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We describe a new paradigm for implementing inference in belief networks, which consists of two steps: (1) compiling a belief network into an arithmetic expression called a Query DAG (Q-DAG); and (2) answering queries using a simple…

Artificial Intelligence · Computer Science 2009-09-25 A. Darwiche , G. Provan

This paper proposes a novel, algorithm-independent approach to optimizing belief network inference. rather than designing optimizations on an algorithm by algorithm basis, we argue that one should use an unoptimized algorithm to generate a…

Artificial Intelligence · Computer Science 2013-02-08 Adnan Darwiche , Gregory M. Provan

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

There has been a growing interest in causal learning in recent years. Commonly used representations of causal structures, including Bayesian networks and structural equation models (SEM), take the form of directed acyclic graphs (DAGs). We…

Machine Learning · Computer Science 2025-11-20 Pavel Rytir , Ales Wodecki , Jakub Marecek

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

In this paper, we propose a novel inference method for dynamic genetic networks which makes it possible to face with a number of time measurements n much smaller than the number of genes p. The approach is based on the concept of low order…

Statistics Theory · Mathematics 2009-05-29 Sophie Lèbre

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…

Computation and Language · Computer Science 2026-04-07 Tianjun Zhong , Linyang He , Nima Mesgarani

Directed acyclic graphs (DAGs) serve as crucial data representations in domains such as hardware synthesis and compiler/program optimization for computing systems. DAG generative models facilitate the creation of synthetic DAGs, which can…

Machine Learning · Computer Science 2025-03-04 Mufei Li , Viraj Shitole , Eli Chien , Changhai Man , Zhaodong Wang , Srinivas Sridharan , Ying Zhang , Tushar Krishna , Pan Li

Directed acyclic graphs (DAGs) are frequently used in epidemiology as a method to encode causal inference assumptions. We propose the DAGWOOD framework to bring many of those encoded assumptions to the forefront. DAGWOOD combines a root DAG…

Methodology · Statistics 2021-11-25 Noah A Haber , Mollie E Wood , Sarah Wieten , Alexander Breskin

Bayesian belief networks can be used to represent and to reason about complex systems with uncertain, incomplete and conflicting information. Belief networks are graphs encoding and quantifying probabilistic dependence and conditional…

Artificial Intelligence · Computer Science 2013-03-08 Carlos Rojas-Guzman , Mark A. Kramer

Reasoning about the effect of interventions and counterfactuals is a fundamental task found throughout the data sciences. A collection of principles, algorithms, and tools has been developed for performing such tasks in the last decades…

Methodology · Statistics 2023-02-08 Tara V. Anand , Adèle H. Ribeiro , Jin Tian , Elias Bareinboim

Graph-based Retrieval-Augmented Generation (RAG) systems leverage interconnected knowledge structures to capture complex relationships that flat retrieval struggles with, enabling multi-hop reasoning. Yet most existing graph-based methods…

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…

Machine Learning · Computer Science 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

A recent approach to building consensus protocols on top of Directed Acyclic Graphs (DAGs) shows much promise due to its simplicity and stable throughput. However, as each node in the DAG typically includes a linear number of references to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Michael Anoprenko , Andrei Tonkikh , Alexander Spiegelman , Petr Kuznetsov , Anatoliy Zinovyev , Konstantin Shprenger

Social science theories often postulate causal relationships among a set of variables or events. Although directed acyclic graphs (DAGs) are increasingly used to represent these theories, their full potential has not yet been realized in…

Machine Learning · Statistics 2024-01-17 Sourabh Balgi , Adel Daoud , Jose M. Peña , Geoffrey T. Wodtke , Jesse Zhou

Directed Acyclic Graphs (DAGs) are widely used to represent structured knowledge in scientific and technical domains. However, datasets for real-world DAGs remain scarce because constructing them typically requires expert interpretation of…

Artificial Intelligence · Computer Science 2026-03-27 Shu Wan , Saketh Vishnubhatla , Iskander Kushbay , Tom Heffernan , Aaron Belikoff , Raha Moraffah , Huan Liu

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…

Machine Learning · Computer Science 2019-04-24 Yue Yu , Jie Chen , Tian Gao , Mo Yu

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

Methodology · Statistics 2024-02-20 Pablo Geraldo Bastías

An increasing number of applications require real-time reasoning under uncertainty with streaming input. The temporal (dynamic) Bayes net formalism provides a powerful representational framework for such applications. However, existing…

Artificial Intelligence · Computer Science 2013-01-07 Masami Takikawa , Bruce D'Ambrosio , Ed Wright

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse
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