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We consider graphs that represent pairwise marginal independencies amongst a set of variables (for instance, the zero entries of a covariance matrix for normal data). We characterize the directed acyclic graphs (DAGs) that faithfully…

Artificial Intelligence · Computer Science 2015-08-04 Johannes Textor , Alexander Idelberger , Maciej Liśkiewicz

Transformer models have recently gained popularity in graph representation learning as they have the potential to learn complex relationships beyond the ones captured by regular graph neural networks. The main research question is how to…

Machine Learning · Computer Science 2023-10-31 Yuankai Luo , Veronika Thost , Lei Shi

In multivariate time series analysis, understanding the underlying causal relationships among variables is often of interest for various applications. Directed acyclic graphs (DAGs) provide a powerful framework for representing causal…

Methodology · Statistics 2025-07-30 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

Large Reasoning Models (LRMs) and Multi-Agent Systems (MAS) in high-stakes domains demand reliable verification, yet centralized approaches suffer four limitations: (1) Robustness, with single points of failure vulnerable to attacks and…

Artificial Intelligence · Computer Science 2026-05-01 Yu-Chao Huang , Zhen Tan , Mohan Zhang , Pingzhi Li , Zhuo Zhang , Tianlong Chen

This paper studies the problem of learning the correlation structure of a set of intervention functions defined on the directed acyclic graph (DAG) of a causal model. This is useful when we are interested in jointly learning the causal…

Machine Learning · Statistics 2020-09-29 Virginia Aglietti , Theodoros Damoulas , Mauricio Álvarez , Javier González

This paper answers a fundamental question in artificial neural network (ANN) design: We do not need to build ANNs layer-by-layer sequentially to guarantee the Directed Acyclic Graph (DAG) property. Drawing inspiration from biological…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Liangwei Yang , Hengrui Zhang , Zihe Song , Jiawei Zhang , Weizhi Zhang , Jing Ma , Philip S. Yu

Causal models in statistics are often described using acyclic directed mixed graphs (ADMGs), which contain directed and bidirected edges and no directed cycles. This article surveys various interpretations of ADMGs, discusses their…

Statistics Theory · Mathematics 2025-03-28 Qingyuan Zhao

To satisfy the increasing performance needs of modern cyber-physical systems, multiprocessor architectures are increasingly utilized. To efficiently exploit their potential parallelism in hard real-time systems, appropriate task models and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-26 Niklas Ueter , Mario Günzel , Georg von der Brüggen , Jian-Jia Chen

With the rapid advancement of blockchain technology, a significant trend is the adoption of Directed Acyclic Graphs (DAGs) as an alternative to traditional chain-based architectures for organizing ledger records. Systems like IOTA, which…

Cryptography and Security · Computer Science 2025-02-18 Seyyed Ali Aghamiri , Reza Sharifnia , Ahmad Khonsari

This paper introduces Nemo-Nemo, a practical crash-fault tolerant (CFT) consensus protocol designed to outperform existing protocols in wide-area networks by bridging design principles from the CFT and Byzantine-fault tolerant (BFT) worlds.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-13 Rithwik Kerur , Pasindu Tennage , Philipp Jovanovic , Dahlia Malkhi , Alberto Sonnino , Igor Zablotchi

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

Machine Learning · Statistics 2025-01-14 Jianian Wang , Rui Song

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…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

Consider the execution of a sequential algorithm that requires the program to converge to an optimal state, and then terminate/stutter. To design such an algorithm, we need to ensure that the state space that it traverses forms a directed…

Data Structures and Algorithms · Computer Science 2024-04-11 Arya Tanmay Gupta , Sandeep S Kulkarni

In many application areas---lending, education, and online recommenders, for example---fairness and equity concerns emerge when a machine learning system interacts with a dynamically changing environment to produce both immediate and…

Machine Learning · Computer Science 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

Directed acyclic graph (DAG) models, also called Bayesian networks, impose conditional independence constraints on a multivariate probability distribution, and are widely used in probabilistic reasoning, machine learning and causal…

Statistics Theory · Mathematics 2022-12-20 Robin J. Evans

This paper studies asymptotic consensus in systems in which agents do not necessarily have self-confidence, i.e., may disregard their own value during execution of the update rule. We show that the prevalent hypothesis of self-confidence in…

Dynamical Systems · Mathematics 2015-03-27 Thomas Nowak

Decentralized trust management is used as a referral benchmark for assisting decision making by human or intelligence machines in open collaborative systems. During any given period of time, each participant may only interact with a few of…

Social and Information Networks · Computer Science 2019-09-26 Xinxin Fan , Ling Liu , Rui Zhang , Quanliang Jing , Jingping Bi

We study the asymptotic properties of distributed consensus algorithms over switching directed random networks. More specifically, we focus on consensus algorithms over independent and identically distributed, directed random graphs, where…

Multiagent Systems · Computer Science 2010-04-21 Victor M. Preciado , Alireza Tahbaz-Salehi , Ali Jadbabaie

In distributed ledger technologies (DLTs) with a directed acyclic graph (DAG) data structure, a block-issuing node can decide where to append new blocks and, consequently, how the DAG grows. This DAG data structure is typically decomposed…

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

Machine Learning · Statistics 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham