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Directed acyclic graphs (DAGs) are a class of graphs commonly used in practice, with examples that include electronic circuits, Bayesian networks, and neural architectures. While many effective encoders exist for DAGs, it remains…

机器学习 · 计算机科学 2025-05-30 Michael Sun , Orion Foo , Gang Liu , Wojciech Matusik , Jie Chen

Analogous to regular string and tree languages, regular languages of directed acyclic graphs (DAGs) are defined in the literature. Although called regular, those DAG-languages are more powerful and, consequently, standard problems have a…

形式语言与自动机理论 · 计算机科学 2024-09-12 Yvo Ad Meeres

The modeling of conversational context plays a vital role in emotion recognition from conversation (ERC). In this paper, we put forward a novel idea of encoding the utterances with a directed acyclic graph (DAG) to better model the…

计算与语言 · 计算机科学 2021-09-17 Weizhou Shen , Siyue Wu , Yunyi Yang , Xiaojun Quan

Graph structured data are abundant in the real world. Among different graph types, directed acyclic graphs (DAGs) are of particular interest to machine learning researchers, as many machine learning models are realized as computations on…

机器学习 · 计算机科学 2019-10-30 Muhan Zhang , Shali Jiang , Zhicheng Cui , Roman Garnett , Yixin Chen

Semantic parses are directed acyclic graphs (DAGs), so semantic parsing should be modeled as graph prediction. But predicting graphs presents difficult technical challenges, so it is simpler and more common to predict the linearized graphs…

计算与语言 · 计算机科学 2019-10-22 Federico Fancellu , Sorcha Gilroy , Adam Lopez , Mirella Lapata

Probabilistic graphical models are graphical representations of probability distributions. Graphical models have applications in many fields including biology, social sciences, linguistic, neuroscience. In this paper, we propose directed…

机器学习 · 统计学 2014-06-10 Ru Wang , Jie Peng

Directed Acyclic Graphical (DAG) models efficiently formulate causal relationships in complex systems. Traditional DAGs assume nodes to be scalar variables, characterizing complex systems under a facile and oversimplified form. This paper…

统计方法学 · 统计学 2024-04-23 Tian Lan , Ziyue Li , Junpeng Lin , Zhishuai Li , Lei Bai , Man Li , Fugee Tsung , Rui Zhao , Chen Zhang

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

Semantic representations in the form of directed acyclic graphs (DAGs) have been introduced in recent years, and to model them, we need probabilistic models of DAGs. One model that has attracted some attention is the DAG automaton, but it…

形式语言与自动机理论 · 计算机科学 2019-04-09 Ieva Vasiljeva , Sorcha Gilroy , Adam Lopez

In image labeling, local representations for image units are usually generated from their surrounding image patches, thus long-range contextual information is not effectively encoded. In this paper, we introduce recurrent neural networks…

计算机视觉与模式识别 · 计算机科学 2015-11-24 Bing Shuai , Zhen Zuo , Gang Wang , Bing Wang

Bayesian networks represent relations between variables using a directed acyclic graph (DAG). Learning the DAG is an NP-hard problem and exact learning algorithms are feasible only for small sets of variables. We propose two scalable…

机器学习 · 计算机科学 2021-07-02 Pierre Gillot , Pekka Parviainen

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

机器学习 · 统计学 2024-03-26 Ali Shojaie , Wenyu Chen

Directed acyclic graphical models (DAGs) are often used to describe common structural properties in a family of probability distributions. This paper addresses the question of classifying DAGs up to an isomorphism. By considering Gaussian…

信息论 · 计算机科学 2014-12-24 Hajir Roozbehani , Yury Polyanskiy

Estimating the structure of directed acyclic graphs (DAGs, also known as Bayesian networks) is a challenging problem since the search space of DAGs is combinatorial and scales superexponentially with the number of nodes. Existing approaches…

机器学习 · 统计学 2018-11-06 Xun Zheng , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

机器学习 · 计算机科学 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

We develop a novel convolutional architecture tailored for learning from data defined over directed acyclic graphs (DAGs). DAGs can be used to model causal relationships among variables, but their nilpotent adjacency matrices pose unique…

机器学习 · 计算机科学 2024-05-07 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

The assumed causal relationships depicted in a DAG are interpreted using a set of rules called D-separation rules. Although these rules can be implemented automatically using standard software, at least a basic understanding of their…

统计方法学 · 统计学 2025-02-20 Fernando Pires Hartwig , Timothy Feeney , Neil Davies

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

Engelfriet and Vereijken have shown that linear graph grammars based on hyperedge replacement generate graph languages that can be considered as interpretations of regular string languages over typed symbols. In this paper we show that…

形式语言与自动机理论 · 计算机科学 2025-03-27 Frank Drewes , Berthold Hoffmann , Mark Minas

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
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