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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

Background: In epidemiology, causal inference and prediction modeling methodologies have been historically distinct. Directed Acyclic Graphs (DAGs) are used to model a priori causal assumptions and inform variable selection strategies for…

统计方法学 · 统计学 2020-07-03 Marco Piccininni , Stefan Konigorski , Jessica L Rohmann , Tobias Kurth

Bayesian networks are widely used to learn and reason about the dependence structure of discrete variables. However, they are only capable of formally encoding symmetric conditional independence, which in practice is often too strict to…

人工智能 · 计算机科学 2023-01-03 Manuele Leonelli , Gherardo Varando

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 this work, we are interested in structure learning for a set of spatially distributed dynamical systems, where individual subsystems are coupled via latent variables and observed through a filter. We represent this model as a directed…

人工智能 · 计算机科学 2016-11-03 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

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

We consider distributions arising from a mixture of causal models, where each model is represented by a directed acyclic graph (DAG). We provide a graphical representation of such mixture distributions and prove that this representation…

机器学习 · 统计学 2020-08-11 Basil Saeed , Snigdha Panigrahi , Caroline Uhler

We develop a framework for learning sparse nonparametric directed acyclic graphs (DAGs) from data. Our approach is based on a recent algebraic characterization of DAGs that led to a fully continuous program for score-based learning of DAG…

机器学习 · 统计学 2020-03-25 Xun Zheng , Chen Dan , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

Modeling dependence in high dimensional systems has become an increasingly important topic. Most approaches rely on the assumption of a multivariate Gaussian distribution such as statistical models on directed acyclic graphs (DAGs). They…

统计方法学 · 统计学 2016-12-01 Dominik Müller , Claudia Czado

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

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 causal discovery offers the power to quantify epistemic uncertainties among a broad range of structurally diverse causal theories potentially explaining the data, represented in forms of directed acyclic graphs (DAGs). However,…

机器学习 · 计算机科学 2024-08-30 Nu Hoang , Bao Duong , Thin Nguyen

The paper concerns the problem of predicting the effect of actions or interventions on a system from a combination of (i) statistical data on a set of observed variables, and (ii) qualitative causal knowledge encoded in the form of a…

人工智能 · 计算机科学 2012-07-02 Carlos Brito , Judea Pearl

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

We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursive structural equation model (SEM) with the associated…

统计理论 · 数学 2025-08-05 Anamitra Chaudhuri , Anirban Bhattacharya , Yang Ni

Causal representation learning algorithms discover lower-dimensional representations of data that admit a decipherable interpretation of cause and effect; as achieving such interpretable representations is challenging, many causal learning…

机器学习 · 计算机科学 2023-11-09 Elise Walker , Jonas A. Actor , Carianne Martinez , Nathaniel Trask

Directed Acyclic Graphs (DAGs) are solid structures used to describe and infer the dependencies among variables in multivariate scenarios. Having a thorough comprehension of the accurate DAG-generating model is crucial for causal discovery…

统计方法学 · 统计学 2024-09-09 S. Nazari , M. Arashi , A. Sadeghkhani

Recovering the underlying Directed Acyclic Graph (DAG) structures from observational data presents a formidable challenge, partly due to the combinatorial nature of the DAG-constrained optimization problem. Recently, researchers have…

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