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相关论文: Estimating high-dimensional directed acyclic graph…

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We consider the task of estimating a high-dimensional directed acyclic graph, given observations from a linear structural equation model with arbitrary noise distribution. By exploiting properties of common random graphs, we develop a new…

机器学习 · 统计学 2019-12-30 Arjun Sondhi , Ali Shojaie

We present a graph-based technique for estimating sparse covariance matrices and their inverses from high-dimensional data. The method is based on learning a directed acyclic graph (DAG) and estimating parameters of a multivariate Gaussian…

统计方法学 · 统计学 2010-01-18 Philipp Rütimann , Peter Bühlmann

Estimation of the skeleton of a directed acyclic graph (DAG) is of great importance for understanding the underlying DAG and causaleffects can be assessed from the skeleton when the DAG is notidentifiable. We propose a novel method named…

统计方法学 · 统计学 2014-05-08 Min Jin Ha , Wei Sun , Jichun Xie

The problem of learning a directed acyclic graph (DAG) up to Markov equivalence is equivalent to the problem of finding a permutation of the variables that induces the sparsest graph. Without additional assumptions, this task is known to be…

统计方法学 · 统计学 2020-11-10 Chandler Squires , Joshua Amaniampong , Caroline Uhler

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

机器学习 · 统计学 2009-12-01 Ali Shojaie , George Michailidis

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

Learning the structure of Directed Acyclic Graphs (DAGs) presents a significant challenge due to the vast combinatorial search space of possible graphs, which scales exponentially with the number of nodes. Recent advancements have redefined…

机器学习 · 计算机科学 2024-11-01 Klea Ziu , Slavomír Hanzely , Loka Li , Kun Zhang , Martin Takáč , Dmitry Kamzolov

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

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

This paper considers the problem of estimating the structure of multiple related directed acyclic graph (DAG) models. Building on recent developments in exact estimation of DAGs using integer linear programming (ILP), we present an ILP…

机器学习 · 统计学 2014-11-13 Chris J. Oates , Jim Q. Smith , Sach Mukherjee , James Cussens

Learning graphical structures based on Directed Acyclic Graphs (DAGs) is a challenging problem, partly owing to the large search space of possible graphs. A recent line of work formulates the structure learning problem as a continuous…

机器学习 · 计算机科学 2021-01-12 Ignavier Ng , AmirEmad Ghassami , Kun Zhang

Bayesian networks, with structure given by a directed acyclic graph (DAG), are a popular class of graphical models. However, learning Bayesian networks from discrete or categorical data is particularly challenging, due to the large…

统计方法学 · 统计学 2018-02-06 Jiaying Gu , Fei Fu , Qing Zhou

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

统计理论 · 数学 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

A recent approach to building consensus protocols on top of Directed Acyclic Graphs (DAGs) shows much promise due to its simplicity and stable throughput. However, as each node in the DAG typically includes a linear number of references to…

分布式、并行与集群计算 · 计算机科学 2026-03-03 Michael Anoprenko , Andrei Tonkikh , Alexander Spiegelman , Petr Kuznetsov , Anatoliy Zinovyev , Konstantin Shprenger

Directed acyclic graphs (DAGs) are directed graphs in which there is no path from a vertex to itself. DAGs are an omnipresent data structure in computer science and the problem of counting the DAGs of given number of vertices and to sample…

离散数学 · 计算机科学 2025-10-03 Martin Pépin , Alfredo Viola

Estimating the structure of directed acyclic graphs (DAGs, also known as Bayesian networks) is a challenging problem since the search space of DAGs is combinatorial and scales superexponentially with the number of nodes. Existing approaches…

机器学习 · 统计学 2018-11-06 Xun Zheng , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

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

Estimating a directed acyclic graph (DAG) from observational data represents a canonical learning problem and has generated a lot of interest in recent years. Research has focused mostly on the following two cases: when no information…

应用统计 · 统计学 2019-02-15 Syed Rahman , Kshitij Khare , George Michailidis , Carlos Martinez , Juan Carulla

Directed acyclic graphs provide a fundamental tool for representing directed dependence structures in multivariate network data, and are widely used to model financial and economic networks. However, accurate and interpretable estimation…

统计方法学 · 统计学 2026-05-26 Huihang Liu , Wenhui Li , Xinyu Zhang

We explore if it is possible to learn a directed acyclic graph (DAG) from data without imposing explicitly the acyclicity constraint. In particular, for Gaussian distributions, we frame structural learning as a sparse matrix factorization…

机器学习 · 统计学 2020-06-05 Gherardo Varando
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