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Directed Acyclic Graphs (DAGs) provide a powerful framework to model causal relationships among variables in multivariate settings; in addition, through the do-calculus theory, they allow for the identification and estimation of causal…

机器学习 · 统计学 2022-01-31 Federico Castelletti , Alessandro Mascaro

Heretofore, learning the directed acyclic graphs (DAGs) that encode the cause-effect relationships embedded in observational data is a computationally challenging problem. A recent trend of studies has shown that it is possible to recover…

机器学习 · 计算机科学 2023-07-18 Bao Duong , Thin Nguyen

A growing body of work has begun to study intervention design for efficient structure learning of causal directed acyclic graphs (DAGs). A typical setting is a causally sufficient setting, i.e. a system with no latent confounders, selection…

We study multivariate Gaussian statistical models whose maximum likelihood estimator (MLE) is a rational function of the observed data. We establish a one-to-one correspondence between such models and the solutions to a nonlinear…

Causal representation learning aims to recover the latent causal variables and their causal relations, typically represented by directed acyclic graphs (DAGs), from low-level observations such as image pixels. A prevailing line of research…

机器学习 · 计算机科学 2026-04-28 Ignavier Ng , Shaoan Xie , Xinshuai Dong , Peter Spirtes , Kun Zhang

We study the problem of efficiently recovering the matching between an unlabelled collection of $n$ points in $\mathbb{R}^d$ and a small random perturbation of those points. We consider a model where the initial points are i.i.d. standard…

数据结构与算法 · 计算机科学 2021-07-13 Dmitriy Kunisky , Jonathan Niles-Weed

Conventional methods for causal structure learning from data face significant challenges due to combinatorial search space. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint to…

机器学习 · 计算机科学 2022-06-06 Hristo Petkov , Colin Hanley , Feng Dong

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

机器学习 · 计算机科学 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

Causal structure learning has long been the central task of inferring causal insights from data. Despite the abundance of real-world processes exhibiting higher-order mechanisms, however, an explicit treatment of interactions in causal…

机器学习 · 计算机科学 2025-11-07 James Enouen , Yujia Zheng , Ignavier Ng , Yan Liu , Kun Zhang

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

This paper proposes a novel multi-agent reinforcement learning (MARL) method to learn multiple coordinated agents under directed acyclic graph (DAG) constraints. Unlike existing MARL approaches, our method explicitly exploits the DAG…

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

The combinatorial search space presents a significant challenge to learning causality from data. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint, allowing for the exploration…

机器学习 · 计算机科学 2022-04-04 Hristo Petkov , Colin Hanley , Feng Dong

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

机器学习 · 统计学 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham

Learning the structure of directed acyclic graphs (DAGs) from observational data is a central problem in causal discovery, statistical signal processing, and machine learning. Under a linear Gaussian structural equation model (SEM) with…

机器学习 · 计算机科学 2026-05-27 Hamed Ajorlou , Samuel Rey , Gonzalo Mateos , Geert Leus , Antonio G. Marques

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

Structural learning, which aims to learn directed acyclic graphs (DAGs) from observational data, is foundational to causal reasoning and scientific discovery. Recent advancements formulate structural learning into a continuous optimization…

机器学习 · 计算机科学 2023-04-18 Song Wei , Yao Xie

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

We propose a continuous optimization framework for discovering a latent directed acyclic graph (DAG) from observational data. Our approach optimizes over the polytope of permutation vectors, the so-called Permutahedron, to learn a…

机器学习 · 计算机科学 2023-02-14 Valentina Zantedeschi , Luca Franceschi , Jean Kaddour , Matt J. Kusner , Vlad Niculae

We propose to address the task of causal structure learning from data in a supervised manner. Existing work on learning causal directions by supervised learning is restricted to learning pairwise relation, and not well suited for whole DAG…

机器学习 · 计算机科学 2020-06-09 Hebi Li , Qi Xiao , Jin Tian