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Causal learning is a fundamental problem in statistics and science, offering insights into predicting the effects of unseen treatments on a system. Despite recent advances in this topic, most existing causal discovery algorithms operate…

机器学习 · 统计学 2024-02-27 Muralikrishnna G. Sethuraman , Faramarz Fekri

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

统计方法学 · 统计学 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

Several causal discovery algorithms have been proposed. However, when the sample size is small relative to the number of variables, the accuracy of estimating causal graphs using existing methods decreases. And some methods are not feasible…

机器学习 · 统计学 2025-10-06 Ming Cai , Hisayuki Hara

Structural causal models (SCMs), with an underlying directed acyclic graph (DAG), provide a powerful analytical framework to describe the interaction mechanisms in large-scale complex systems. However, when the system exhibits extreme…

统计方法学 · 统计学 2026-04-28 Junshu Jiang , Jordan Richards , Raphaël Huser , David Bolin

We consider the problem of inferring causal relationships between two or more passively observed variables. While the problem of such causal discovery has been extensively studied especially in the bivariate setting, the majority of current…

机器学习 · 统计学 2019-04-22 Ricardo Pio Monti , Kun Zhang , Aapo Hyvarinen

The presence of unobserved common causes and measurement error poses two major obstacles to causal structure learning, since ignoring either source of complexity can induce spurious causal relations among variables of interest. We study…

机器学习 · 计算机科学 2026-04-10 Yuqin Yang , Mohamed Nafea , Negar Kiyavash , Kun Zhang , AmirEmad Ghassami

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

统计方法学 · 统计学 2025-04-17 Jing Zou , Wei Li , Wei Lin

Structural causal models (SCMs) are widely used in various disciplines to represent causal relationships among variables in complex systems. Unfortunately, the underlying causal structure is often unknown, and estimating it from data…

机器学习 · 计算机科学 2024-01-17 Tianyu Chen , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

In this paper we present a comprehensive view of prominent causal discovery algorithms, categorized into two main categories (1) assuming acyclic and no latent variables, and (2) allowing both cycles and latent variables, along with…

人工智能 · 计算机科学 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

We propose a method to identify nonlinear acyclic networks in continuous time when the dynamics are located on the edges and all the nodes are excited. We show that it is necessary and sufficient to measure all the sinks to identify any…

最优化与控制 · 数学 2026-03-05 Ramachandran Anantharaman , Renato Vizuete , Julien M. Hendrickx , Alexandre Mauroy

Learning the structure of a causal graphical model using both observational and interventional data is a fundamental problem in many scientific fields. A promising direction is continuous optimization for score-based methods, which,…

机器学习 · 计算机科学 2022-02-28 Phillip Lippe , Taco Cohen , Efstratios Gavves

Traditional causal discovery methods often depend on strong, untestable assumptions, making them unreliable in real-world applications. In this context, Large Language Models (LLMs) have emerged as a promising alternative for extracting…

人工智能 · 计算机科学 2026-03-31 Federico Baldo , Simon Ferreira , Charles K. Assaad

Structural-equations models (SEMs) are perhaps the most commonly used framework for modeling causality. However, as we show, naively extending this framework to infinitely many variables, which is necessary, for example, to model dynamical…

人工智能 · 计算机科学 2021-12-20 Spencer Peters , Joseph Y. Halpern

We develop a framework for learning sparse nonparametric directed acyclic graphs (DAGs) from data. Our approach is based on a recent algebraic characterization of DAGs that led to a fully continuous program for score-based learning of DAG…

机器学习 · 统计学 2020-03-25 Xun Zheng , Chen Dan , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

Causal discovery in real-world systems, such as biological networks, is often complicated by feedback loops and incomplete data. Standard algorithms, which assume acyclic structures or fully observed data, struggle with these challenges. To…

机器学习 · 统计学 2026-04-07 Muralikrishnna G. Sethuraman , Razieh Nabi , Faramarz Fekri

Linearized string representations serve as the foundation of scalable autoregressive molecular generation; however, they introduce a fundamental modality mismatch where a single molecular graph maps to multiple distinct sequences. This…

机器学习 · 计算机科学 2026-03-27 Xinyu Wang , Fei Dou , Jinbo Bi , Minghu Song

Nonlinear causal discovery from observational data imposes strict identifiability assumptions on the formulation of structural equations utilized in the data generating process. The evaluation of structure learning methods under assumption…

机器学习 · 统计学 2024-12-17 Georg Velev , Stefan Lessmann

Directed acyclic graphs have been used fruitfully to represent causal strucures (Pearl 1988). However, in the social sciences and elsewhere models are often used which correspond both causally and statistically to directed graphs with…

人工智能 · 计算机科学 2020-10-24 Thomas S. Richardson

We propose a novel formalism for describing Structural Causal Models (SCMs) as fixed-point problems on causally ordered variables, eliminating the need for Directed Acyclic Graphs (DAGs), and establish the weakest known conditions for their…

机器学习 · 计算机科学 2024-12-16 Meyer Scetbon , Joel Jennings , Agrin Hilmkil , Cheng Zhang , Chao Ma

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