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Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

机器学习 · 统计学 2024-05-27 Stephen Smith , Qing Zhou

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

机器学习 · 计算机科学 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

Due to its human-interpretability and invariance properties, Directed Acyclic Graph (DAG) has been a foundational tool across various areas of AI research, leading to significant advancements. However, DAG learning remains highly…

机器学习 · 计算机科学 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

This work addresses the problem of learning directed acyclic graphs (DAGs) from nodal observations generated by a linear structural equation model. DAG learning is a central task in signal processing, machine learning, and causal inference,…

机器学习 · 计算机科学 2026-05-20 Samuel Rey , Madeline navarro , Gonzalo Mateos

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

Existing deep embedding clustering works only consider the deepest layer to learn a feature embedding and thus fail to well utilize the available discriminative information from cluster assignments, resulting performance limitation. To this…

计算机视觉与模式识别 · 计算机科学 2022-12-27 Zhihao Peng , Hui Liu , Yuheng Jia , Junhui Hou

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

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

Estimating the structure of directed acyclic graphs (DAGs) of features (variables) plays a vital role in revealing the latent data generation process and providing causal insights in various applications. Although there have been many…

机器学习 · 计算机科学 2024-03-06 Shaohua Fan , Shuyang Zhang , Xiao Wang , Chuan Shi

Recently, structure learning of directed acyclic graphs (DAGs) has been formulated as a continuous optimization problem by leveraging an algebraic characterization of acyclicity. The constrained problem is solved using the augmented…

机器学习 · 计算机科学 2022-04-12 Ignavier Ng , Sébastien Lachapelle , Nan Rosemary Ke , Simon Lacoste-Julien , Kun Zhang

To date, most directed acyclic graphs (DAGs) structure learning approaches require data to be stored in a central server. However, due to the consideration of privacy protection, data owners gradually refuse to share their personalized raw…

机器学习 · 计算机科学 2023-01-18 Erdun Gao , Junjia Chen , Li Shen , Tongliang Liu , Mingming Gong , Howard Bondell

Directed acyclic graphs (DAGs) constitute a central modeling tool to enable principled reasoning about cause-effect interactions in complex systems. However, since the causal structure underlying a group of variables is often unknown and…

机器学习 · 统计学 2026-05-25 Gonzalo Mateos , Samuel Rey , Hamed Ajorlou , Mariano Tepper

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

机器学习 · 计算机科学 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji

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 consider the problem of learning the structure of a causal directed acyclic graph (DAG) model in the presence of latent variables. We define latent factor causal models (LFCMs) as a restriction on causal DAG models with latent variables,…

统计方法学 · 统计学 2022-07-06 Chandler Squires , Annie Yun , Eshaan Nichani , Raj Agrawal , Caroline Uhler

Causal discovery amounts to learning a directed acyclic graph (DAG) that encodes a causal model. This model selection problem can be challenging due to its large combinatorial search space, particularly when dealing with non-parametric…

机器学习 · 统计学 2024-08-21 Yurou Liang , Oleksandr Zadorozhnyi , Mathias Drton

Directed Acyclic Graphs (DAGs) are a standard tool in causal modeling, but their suitability for capturing the complexity of large-scale multimodal data is questionable. In practice, real-world multimodal datasets are often collected from…

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

Federated learning (FL) aims to collaboratively train a global model while ensuring client data privacy. However, FL faces challenges from the non-IID data distribution among clients. Clustered FL (CFL) has emerged as a promising solution,…

机器学习 · 计算机科学 2023-08-28 Xiaofeng Xue , Haokun Mao , Qiong Li

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
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