or…

统计理论 · 数学 2026-01-21 Ruiting Liang , Samuel Dyson , Rina Foygel Barber , Daniel E. Holz

Anomaly detection is a branch of data analysis and machine learning which aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

机器学习 · 统计学 2024-07-11 Pavlo Mozharovskyi , Romain Valla

$Anomaly$ $detection$ problems (also called $change$-$point$ $detection$ problems) have been studied in data mining, statistics and computer science over the last several decades in applications such as medical condition monitoring and…

数据结构与算法 · 计算机科学 2019-12-23 Bhaskar DasGupta , Mano Vikash Janardhanan , Farzane Yahyanejad

Change point detection in time series aims to identify moments when the probability distribution of time series changes. It is widely applied in many areas, such as human activity sensing and medical science. In the context of multivariate…

机器学习 · 计算机科学 2025-07-15 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu