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An encoding of directed acyclic graphs (DAGs) on labeled vertices is proposed, which is a generalisation of the Pr\"ufer code for labeled trees, if a certain orienation on the edges of the tree is introduced. Hence it is shown that the…

Combinatorics · Mathematics 2023-04-04 Zsófia Juhász

The recent works on causal discovery have followed a similar trend of learning partial ancestral graphs (PAGs) since observational data constrain the true causal directed acyclic graph (DAG) only up to a Markov equivalence class. This…

Machine Learning · Computer Science 2026-03-03 Tingrui Huang , Devendra Singh Dhami

Graphs are a ubiquitous data structure in diverse domains such as machine learning, social networks, and data mining. As real-world graphs continue to grow beyond the memory capacity of single machines, out-of-core graph processing systems…

Databases · Computer Science 2025-11-12 Dechuang Chen , Sibo Wang , Qintian Guo

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…

Machine Learning · Computer Science 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

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…

Machine Learning · Computer Science 2023-01-18 Erdun Gao , Junjia Chen , Li Shen , Tongliang Liu , Mingming Gong , Howard Bondell

Domain Adaptation (DA) has received widespread attention from deep learning researchers in recent years because of its potential to improve test accuracy with out-of-distribution labeled data. Most state-of-the-art DA algorithms require an…

Machine Learning · Computer Science 2022-05-27 Christopher Liao , Theodoros Tsiligkaridis , Brian Kulis

Comparing directed acyclic graphs is essential in various fields such as healthcare, social media, finance, biology, and marketing. DAGs often result from contagion processes over networks, including information spreading, retweet activity,…

Human-Computer Interaction · Computer Science 2024-08-31 Kathrin Guckes , Marc Schäpers , Margit Pohl , Andreas Kerren , Tatiana von Landesberger

Enumerating the directed acyclic graphs (DAGs) of a Markov equivalence class (MEC) is an important primitive in causal analysis. The central resource from the perspective of computational complexity is the delay, that is, the time an…

Artificial Intelligence · Computer Science 2023-12-19 Marcel Wienöbst , Malte Luttermann , Max Bannach , Maciej Liśkiewicz

Directed Acylic Graphs with a single entry vertex and a single exit vertex (st-DAGs) have many applications. For instance, they are frequently used for modelling flow problems or precedence conditions among tasks, work packages, etc.. This…

Discrete Mathematics · Computer Science 2026-03-30 Ulrich Vogl , Markus Siegle

Many real-world scientific workflows can be represented by a Directed Acyclic Graph (DAG), where each node represents a task and a directed edge signifies a dependency between two tasks. Due to the increasing computational resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-04 Atherve Tekawade , Suman Banerjee

Neural Architecture Search (NAS) has recently gained increased attention, as a class of approaches that automatically searches in an input space of network architectures. A crucial part of the NAS pipeline is the encoding of the…

Machine Learning · Computer Science 2021-08-18 Michail Chatzianastasis , George Dasoulas , Georgios Siolas , Michalis Vazirgiannis

Directed acyclic graphical models, or DAG models, are widely used to represent complex causal systems. Since the basic task of learning such a model from data is NP-hard, a standard approach is greedy search over the space of directed…

Statistics Theory · Mathematics 2021-06-09 Liam Solus , Yuhao Wang , Caroline Uhler

Origin-Destination Estimation plays an important role in the era of Intelligent Transportation. Nevertheless, as a under-determined problem, OD estimation confronts many challenges from cross-space inference to non-convex, non-linear…

Machine Learning · Computer Science 2022-08-24 Guanzhou Li , Yujing He , Jianping Wu , Duowei Li

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…

Databases · Computer Science 2025-02-26 Yunjie He , Bo Xiong , Daniel Hernández , Yuqicheng Zhu , Evgeny Kharlamov , Steffen Staab

In protocols with asymmetric trust, each participant is free to make its own individual trust assumptions about others, captured by an asymmetric quorum system. This contrasts with ordinary, symmetric quorum systems and with threshold…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-26 Ignacio Amores-Sesar , Christian Cachin , Juan Villacis , Luca Zanolini

Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

Machine Learning · Statistics 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

Regularization improves generalization of supervised models to out-of-sample data. Prior works have shown that prediction in the causal direction (effect from cause) results in lower testing error than the anti-causal direction. However,…

Machine Learning · Computer Science 2020-09-29 Trent Kyono , Yao Zhang , Mihaela van der Schaar

A well-studied challenge that arises in the structure learning problem of causal directed acyclic graphs (DAG) is that using observational data, one can only learn the graph up to a "Markov equivalence class" (MEC). The remaining undirected…

Machine Learning · Computer Science 2022-05-20 Vibhor Porwal , Piyush Srivastava , Gaurav Sinha

Artificial Neural Networks (ANNs), including fully-connected networks and transformers, are highly flexible and powerful function approximators, widely applied in fields like computer vision and natural language processing. However, their…

Machine Learning · Computer Science 2026-01-28 Matthew J. Vowels , Mathieu Rochat , Sina Akbari

We deal with the combinatorial problem of learning directed acyclic graph (DAG) structure from observational data adhering to a linear structural equation model (SEM). Leveraging advances in differentiable, nonconvex characterizations of…

Machine Learning · Computer Science 2024-03-14 Seyed Saman Saboksayr , Gonzalo Mateos , Mariano Tepper
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