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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

Mainly motivated by the problem of modelling directional dependence relationships for multivariate count data in high-dimensional settings, we present a new algorithm, called learnDAG, for learning the structure of directed acyclic graphs…

统计方法学 · 统计学 2024-06-10 Thi Kim Hue Nguyen , Monica Chiogna , Davide Risso

Directed acyclic graph (DAG) models are widely used to represent causal relationships among random variables in many application domains. This paper studies a special class of non-Gaussian DAG models, where the conditional variance of each…

机器学习 · 统计学 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

The estimator of a causal directed acyclic graph (DAG) with the PC algorithm is known to be consistent based on independent and identically distributed samples. In this paper, we consider the scenario when the multivariate samples are…

统计方法学 · 统计学 2023-11-07 Rahul Biswas , Somabha Mukherjee

Estimating the structure of directed acyclic graphs (DAGs) of features (variables) plays a vital role in revealing the latent data generation process and providing causal insights in various applications. Although there have been many…

机器学习 · 计算机科学 2024-03-06 Shaohua Fan , Shuyang Zhang , Xiao Wang , Chuan Shi

Learning directed acyclic graphs (DAGs) to identify causal relations underlying observational data is crucial but also poses significant challenges. Recently, topology-based methods have emerged as a two-step approach to discovering DAGs by…

机器学习 · 计算机科学 2023-08-17 Anpeng Wu , Haoxuan Li , Kun Kuang , Keli Zhang , Fei Wu

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

We study a family of regularized score-based estimators for learning the structure of a directed acyclic graph (DAG) for a multivariate normal distribution from high-dimensional data with $p\gg n$. Our main results establish support…

统计理论 · 数学 2017-10-03 Bryon Aragam , Arash A. Amini , Qing Zhou

In this article, we propose a new hypothesis testing method for directed acyclic graph (DAG). While there is a rich class of DAG estimation methods, there is a relative paucity of DAG inference solutions. Moreover, the existing methods…

机器学习 · 统计学 2023-05-25 Chengchun Shi , Yunzhe Zhou , Lexin Li

We establish finite-sample guarantees for a polynomial-time algorithm for learning a nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is model-free and does not assume linearity, additivity,…

机器学习 · 统计学 2020-11-12 Ming Gao , Yi Ding , Bryon Aragam

We study the problem of reducing test-time acquisition costs in classification systems. Our goal is to learn decision rules that adaptively select sensors for each example as necessary to make a confident prediction. We model our system as…

机器学习 · 统计学 2015-10-27 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

机器学习 · 统计学 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

Discovering the underlying Directed Acyclic Graph (DAG) from time series observational data is highly challenging due to the dynamic nature and complex nonlinear interactions between variables. Existing methods typically search for the…

机器学习 · 计算机科学 2025-03-21 Jiajun Zhang , Boyang Qiang , Xiaoyu Guo , Weiwei Xing , Yue Cheng , Witold Pedrycz

Understanding causal relationships in multivariate time series is essential for predicting and controlling dynamic systems in fields like economics, neuroscience, and climate science. However, existing causal discovery methods often assume…

机器学习 · 计算机科学 2025-02-20 Abdellah Rahmani , Pascal Frossard

This work aims to learn the directed acyclic graph (DAG) that captures the instantaneous dependencies underlying a multivariate time series. The observed data follow a linear structural vector autoregressive model (SVARM) with both…

信号处理 · 电气工程与系统科学 2025-12-09 Samuel Rey , Gonzalo Mateos

Causal discovery, the learning of causality in a data mining scenario, has been of strong scientific and theoretical interest as a starting point to identify "what causes what?" Contingent on assumptions and a proper learning algorithm, it…

统计方法学 · 统计学 2022-05-23 Gabriel Ruiz , Oscar Hernan Madrid Padilla , Qing Zhou

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

In multivariate time series analysis, understanding the underlying causal relationships among variables is often of interest for various applications. Directed acyclic graphs (DAGs) provide a powerful framework for representing causal…

统计方法学 · 统计学 2025-07-30 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

机器学习 · 统计学 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

In observational studies, the true causal model is typically unknown and needs to be estimated from available observational and limited experimental data. In such cases, the learned causal model is commonly represented as a partially…

人工智能 · 计算机科学 2023-03-01 Malte Luttermann , Marcel Wienöbst , Maciej Liśkiewicz
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