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For a continuous random variable $Z$, testing conditional independence $X \perp\!\!\!\perp Y |Z$ is known to be a particularly hard problem. It constitutes a key ingredient of many constraint-based causal discovery algorithms. These…

统计理论 · 数学 2021-12-21 Philip A. Boeken , Joris M. Mooij

In a previous paper [Pearl and Verma, 1991] we presented an algorithm for extracting causal influences from independence information, where a causal influence was defined as the existence of a directed arc in all minimal causal models…

人工智能 · 计算机科学 2013-03-25 Tom S. Verma , Judea Pearl

Causal learning tackles the computationally demanding task of estimating causal graphs. This paper introduces a new divide-and-conquer approach for causal graph learning, called DCILP. In the divide phase, the Markov blanket MB($X_i$) of…

机器学习 · 计算机科学 2025-07-01 Shuyu Dong , Michèle Sebag , Kento Uemura , Akito Fujii , Shuang Chang , Yusuke Koyanagi , Koji Maruhashi

Learning causal structure is useful in many areas of artificial intelligence, including planning, robotics, and explanation. Constraint-based structure learning algorithms such as PC use conditional independence (CI) tests to infer causal…

机器学习 · 计算机科学 2022-11-15 Erica Cai , Andrew McGregor , David Jensen

Conditional local independence is an asymmetric independence relation among continuous time stochastic processes. It describes whether the evolution of one process is directly influenced by another process given the histories of additional…

统计理论 · 数学 2024-02-26 Alexander Mangulad Christgau , Lasse Petersen , Niels Richard Hansen

Identifying controlled direct effects (CDEs) is crucial across numerous scientific domains. While existing methods can identify these effects from causal directed acyclic graphs (DAGs), the true DAG is often unknown in practice. Essential…

人工智能 · 计算机科学 2026-04-09 Timothée Loranchet , Charles K. Assaad

Testing for conditional independence is a core aspect of constraint-based causal discovery. Although commonly used tests are perfect in theory, they often fail to reject independence in practice, especially when conditioning on multiple…

机器学习 · 统计学 2019-03-13 Alexander Marx , Jilles Vreeken

The validity OF a causal model can be tested ONLY IF the model imposes constraints ON the probability distribution that governs the generated data. IN the presence OF unmeasured variables, causal models may impose two types OF constraints :…

人工智能 · 计算机科学 2013-01-07 Jin Tian , Judea Pearl

Causal variables in Markov boundary (MB) have been widely applied in extensive single-label tasks. While few researches focus on the causal variable discovery in multi-label data due to the complex causal relationships. Since some variables…

机器学习 · 计算机科学 2020-11-10 Xingyu Wu , Bingbing Jiang , Yan Zhong , Huanhuan Chen

Conditional independence (CI) tests are widely used in statistical data analysis, e.g., they are the building block of many algorithms for causal graph discovery. The goal of a CI test is to accept or reject the null hypothesis that $X…

机器学习 · 统计学 2024-03-26 Iden Kalemaj , Shiva Prasad Kasiviswanathan , Aaditya Ramdas

We present a sound and complete algorithm for recovering causal graphs from observed, non-interventional data, in the possible presence of latent confounders and selection bias. We rely on the causal Markov and faithfulness assumptions and…

人工智能 · 计算机科学 2020-12-25 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Causal processes in nature may contain cycles, and real datasets may violate causal sufficiency as well as contain selection bias. No constraint-based causal discovery algorithm can currently handle cycles, latent variables and selection…

机器学习 · 统计学 2018-05-08 Eric V. Strobl

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

机器学习 · 计算机科学 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be…

机器学习 · 计算机科学 2020-10-07 Marcel Wienöbst , Maciej Liśkiewicz

We consider the task of learning a causal graph in the presence of latent confounders given i.i.d.~samples from the model. While current algorithms for causal structure discovery in the presence of latent confounders are constraint-based,…

统计理论 · 数学 2020-03-26 Daniel Irving Bernstein , Basil Saeed , Chandler Squires , Caroline Uhler

Multimodal traffic flow can reflect the health of the transportation system, and its prediction is crucial to urban traffic management. Recent works overemphasize spatio-temporal correlations of traffic flow, ignoring the physical concepts…

机器学习 · 计算机科学 2023-01-23 Yu Zhao , Pan Deng , Junting Liu , Xiaofeng Jia , Mulan Wang

We provide a comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data. The main assumption behind these models is that the response variables are conditionally independent given a latent process…

统计理论 · 数学 2010-03-16 F. Bartolucci , A. Farcomeni , F. Pennoni

Detecting conditional independencies plays a key role in several statistical and machine learning tasks, especially in causal discovery algorithms. In this study, we introduce LCIT (Latent representation based Conditional Independence…

机器学习 · 计算机科学 2022-09-07 Bao Duong , Thin Nguyen

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

机器学习 · 计算机科学 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

Conditional independence provides a way to understand causal relationships among the variables of interest. An underlying system may exhibit more fine-grained causal relationships especially between a variable and its parents, which will be…

机器学习 · 计算机科学 2024-05-14 Inwoo Hwang , Yunhyeok Kwak , Yeon-Ji Song , Byoung-Tak Zhang , Sanghack Lee