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Causal structure learning, also known as causal discovery, aims to estimate causal relationships between variables as a form of a causal directed acyclic graph (DAG) from observational data. One of the major frameworks is the order-based…

机器学习 · 统计学 2026-02-18 Kentaro Kanamori , Hirofumi Suzuki , Takuya Takagi

Learning the underlying Bayesian Networks (BNs), represented by directed acyclic graphs (DAGs), of the concerned events from purely-observational data is a crucial part of evidential reasoning. This task remains challenging due to the large…

机器学习 · 统计学 2023-02-20 Danru Xu , Erdun Gao , Wei Huang , Menghan Wang , Andy Song , Mingming Gong

Learning the structure of dependence relations between variables is a pervasive issue in the statistical literature. A directed acyclic graph (DAG) can represent a set of conditional independences, but different DAGs may encode the same set…

统计方法学 · 统计学 2021-02-15 Federico Castelletti , Stefano Peluso

We present a consistent and highly scalable local approach to learn the causal structure of a linear Gaussian polytree using data from interventional experiments with known intervention targets. Our methods first learn the skeleton of the…

机器学习 · 统计学 2023-11-09 D. Tramontano , L. Waldmann , M. Drton , E. Duarte

Generating realistic graph-structured data is challenging due to discrete structures, variable sizes, and class-specific connectivity patterns that resist conventional generative modelling. While recent graph generation methods employ…

机器学习 · 计算机科学 2026-02-02 Seyedeh Ava Razi Razavi , James Sargant , Sheridan Houghten , Renata Dividino

Finding a directed acyclic graph (DAG) that best encodes the conditional independence statements observable from data is a central question within causality. Algorithms that greedily transform one candidate DAG into another given a fixed…

统计理论 · 数学 2022-09-02 Svante Linusson , Petter Restadh , Liam Solus

Learning from data that contain missing values represents a common phenomenon in many domains. Relatively few Bayesian Network structure learning algorithms account for missing data, and those that do tend to rely on standard approaches…

机器学习 · 计算机科学 2022-05-23 Yang Liu , Anthony C. Constantinou

The chain graph model admits both undirected and directed edges in one graph, where symmetric conditional dependencies are encoded via undirected edges and asymmetric causal relations are encoded via directed edges. Though frequently…

统计方法学 · 统计学 2024-01-29 Ruixuan Zhao , Haoran Zhang , Junhui Wang

Representation learning on graphs, also called graph embedding, has demonstrated its significant impact on a series of machine learning applications such as classification, prediction and recommendation. However, existing work has largely…

机器学习 · 计算机科学 2022-06-28 Yifan Hou , Hongzhi Chen , Changji Li , James Cheng , Ming-Chang Yang

A novel and detailed convergence analysis is presented for a greedy algorithm that was previously introduced for operator reconstruction problems in the field of quantum mechanics. This algorithm is based on an offline/online decomposition…

最优化与控制 · 数学 2020-11-02 S Buchwald , G Ciaramella , Julien Salomon

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

机器学习 · 统计学 2026-04-24 Stella Huang , Qing Zhou

We address the problem of learning the topology of directed acyclic graphs (DAGs) from nodal observations, which adhere to a linear structural equation model. Recent advances framed the combinatorial DAG structure learning task as a…

机器学习 · 计算机科学 2024-09-13 Samuel Rey , Seyed Saman Saboksayr , Gonzalo Mateos

We consider the problem of recovering the causal structure underlying observations from different experimental conditions when the targets of the interventions in each experiment are unknown. We assume a linear structural causal model with…

统计方法学 · 统计学 2025-03-13 Juan L. Gamella , Armeen Taeb , Christina Heinze-Deml , Peter Bühlmann

In a nonparametric setting, the causal structure is often identifiable only up to Markov equivalence, and for the purpose of causal inference, it is useful to learn a graphical representation of the Markov equivalence class (MEC). In this…

机器学习 · 统计学 2022-06-20 Xinwei Shen , Shengyu Zhu , Jiji Zhang , Shoubo Hu , Zhitang Chen

To address the weight coupling problem, certain studies introduced few-shot Neural Architecture Search (NAS) methods, which partition the supernet into multiple sub-supernets. However, these methods often suffer from computational…

机器学习 · 计算机科学 2025-06-23 Wenhao Song , Xuan Wu , Bo Yang , You Zhou , Yubin Xiao , Yanchun Liang , Hongwei Ge , Heow Pueh Lee , Chunguo Wu

In this paper, we study the exact learning problem for weighted graphs, where we are given the vertex set, $V$, of a weighted graph, $G=(V,E,w)$, but we are not given $E$. The problem, which is also known as graph reconstruction, is to…

数据结构与算法 · 计算机科学 2025-11-20 Michael T. Goodrich , Songyu Liu , Ioannis Panageas

Recursive linear structural equation models and the associated directed acyclic graphs (DAGs) play an important role in causal discovery. The classic identifiability result for this class of models states that when only observational data…

统计理论 · 数学 2023-08-21 Jun Wu , Mathias Drton

Similarity graphs are an active research direction for the nearest neighbor search (NNS) problem. New algorithms for similarity graph construction are continuously being proposed and analyzed by both theoreticians and practitioners.…

机器学习 · 计算机科学 2020-02-14 Dmitry Baranchuk , Artem Babenko

Although many algorithms have been designed to construct Bayesian network structures using different approaches and principles, they all employ only two methods: those based on independence criteria, and those based on a scoring function…

人工智能 · 计算机科学 2011-07-04 S. Acid , L. M. de Campos

This paper studies the discovery of approximate rules in property graphs. We propose a semantically meaningful measure of error for mining graph entity dependencies (GEDs) at almost hold, to tolerate errors and inconsistencies that exist in…