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The widespread availability of complex time series data in various domains such as environmental science, epidemiology, and economics demands robust causal discovery methods that can identify intricate contemporaneous and lagged…

Machine Learning · Computer Science 2026-05-12 Omar Faruque , Sahara Ali , Xue Zheng , Jianwu Wang

Missing data in time series is a pervasive problem that puts obstacles in the way of advanced analysis. A popular solution is imputation, where the fundamental challenge is to determine what values should be filled in. This paper proposes…

Machine Learning · Computer Science 2023-07-06 Wenjie Du , David Cote , Yan Liu

Reconstructing accurate causal models of dynamic systems from time-series of sensor data is a key problem in many real-world scenarios. In this paper, we present an overview based on our experience about practical challenges that the causal…

Robotics · Computer Science 2023-01-11 Luca Castri , Sariah Mghames , Nicola Bellotto

We revisit the structure learning problem for dynamic Bayesian networks and propose a method that simultaneously estimates contemporaneous (intra-slice) and time-lagged (inter-slice) relationships between variables in a time-series. Our…

We address the problem of causal discovery from data, making use of the recently proposed causal modeling framework of modular structural causal models (mSCM) to handle cycles, latent confounders and non-linearities. We introduce…

Machine Learning · Statistics 2022-08-31 Patrick Forré , Joris M. Mooij

Learning directed acyclic graphs (DAGs) to identify causal relations underlying observational data is crucial but also poses significant challenges. Recently, topology-based methods have emerged as a two-step approach to discovering DAGs by…

Machine Learning · Computer Science 2023-08-17 Anpeng Wu , Haoxuan Li , Kun Kuang , Keli Zhang , Fei Wu

Current top-notch deep learning (DL) based vision models are primarily based on exploring and exploiting the inherent correlations between training data samples and their associated labels. However, a known practical challenge is their…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Chao-Han Huck Yang , I-Te Danny Hung , Yi-Chieh Liu , Pin-Yu Chen

Confounding bias is a key challenge in causal effect estimation from observational data. Double Machine Learning (DML) addresses this issue by estimating treatment and outcome nuisance functions, constructing treatment and outcome…

Machine Learning · Computer Science 2026-05-26 Guodu Xiang , Kui Yu , Yujie Wang , Richang Hong , Fuyuan Cao , Jiye Liang

Missing values are ubiquitous in multivariate time series (MTS) data, posing significant challenges for accurate analysis and downstream applications. In recent years, deep learning-based methods have successfully handled missing data by…

Machine Learning · Computer Science 2025-05-21 Jun Wang , Wenjie Du , Yiyuan Yang , Linglong Qian , Wei Cao , Keli Zhang , Wenjia Wang , Yuxuan Liang , Qingsong Wen

In the field of Artificial Intelligence for Information Technology Operations, causal discovery is pivotal for operation and maintenance of graph construction, facilitating downstream industrial tasks such as root cause analysis. Temporal…

Artificial Intelligence · Computer Science 2024-05-28 Peiwen Li , Xin Wang , Zeyang Zhang , Yuan Meng , Fang Shen , Yue Li , Jialong Wang , Yang Li , Wenweu Zhu

Estimating the governing equation parameter values is essential for integrating experimental data with scientific theory to understand, validate, and predict the dynamics of complex systems. In this work, we propose a new method for…

Dynamical Systems · Mathematics 2025-06-27 Cristian López , Keegan J. Moore

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

Natural dynamical systems, including the brain and climate, are highly nonlinear and complex. Determining information flow among the components that make up these dynamical systems is challenging. If the components are the result of a…

Chaotic Dynamics · Physics 2025-08-26 Claudia Lainscsek , Pariya Salami , Simon Draeger , Sydney S. Cash , Terrence J. Sejnowski

Natural systems are typically nonlinear and complex, and it is of great interest to be able to reconstruct a system in order to understand its mechanism, which can not only recover nonlinear behaviors but also predict future dynamics. Due…

Chaotic Dynamics · Physics 2017-11-03 Huanfei Ma , Siyang Leng , Luonan Chen

Learning causal effects from data is a fundamental and well-studied problem across science, especially when the cause-effect relationship is static in nature. However, causal effect is less explored when there are dynamical dependencies,…

Machine Learning · Computer Science 2023-09-11 Mishfad Shaikh Veedu , James Melbourne , Murti V. Salapaka

Dynamical systems are used to model a variety of phenomena in which the bifurcation structure is a fundamental characteristic. Here we propose a statistical machine-learning approach to derive lowdimensional models that automatically…

Quantitative Methods · Quantitative Biology 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

Most existing multivariate time series forecasting methods adopt an all-to-all paradigm that feeds all variable histories into a unified model to predict their future values without distinguishing their individual roles. However, this…

Machine Learning · Computer Science 2026-02-16 Xingyu Zhang , Hanyun Du , Zeen Song , Siyu Zhao , Changwen Zheng , Wenwen Qiang

Deep reinforcement learning (RL) agents are becoming increasingly proficient in a range of complex control tasks. However, the agent's behavior is usually difficult to interpret due to the introduction of black-box function, making it…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Wenjie Shi , Gao Huang , Shiji Song , Cheng Wu

We consider systems under uncertainty whose dynamics are partially unknown. Our aim is to study satisfaction of temporal logic properties by trajectories of such systems. We express these properties as signal temporal logic formulas and…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Ali Salamati , Sadegh Soudjani , Majid Zamani

Linear structural causal models (SCMs) -- in which each observed variable is generated by a subset of the other observed variables as well as a subset of the exogenous sources -- are pervasive in causal inference and casual discovery.…

Machine Learning · Computer Science 2022-11-09 Yuqin Yang , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash