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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

Graph-structured data ubiquitously appears in science and engineering. Graph neural networks (GNNs) are designed to exploit the relational inductive bias exhibited in graphs; they have been shown to outperform other forms of neural networks…

机器学习 · 计算机科学 2021-02-03 Veronika Thost , Jie Chen

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

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

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

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

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

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

Predicting answers to queries over knowledge graphs is called a complex reasoning task because answering a query requires subdividing it into subqueries. Existing query embedding methods use this decomposition to compute the embedding of a…

数据库 · 计算机科学 2025-02-26 Yunjie He , Bo Xiong , Daniel Hernández , Yuqicheng Zhu , Evgeny Kharlamov , Steffen Staab

Mainly motivated by the problem of modelling directional dependence relationships for multivariate count data in high-dimensional settings, we present a new algorithm, called learnDAG, for learning the structure of directed acyclic graphs…

统计方法学 · 统计学 2024-06-10 Thi Kim Hue Nguyen , Monica Chiogna , Davide Risso

We consider a cost sharing problem on a weighted directed acyclic graph (DAG) with a source node to which all the other nodes want to connect. The cost (weight) of each edge is private information reported by multiple contractors, and among…

计算机科学与博弈论 · 计算机科学 2023-11-16 Tianyi Zhang , Dengji Zhao , Junyu Zhang , Sizhe Gu

Since the inception of blockchain and Bitcoin (Nakamoto (2008)), a decentralized-distributed ledger system and its associated cryptocurrency, respectively, the world has witnessed a slew of newer adaptations and applications. Although the…

分布式、并行与集群计算 · 计算机科学 2019-01-15 Jinwook Lee , Paul Moon Sub Choi

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

Several blockchain consensus protocols proposed to use of Directed Acyclic Graphs (DAGs) to solve the limited processing throughput of traditional single-chain Proof-of-Work (PoW) blockchains. Many such protocols utilize a random…

密码学与安全 · 计算机科学 2023-05-29 Martin Perešíni , Ivan Homoliak , Federico Matteo Benčić , Martin Hrubý , Kamil Malinka

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

Directed acyclic graphs (DAGs) are a popular framework to express multivariate probability distributions. Acyclic directed mixed graphs (ADMGs) are generalizations of DAGs that can succinctly capture much richer sets of conditional…

机器学习 · 统计学 2010-09-01 Ricardo Silva , Charles Blundell , Yee Whye Teh

Recent progress in large language models has renewed interest in how multi-step reasoning is represented internally. While prior work often treats reasoning as a linear chain, many reasoning problems are more naturally modeled as directed…

计算与语言 · 计算机科学 2026-04-07 Tianjun Zhong , Linyang He , Nima Mesgarani

Blockchain is maintained as a global log between a network of nodes and uses cryptographic distributed protocols to synchronize the updates. As adopted by Bitcoin and Ethereum these update operations to the ledger are serialized, and…

密码学与安全 · 计算机科学 2019-10-25 Himanshu Gupta , Dharanipragada Janakiram

In this paper we present a feedback approach to the design of an attack mitigation policy for DAG-based Distributed Ledgers. We develop a model to analyse the behaviour of the ledger under the so called Tips Inflation Attack and we design a…

系统与控制 · 电气工程与系统科学 2022-04-26 Pietro Ferraro , Andreas Penzkofer , Christopher King , Robert Shorten

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