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We develop a criterion to certify whether causal effects are identifiable in linear structural equation models with latent variables. Linear structural equation models correspond to directed graphs whose nodes represent the random variables…

统计理论 · 数学 2025-07-25 Nils Sturma , Mathias Drton

This paper studies the problem of learning the correlation structure of a set of intervention functions defined on the directed acyclic graph (DAG) of a causal model. This is useful when we are interested in jointly learning the causal…

机器学习 · 统计学 2020-09-29 Virginia Aglietti , Theodoros Damoulas , Mauricio Álvarez , Javier González

We present a novel form of Fourier analysis, and associated signal processing concepts, for signals (or data) indexed by edge-weighted directed acyclic graphs (DAGs). This means that our Fourier basis yields an eigendecomposition of a…

信号处理 · 电气工程与系统科学 2025-01-29 Bastian Seifert , Chris Wendler , Markus Püschel

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

统计方法学 · 统计学 2024-02-20 Pablo Geraldo Bastías

Deep neural networks have significantly improved the performance of low-level vision tasks but also increased the difficulty of interpretability. A deep understanding of deep models is beneficial for both network design and practical…

计算机视觉与模式识别 · 计算机科学 2025-04-01 Jinfan Hu , Jinjin Gu , Shiyao Yu , Fanghua Yu , Zheyuan Li , Zhiyuan You , Chaochao Lu , Chao Dong

Fair machine learning aims to avoid treating individuals or sub-populations unfavourably based on \textit{sensitive attributes}, such as gender and race. Those methods in fair machine learning that are built on causal inference ascertain…

机器学习 · 计算机科学 2023-01-18 Aoqi Zuo , Susan Wei , Tongliang Liu , Bo Han , Kun Zhang , Mingming Gong

An introduction to the emerging fusion of machine learning and causal inference. The book presents ideas from classical structural equation models (SEMs) and their modern AI equivalent, directed acyclical graphs (DAGs) and structural causal…

计量经济学 · 经济学 2024-03-06 Victor Chernozhukov , Christian Hansen , Nathan Kallus , Martin Spindler , Vasilis Syrgkanis

Causal discovery from data affected by unobserved variables is an important but difficult problem to solve. The effects that unobserved variables have on the relationships between observed variables are more complex in nonlinear cases than…

机器学习 · 计算机科学 2021-06-07 Takashi Nicholas Maeda , Shohei Shimizu

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…

机器学习 · 统计学 2022-08-31 Patrick Forré , Joris M. Mooij

Traditional statistical approaches primarily aim to model associations between variables, but many scientific and practical questions require causal methods instead. These approaches rely on assumptions about an underlying structure, often…

统计方法学 · 统计学 2025-11-26 Sjoerd Hermes , Joost van Heerwaarden , Fred van Eeuwijk , Pariya Behrouzi

Knowledge of the underlying causal relations is essential for inferring the effect of interventions in complex systems. In a widely studied approach, structural causal models postulate noisy functional relations among interacting variables,…

统计方法学 · 统计学 2024-06-21 David Strieder , Mathias Drton

Nonlinear machine-learning models are increasingly used to discover causal relationships in time-series data, yet the interpretation of their outputs remains poorly understood. In particular, causal scores produced by regularized neural…

机器学习 · 计算机科学 2026-05-27 Valentina Kuskova , Dmitry Zaytsev , Michael Coppedge

The combinatorial search space presents a significant challenge to learning causality from data. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint, allowing for the exploration…

机器学习 · 计算机科学 2022-04-04 Hristo Petkov , Colin Hanley , Feng Dong

Learning causal structures from observational data is a fundamental problem facing important computational challenges when the number of variables is large. In the context of linear structural equation models (SEMs), this paper focuses on…

机器学习 · 计算机科学 2024-02-21 Shuyu Dong , Kento Uemura , Akito Fujii , Shuang Chang , Yusuke Koyanagi , Koji Maruhashi , Michèle Sebag

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

机器学习 · 统计学 2024-03-26 Ali Shojaie , Wenyu Chen

Causal theory is now widely developed with many applications to medicine and public health. However within the discipline of reliability, although causation is a key concept in this field, there has been much less theoretical attention. In…

人工智能 · 计算机科学 2020-02-17 Xuewen Yu , Jim Q. Smith , Linda Nichols

We establish conditions under which latent causal graphs are nonparametrically identifiable and can be reconstructed from unknown interventions in the latent space. Our primary focus is the identification of the latent structure in…

机器学习 · 统计学 2023-11-06 Yibo Jiang , Bryon Aragam

Discovering causal structures from data is a challenging inference problem of fundamental importance in all areas of science. The appealing properties of neural networks have recently led to a surge of interest in differentiable neural…

The aim of this paper is to discuss a recent result which shows that probabilistic inference in the presence of (unknown) causal mechanisms can be tractable for models that have traditionally been viewed as intractable. This result was…

人工智能 · 计算机科学 2022-02-08 Adnan Darwiche

Numerous approaches have been proposed to discover causal dependencies in machine learning and data mining; among them, the state-of-the-art VAR-LiNGAM (short for Vector Auto-Regressive Linear Non-Gaussian Acyclic Model) is a desirable…

机器学习 · 计算机科学 2022-11-28 Aref Einizade , Sepideh Hajipour Sardouie