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This paper explores the potential of the transformer models for learning Granger causality in networks with complex nonlinear dynamics at every node, as in neurobiological and biophysical networks. Our study primarily focuses on a…

Machine Learning · Computer Science 2025-10-21 Ziyu Lu , Anika Tabassum , Shruti Kulkarni , Lu Mi , J. Nathan Kutz , Eric Shea-Brown , Seung-Hwan Lim

Recently, there has been a revived interest in system neuroscience causation models due to their unique capability to unravel complex relationships in multi-scale brain networks. In this paper, our goal is to verify the feasibility and…

Machine Learning · Computer Science 2024-09-30 Dachuan Song , Li Shen , Duy Duong-Tran , Xuan Wang

Inferring cause-effect relationships from observational data has gained significant attention in recent years, but most methods are limited to scalar random variables. In many important domains, including neuroscience, psychology, social…

Machine Learning · Statistics 2025-06-06 Konstantin Göbler , Tobias Windisch , Mathias Drton

We introduce a novel framework for temporal causal discovery and inference that addresses two key challenges: complex nonlinear dependencies and spurious correlations. Our approach employs a multi-layer Transformer-based time-series…

Machine Learning · Computer Science 2025-08-25 Jihua Huang , Yi Yao , Ajay Divakaran

Identifying the main features and learning the causal relationships of a dynamic system from time-series of sensor data are key problems in many real-world robot applications. In this paper, we propose an extension of a state-of-the-art…

Robotics · Computer Science 2023-02-21 Luca Castri , Sariah Mghames , Marc Hanheide , Nicola Bellotto

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

Extracting causal connections can advance interpretable AI and machine learning. Granger causality (GC) is a robust statistical method for estimating directed influences (DC) between signals. While GC has been widely applied to analysing…

Neurons and Cognition · Quantitative Biology 2024-08-06 Abdoreza Asadpour , KongFatt Wong-Lin

Learning DAG structures from purely observational data remains a long-standing challenge across scientific domains. An emerging line of research leverages the score of the data distribution to initially identify a topological order of the…

Machine Learning · Computer Science 2026-01-27 Vy Vo , He Zhao , Trung Le , Edwin V. Bonilla , Dinh Phung

Existing causal discovery methods based on combinatorial optimization or search are slow, prohibiting their application on large-scale datasets. In response, more recent methods attempt to address this limitation by formulating causal…

Machine Learning · Computer Science 2024-03-07 Victor Akinwande , J. Zico Kolter

Understanding causal relationships in time series is fundamental to many domains, including neuroscience, economics, and behavioral science. Granger causality is one of the well-known techniques for inferring causality in time series.…

Artificial Intelligence · Computer Science 2025-08-04 Chakattrai Sookkongwaree , Tattep Lakmuang , Chainarong Amornbunchornvej

Endowing deep models with the ability to generalize in dynamic scenarios is of vital significance for real-world deployment, given the continuous and complex changes in data distribution. Recently, evolving domain generalization (EDG) has…

Machine Learning · Computer Science 2025-07-01 Zhuo He , Shuang Li , Wenze Song , Longhui Yuan , Jian Liang , Han Li , Kun Gai

Many real-world processes are trajectories that may be regarded as continuous-time "functional data". Examples include patients' biomarker concentrations, environmental pollutant levels, and prices of stocks. Corresponding advances in data…

Statistics Theory · Mathematics 2022-11-30 Jinghao Sun , Forrest W. Crawford

Identifying the causal structure of systems with multiple dynamic elements is critical to several scientific disciplines. The conventional approach is to conduct statistical tests of causality, for example with Granger Causality, between…

Machine Learning · Statistics 2022-03-22 Jacek P. Dmochowski

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

The discovery of causal relationships between random variables is an important yet challenging problem that has applications across many scientific domains. Differentiable causal discovery (DCD) methods are effective in uncovering causal…

Machine Learning · Computer Science 2024-10-29 Shiv Kampani , David Hidary , Constantijn van der Poel , Martin Ganahl , Brenda Miao

Accurately predicting possible behaviors of traffic participants is an essential capability for autonomous vehicles. Since autonomous vehicles need to navigate in dynamically changing environments, they are expected to make accurate…

Machine Learning · Computer Science 2021-12-06 Yeping Hu , Xiaogang Jia , Masayoshi Tomizuka , Wei Zhan

In many scientific fields, such as economics and neuroscience, we are often faced with nonstationary time series, and concerned with both finding causal relations and forecasting the values of variables of interest, both of which are…

Machine Learning · Computer Science 2019-08-01 Biwei Huang , Kun Zhang , Mingming Gong , Clark Glymour

Domain generalization (DG) is essentially an out-of-distribution problem, aiming to generalize the knowledge learned from multiple source domains to an unseen target domain. The mainstream is to leverage statistical models to model the…

Machine Learning · Computer Science 2022-03-29 Fangrui Lv , Jian Liang , Shuang Li , Bin Zang , Chi Harold Liu , Ziteng Wang , Di Liu

Finding cause-effect relationships is of key importance in science. Causal discovery aims to recover a graph from data that succinctly describes these cause-effect relationships. However, current methods face several challenges, especially…

Machine Learning · Computer Science 2026-01-21 Jan Marco Ruiz de Vargas , Kirtan Padh , Niki Kilbertus

Causality is essential for understanding complex systems, such as the economy, the brain, and the climate. Constructing causal graphs often relies on either data-driven or expert-driven approaches, both fraught with challenges. The former…

Artificial Intelligence · Computer Science 2024-06-12 Kai-Hendrik Cohrs , Gherardo Varando , Emiliano Diaz , Vasileios Sitokonstantinou , Gustau Camps-Valls
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