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We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

机器学习 · 计算机科学 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

机器学习 · 统计学 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

Granger causality and variants of this concept allow the study of complex dynamical systems as networks constructed from multivariate time series. In this work, a large number of Granger causality measures used to form causality networks…

统计计算 · 统计学 2020-01-08 Elsa Siggiridou , Christos Koutlis , Alkiviadis Tsimpiris , Dimitris Kugiumtzis

Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

机器学习 · 统计学 2024-05-27 Stephen Smith , Qing Zhou

Due to its human-interpretability and invariance properties, Directed Acyclic Graph (DAG) has been a foundational tool across various areas of AI research, leading to significant advancements. However, DAG learning remains highly…

机器学习 · 计算机科学 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

The recent works on causal discovery have followed a similar trend of learning partial ancestral graphs (PAGs) since observational data constrain the true causal directed acyclic graph (DAG) only up to a Markov equivalence class. This…

机器学习 · 计算机科学 2026-03-03 Tingrui Huang , Devendra Singh Dhami

There has been a recent surge in learning generative models for graphs. While impressive progress has been made on static graphs, work on generative modeling of temporal graphs is at a nascent stage with significant scope for improvement.…

机器学习 · 计算机科学 2022-08-26 Shubham Gupta , Sahil Manchanda , Srikanta Bedathur , Sayan Ranu

One of the grand challenges of cell biology is inferring the gene regulatory network (GRN) which describes interactions between genes and their products that control gene expression and cellular function. We can treat this as a causal…

机器学习 · 计算机科学 2023-12-27 Lazar Atanackovic , Alexander Tong , Bo Wang , Leo J. Lee , Yoshua Bengio , Jason Hartford

Understanding causal relationships within Gene Regulatory Networks (GRNs) is essential for unraveling the gene interactions in cellular processes. However, causal discovery in GRNs is a challenging problem for multiple reasons including the…

人工智能 · 计算机科学 2023-10-06 Trang Nguyen , Alexander Tong , Kanika Madan , Yoshua Bengio , Dianbo Liu

We propose a graphical model for representing networks of stochastic processes, the minimal generative model graph. It is based on reduced factorizations of the joint distribution over time. We show that under appropriate conditions, it is…

信息论 · 计算机科学 2015-03-13 Christopher J. Quinn , Negar Kiyavash , Todd P. Coleman

We introduce graphical time series models for the analysis of dynamic relationships among variables in multivariate time series. The modelling approach is based on the notion of strong Granger causality and can be applied to time series…

统计理论 · 数学 2011-07-18 Michael Eichler

Granger causality (GC) is often considered not an actual form of causality. Still, it is arguably the most widely used method to assess the predictability of a time series from another one. Granger causality has been widely used in many…

机器学习 · 计算机科学 2023-07-21 Víctor Elvira , Émilie Chouzenoux , Jordi Cerdà , Gustau Camps-Valls

We study Granger causality in the context of wide-sense stationary time series, where our focus is on the topological aspects of the underlying causality graph. We establish sufficient conditions (in particular, we develop the notion of a…

统计理论 · 数学 2019-11-19 R. J. Kinnear , R. R. Mazumdar

Directed acyclic graphs (DAGs) constitute a central modeling tool to enable principled reasoning about cause-effect interactions in complex systems. However, since the causal structure underlying a group of variables is often unknown and…

机器学习 · 统计学 2026-05-25 Gonzalo Mateos , Samuel Rey , Hamed Ajorlou , Mariano Tepper

The Granger framework is useful for discovering causal relations in time-varying signals. However, most Granger causality (GC) methods are developed for densely sampled timeseries data. A substantially different setting, particularly common…

机器学习 · 计算机科学 2024-12-19 Minh Nguyen , Gia H. Ngo , Mert R. Sabuncu

Biological networks are pivotal in deciphering the complexity and functionality of biological systems. Causal inference, which focuses on determining the directionality and strength of interactions between variables rather than merely…

分子网络 · 定量生物学 2025-11-05 Hongyang Jiang , Yuezhu Wang , Ke Feng , Chaoyi Yin , Yi Chang , Huiyan Sun

Granger causality is well established within the neurosciences for inference of directed functional connectivity from neurophysiological data. These data usually consist of time series which subsample a continuous-time biophysiological…

应用统计 · 统计学 2016-09-08 Lionel Barnett , Anil K. Seth

Characterising cause-effect relationships in complex systems is fundamental to understanding their underlying mechanisms. Granger causality (GC) remains a widely used computational tool for identifying causal relationships in time series…

机器学习 · 统计学 2026-05-26 S. A. Adedayo

Granger causal inference is a contentious but widespread method used in fields ranging from economics to neuroscience. The original definition addresses the notion of causality in time series by establishing functional dependence…

统计方法学 · 统计学 2023-09-19 Noah D. Gade , Jordan Rodu

Biological systems are governed by structured molecular interactions, where pathways, regulatory circuits, and functional gene relationships shape cellular behavior and disease progression. Much of this knowledge is naturally represented as…

机器学习 · 计算机科学 2026-05-26 Yuwei Xue , Sakib Mostafa , James Zou , Joseph Liao , Maximilian Diehn , Ash A. Alizadeh , Lei Xing , Md. Tauhidul Islam