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Causal processes in biomedicine may contain cycles, evolve over time or differ between populations. However, many graphical models cannot accommodate these conditions. We propose to model causation using a mixture of directed cyclic graphs…

Machine Learning · Statistics 2020-09-08 Eric V. Strobl

Since distribution shifts are common in real-world applications, there is a pressing need to develop prediction models that are robust against such shifts. Existing frameworks, such as empirical risk minimization or distributionally robust…

Methodology · Statistics 2025-03-25 Xinwei Shen , Peter Bühlmann , Armeen Taeb

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

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

Machine Learning · Computer Science 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

Causal inference is a fundamental research topic for discovering the cause-effect relationships in many disciplines. However, not all algorithms are equally well-suited for a given dataset. For instance, some approaches may only be able to…

Machine Learning · Computer Science 2024-03-11 Zhipeng Ma , Marco Kemmerling , Daniel Buschmann , Chrismarie Enslin , Daniel Lütticke , Robert H. Schmitt

Causal discovery from time-series data aims to capture both intra-slice (contemporaneous) and inter-slice (time-lagged) causality between variables within the temporal chain, which is crucial for various scientific disciplines. Compared to…

Machine Learning · Computer Science 2026-01-26 Rujia Shen , Boran Wang , Chao Zhao , Yi Guan , Jingchi Jiang

Causal discovery problems use a set of observations to deduce causality between variables in the real world, typically to answer questions about biological or physical systems. These observations are often recorded at regular time…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Kurt Butler , Damian Machlanski , Panagiotis Dimitrakopoulos , Sotirios A. Tsaftaris

Deep learning (DL) has recently drawn much attention in image analysis, natural language process, and high-dimensional medical data analysis. Under the causal direct acyclic graph (DAG) interpretation, the input variables without incoming…

Applications · Statistics 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

Causal structure discovery in complex dynamical systems is an important challenge for many scientific domains. Although data from (interventional) experiments is usually limited, large amounts of observational time series data sets are…

Machine Learning · Computer Science 2021-10-19 Bart Bussmann , Jannes Nys , Steven Latré

Early and accurate detection of anomalies in time series data is critical, given the significant risks associated with false or missed detections. While MLP-based mixer models have shown promise in time series analysis, they lack a…

Machine Learning · Computer Science 2025-06-03 Md Mahmuddun Nabi Murad , Yasin Yilmaz

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

The growing availability and importance of time series data across various domains, including environmental science, epidemiology, and economics, has led to an increasing need for time-series causal discovery methods that can identify the…

Machine Learning · Computer Science 2024-04-03 Omar Faruque , Sahara Ali , Xue Zheng , Jianwu Wang

An approach is proposed for inferring Granger causality between jointly stationary, Gaussian signals from quantized data. First, a necessary and sufficient rank criterion for the equality of two conditional Gaussian distributions is proved.…

Systems and Control · Electrical Eng. & Systems 2022-02-07 Salman Ahmadi , Girish N. Nair , Erik Weyer

Our goal is to estimate causal interactions in multivariate time series. Using vector autoregressive (VAR) models, these can be defined based on non-vanishing coefficients belonging to respective time-lagged instances. As in most cases a…

Methodology · Statistics 2010-08-13 Stefan Haufe , Guido Nolte , Klaus-Robert Mueller , Nicole Kraemer

A common theme in causal inference is learning causal relationships between observed variables, also known as causal discovery. This is usually a daunting task, given the large number of candidate causal graphs and the combinatorial nature…

Machine Learning · Statistics 2022-10-11 Romain Lopez , Jan-Christian Hütter , Jonathan K. Pritchard , Aviv Regev

Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

Machine Learning · Statistics 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam

This paper presents a method to identify causal interactions between two time series. The largest eigenvalue follows a Tracy-Widom distribution, derived from a Coulomb gas model. This defines causal interactions as the pushing and pulling…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Om Hari Yadav

Causal discovery outputs a causal structure, represented by a graph, from observed data. For time series data, there is a variety of methods, however, it is difficult to evaluate these on real data as realistic use cases very rarely come…

Machine Learning · Statistics 2023-10-31 Søren Wengel Mogensen , Karin Rathsman , Per Nilsson

Accurate multivariate time series forecasting hinges on inter-series correlations, which often evolve in complex ways across different temporal scales. Existing methods are limited in modeling these multi-scale dependencies and struggle to…

Machine Learning · Computer Science 2026-01-27 Shaoxun Wang , Xingjun Zhang , Qianyang Li , Jiawei Cao , Zhendong Tan

We propose a new method for clustering multivariate time-series data based on Dynamic Linear Models. Whereas usual time-series clustering methods obtain static membership parameters, our proposal allows each time-series to dynamically…

Applications · Statistics 2020-02-06 Victhor S. Sartório , Thaís C. O. Fonseca