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Learning graphical conditional independence structures is an important machine learning problem and a cornerstone of causal discovery. However, the accuracy and execution time of learning algorithms generally struggle to scale to problems…

机器学习 · 计算机科学 2023-10-30 Bryan Andrews , Joseph Ramsey , Ruben Sanchez-Romero , Jazmin Camchong , Erich Kummerfeld

We consider the problem of learning a set of direct causes of a target variable from an observational joint distribution. Learning directed acyclic graphs (DAGs) that represent the causal structure is a fundamental problem in science.…

统计方法学 · 统计学 2025-06-24 Juraj Bodik , Valérie Chavez-Demoulin

Learning a faithful directed acyclic graph (DAG) from samples of a joint distribution is a challenging combinatorial problem, owing to the intractable search space superexponential in the number of graph nodes. A recent breakthrough…

机器学习 · 计算机科学 2019-04-24 Yue Yu , Jie Chen , Tian Gao , Mo Yu

The feed-forward relationship naturally observed in time-dependent processes and in a diverse number of real systems -such as some food-webs and electronic and neural wiring- can be described in terms of so-called directed acyclic graphs…

物理与社会 · 物理学 2015-05-19 Joaquín Goñi , Bernat Corominas-Murtra , Ricard V. Solé , Carlos Rodríguez-Caso

We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

机器学习 · 计算机科学 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

In causal graphical models based on directed acyclic graphs (DAGs), directed paths represent causal pathways between the corresponding variables. The variable at the beginning of such a path is referred to as an ancestor of the variable at…

机器学习 · 计算机科学 2021-05-24 Wenyu Chen , Mathias Drton , Ali Shojaie

In this article, the optimal sample complexity of learning the underlying interactions or dependencies of a Linear Dynamical System (LDS) over a Directed Acyclic Graph (DAG) is studied. We call such a DAG underlying an LDS as dynamical DAG…

机器学习 · 统计学 2024-04-02 Mishfad Shaikh Veedu , Deepjyoti Deka , Murti V. Salapaka

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

Acyclic model, often depicted as a directed acyclic graph (DAG), has been widely employed to represent directional causal relations among collected nodes. In this article, we propose an efficient method to learn linear non-Gaussian DAG in…

机器学习 · 统计学 2021-11-02 Ruixuan Zhao , Xin He , Junhui Wang

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

机器学习 · 统计学 2025-01-14 Jianian Wang , Rui Song

Estimating the structure of directed acyclic graphs (DAGs) from observational data remains a significant challenge in machine learning. Most research in this area concentrates on learning a single DAG for the entire population. This paper…

机器学习 · 统计学 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

We give methods for Bayesian inference of directed acyclic graphs, DAGs, and the induced causal effects from passively observed complete data. Our methods build on a recent Markov chain Monte Carlo scheme for learning Bayesian networks,…

机器学习 · 计算机科学 2020-11-19 Jussi Viinikka , Antti Hyttinen , Johan Pensar , Mikko Koivisto

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

Recently continuous relaxations have been proposed in order to learn Directed Acyclic Graphs (DAGs) from data by backpropagation, instead of using combinatorial optimization. However, a number of techniques for fully discrete…

机器学习 · 计算机科学 2022-10-28 Andrew J. Wren , Pasquale Minervini , Luca Franceschi , Valentina Zantedeschi

In this paper, we develop a new approach to learning high-dimensional Poisson directed acyclic graphical (DAG) models from only observational data without strong assumptions such as faithfulness and strong sparsity. A key component of our…

机器学习 · 统计学 2019-05-28 Gunwoong Park , Sion Park

We analyze the complexity of learning directed acyclic graphical models from observational data in general settings without specific distributional assumptions. Our approach is information-theoretic and uses a local Markov boundary search…

统计理论 · 数学 2021-11-23 Ming Gao , Bryon Aragam

Time series graphical models have recently received considerable attention for characterizing (conditional) dependence structures in multivariate time series. In many applications, the multivariate series exhibit variable-partitioned…

统计方法学 · 统计学 2026-04-09 Qin Fang , Xinghao Qiao , Zihan Wang

We introduce a novel class of labeled directed acyclic graph (LDAG) models for finite sets of discrete variables. LDAGs generalize earlier proposals for allowing local structures in the conditional probability distribution of a node, such…

机器学习 · 统计学 2014-11-12 Johan Pensar , Henrik Nyman , Timo Koski , Jukka Corander

We consider the problem of learning causal information between random variables in directed acyclic graphs (DAGs) when allowing arbitrarily many latent and selection variables. The FCI (Fast Causal Inference) algorithm has been explicitly…

统计方法学 · 统计学 2012-05-30 Diego Colombo , Marloes H. Maathuis , Markus Kalisch , Thomas S. Richardson

Estimation of differences in conditional independence graphs (CIGs) of two time series Gaussian graphical models (TSGGMs) is investigated where the two TSGGMs are known to have similar structure. The TSGGM structure is encoded in the…

机器学习 · 统计学 2025-12-09 Jitendra K Tugnait