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Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

Machine Learning · Statistics 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

Dynamic inner principal component analysis (DiPCA) is a powerful method for the analysis of time-dependent multivariate data. DiPCA extracts dynamic latent variables that capture the most dominant temporal trends by solving a large-scale,…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Sungho Shin , Alex D. Smith , S. Joe Qin , Victor M. Zavala

Utilizing the complex inter-variable causal relationships within multivariate time-series provides a promising avenue toward more robust and reliable multivariate time-series anomaly detection (MTSAD) but remains an underexplored area of…

Machine Learning · Computer Science 2025-06-05 HyunGi Kim , Jisoo Mok , Dongjun Lee , Jaihyun Lew , Sungjae Kim , Sungroh Yoon

Understanding causal relationships in multivariate time series is essential for predicting and controlling dynamic systems in fields like economics, neuroscience, and climate science. However, existing causal discovery methods often assume…

Machine Learning · Computer Science 2025-02-20 Abdellah Rahmani , Pascal Frossard

Our goal is to recover time-delayed latent causal variables and identify their relations from measured temporal data. Estimating causally-related latent variables from observations is particularly challenging as the latent variables are not…

Machine Learning · Statistics 2022-02-10 Weiran Yao , Yuewen Sun , Alex Ho , Changyin Sun , Kun Zhang

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

Accurate forecasting of industrial time series requires balancing predictive accuracy with physical plausibility under non-stationary operating conditions. Existing data-driven models often achieve strong statistical performance but…

Machine Learning · Computer Science 2026-05-20 Yeran Zhang , Pengwei Yang , Guoqing Wang , Tianyu Li

The wide spreading of Internet of Things (IoT) sensors generates vast spatio-temporal data streams, but ensuring data credibility is a critical yet unsolved challenge for applications like smart homes. While spatio-temporal graph (STG)…

Machine Learning · Computer Science 2025-09-09 Guanjie Cheng , Boyi Li , Peihan Wu , Feiyi Chen , Xinkui Zhao , Mengying Zhu , Shuiguang Deng

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

Recent work has shown promising results in causal discovery by leveraging interventional data with gradient-based methods, even when the intervened variables are unknown. However, previous work assumes that the correspondence between…

Machine Learning · Computer Science 2022-07-12 Gonçalo R. A. Faria , André F. T. Martins , Mário A. T. Figueiredo

Disentangling complex causal relationships is important for accurate detection of anomalies. In multivariate time series analysis, dynamic interactions among data variables over time complicate the interpretation of causal relationships.…

Machine Learning · Computer Science 2025-10-14 Wonah Kim , Jeonghyeon Park , Dongsan Jun , Jungkyu Han , Sejin Chun

The era of big data has witnessed an increasing availability of observational data from mobile and social networking, online advertising, web mining, healthcare, education, public policy, marketing campaigns, and so on, which facilitates…

Machine Learning · Computer Science 2023-03-06 Zhixuan Chu , Ruopeng Li , Stephen Rathbun , Sheng Li

Kinematic sensors are often used to analyze movement behaviors in sports and daily activities due to their ease of use and lack of spatial restrictions, unlike video-based motion capturing systems. Still, the generation, and especially the…

Machine Learning · Computer Science 2025-11-27 Heiko Oppel , Michael Munz

Understanding how time delays impact the stability of a delay differential equation is important for modeling many natural and technological systems that experience time delays. Here we introduce a new stability criterion for…

Dynamical Systems · Mathematics 2025-08-25 Quinlan Leishman , Benjamin Webb

Extracting actionable insight from complex unlabeled scientific data is an open challenge and key to unlocking data-driven discovery in science. Complementary and alternative to supervised machine learning approaches, unsupervised…

The equations of complex dynamical systems may not be identified by expert knowledge, especially if the underlying mechanisms are unknown. Data-driven discovery methods address this challenge by inferring governing equations from…

Machine Learning · Computer Science 2026-02-05 Amit K. Chakraborty , Hao Wang , Pouria Ramazi

Data-driven societal event forecasting methods exploit relevant historical information to predict future events. These methods rely on historical labeled data and cannot accurately predict events when data are limited or of poor quality.…

Machine Learning · Computer Science 2021-12-13 Songgaojun Deng , Huzefa Rangwala , Yue Ning

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

Discovering causal relationships in complex multivariate time series is a fundamental scientific challenge. Traditional methods often falter, either by relying on restrictive linear assumptions or on conditional independence tests that…

Machine Learning · Computer Science 2025-08-05 Gian Marco Paldino , Gianluca Bontempi

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

Machine Learning · Computer Science 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar