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In this paper, we present the Difference- Based Causality Learner (DBCL), an algorithm for learning a class of discrete-time dynamic models that represents all causation across time by means of difference equations driving change in a…

Artificial Intelligence · Computer Science 2012-03-19 Mark Voortman , Denver Dash , Marek J. Druzdzel

This article presents a novel method for causal discovery with generalized structural equation models suited for analyzing diverse types of outcomes, including discrete, continuous, and mixed data. Causal discovery often faces challenges…

Methodology · Statistics 2023-10-26 Minjie Wang , Xiaotong Shen , Wei Pan

Exploring causal relationships in stochastic time series is a challenging yet crucial task with a vast range of applications, including finance, economics, neuroscience, and climate science. Many algorithms for Causal Discovery (CD) have…

Machine Learning · Computer Science 2026-02-19 Matteo Tusoni , Giuseppe Masi , Andrea Coletta , Aldo Glielmo , Viviana Arrigoni , Novella Bartolini

Anomaly detection in multivariate time series (MTS) is hindered by dynamic inter-variable dependencies and feature entanglement under spectral noise, and in practice, is further complicated by the absence of anomaly labels. Existing…

Machine Learning · Computer Science 2026-05-25 Yunhua Pei , Zixing Song , Jin Zheng , John Cartlidge

Learning disentangled causal representations is a challenging problem that has gained significant attention recently due to its implications for extracting meaningful information for downstream tasks. In this work, we define a new notion of…

Machine Learning · Computer Science 2024-08-27 Aneesh Komanduri , Yongkai Wu , Feng Chen , Xintao Wu

In time series anomaly detection (TSAD), the scarcity of labeled data poses a challenge to the development of accurate models. Unsupervised domain adaptation (UDA) offers a solution by leveraging labeled data from a related domain to detect…

Machine Learning · Computer Science 2025-09-09 Zahra Zamanzadeh Darban , Yiyuan Yang , Geoffrey I. Webb , Charu C. Aggarwal , Qingsong Wen , Shirui Pan , Mahsa Salehi

In the realm of time series analysis, tackling the phenomenon of concept drift poses a significant challenge. Concept drift -- characterized by the evolving statistical properties of time series data, affects the reliability and accuracy of…

Machine Learning · Computer Science 2025-02-03 Kunpeng Xu , Lifei Chen , Shengrui Wang

The aim of this work is to detect and automatically generate high-level explanations of anomalous events in video. Understanding the cause of an anomalous event is crucial as the required response is dependant on its nature and severity.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Stanislaw Szymanowicz , James Charles , Roberto Cipolla

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

Machine Learning · Computer Science 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

Foundation models for structured time series data must contend with a fundamental challenge: observations often conflate the true underlying physical phenomena with systematic distortions introduced by measurement instruments. This…

Machine Learning · Computer Science 2025-07-09 Jeroen Audenaert , Daniel Muthukrishna , Paul F. Gregory , David W. Hogg , V. Ashley Villar

Classical machine learning techniques often struggle with overfitting and unreliable predictions when exposed to novel conditions. Introducing causality into the modelling process offers a promising way to mitigate these challenges by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 David Zapata Gonzalez , Marcel Meyer , Oliver Mueller

Causality defines the relationship between cause and effect. In multivariate time series field, this notion allows to characterize the links between several time series considering temporal lags. These phenomena are particularly important…

Methodology · Statistics 2023-06-01 Antonin Arsac , Aurore Lomet , Jean-Philippe Poli

In recent years, the emergence and development of third-party platforms have greatly facilitated the growth of the Online to Offline (O2O) business. However, the large amount of transaction data raises new challenges for retailers,…

Machine Learning · Computer Science 2022-05-24 Xu Chen , Qiu Qiu , Changshan Li , Kunqing Xie

Trajectory anomaly detection, aiming to estimate the anomaly risk of trajectories given the Source-Destination (SD) pairs, has become a critical problem for many real-world applications. Existing solutions directly train a generative model…

Machine Learning · Computer Science 2024-12-30 Wenbin Li , Di Yao , Chang Gong , Xiaokai Chu , Quanliang Jing , Xiaolei Zhou , Yuxuan Zhang , Yunxia Fan , Jingping Bi

Time series data from real-world systems often display non-stationary behavior, indicating varying statistical characteristics over time. This inherent variability poses significant challenges in deciphering the underlying structural…

Applications · Statistics 2024-05-07 Wasim Ahmad , Maha Shadaydeh , Joachim Denzler

The prevailing graph neural network models have achieved significant progress in graph representation learning. However, in this paper, we uncover an ever-overlooked phenomenon: the pre-trained graph representation learning model tested…

Machine Learning · Computer Science 2023-02-14 Hang Gao , Jiangmeng Li , Wenwen Qiang , Lingyu Si , Bing Xu , Changwen Zheng , Fuchun Sun

In real-world phenomena which involve mutual influence or causal effects between interconnected units, equilibrium states are typically represented with cycles in graphical models. An expressive class of graphical models, relational causal…

Artificial Intelligence · Computer Science 2023-03-20 Ragib Ahsan , David Arbour , Elena Zheleva

We study causal discovery from observational data in linear Gaussian systems affected by \emph{mixed latent confounding}, where some unobserved factors act broadly across many variables while others influence only small subsets. This…

Machine Learning · Computer Science 2026-01-01 Amir Asiaee , Samhita Pal , James O'quinn , James P. Long

Recently, generative graph models have shown promising results in learning graph representations through self-supervised methods. However, most existing generative graph representation learning (GRL) approaches rely on random masking across…

Machine Learning · Computer Science 2026-05-08 Xinyue Hu , Zhibin Duan , Xinyang Liu , Yuxin Li , Bo Chen , Chaojie Wang , Yilin He , Hongwei Liu , Mingyuan Zhou

Performing anomaly detection in hybrid systems is a challenging task since it requires analysis of timing behavior and mutual dependencies of both discrete and continuous signals. Typically, it requires modeling system behavior, which is…

Machine Learning · Computer Science 2020-10-30 Nemanja Hranisavljevic , Oliver Niggemann , Alexander Maier