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The combinatorial search space presents a significant challenge to learning causality from data. Recently, the problem has been formulated into a continuous optimization framework with an acyclicity constraint, allowing for the exploration…

Machine Learning · Computer Science 2022-04-04 Hristo Petkov , Colin Hanley , Feng Dong

In this article, we propose a new hypothesis testing method for directed acyclic graph (DAG). While there is a rich class of DAG estimation methods, there is a relative paucity of DAG inference solutions. Moreover, the existing methods…

Machine Learning · Statistics 2023-05-25 Chengchun Shi , Yunzhe Zhou , Lexin Li

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

Many applications like pointer analysis and incremental compilation require maintaining a topological ordering of the nodes of a directed acyclic graph (DAG) under dynamic updates. All known algorithms for this problem are either only…

Data Structures and Algorithms · Computer Science 2008-02-08 Deepak Ajwani , Tobias Friedrich

Directed acyclic graph (DAG) has been widely employed to represent directional relationships among a set of collected nodes. Yet, the available data in one single study is often limited for accurate DAG reconstruction, whereas heterogeneous…

Machine Learning · Statistics 2023-10-17 Mingyang Ren , Xin He , Junhui Wang

Optimization of directed acyclic graph (DAG) structures has many applications, such as neural architecture search (NAS) and probabilistic graphical model learning. Encoding DAGs into real vectors is a dominant component in most…

Machine Learning · Computer Science 2022-12-14 Zehao Dong , Muhan Zhang , Fuhai Li , Yixin Chen

The scheduling and schedulability analysis of real-time directed acyclic graph (DAG) task systems have received much recent attention. The DAG model can accurately represent intra-task parallelim and precedence constraints existing in many…

Operating Systems · Computer Science 2018-08-02 Zheng Dong , Cong Liu

Recently, a new class of non-convex optimization problems motivated by the statistical problem of learning an acyclic directed graphical model from data has attracted significant interest. While existing work uses standard first-order…

Machine Learning · Computer Science 2023-07-03 Chang Deng , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

One of the fundamental challenges to scale self-driving is being able to create accurate high definition maps (HD maps) with low cost. Current attempts to automate this process typically focus on simple scenarios, estimate independent maps…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Namdar Homayounfar , Wei-Chiu Ma , Justin Liang , Xinyu Wu , Jack Fan , Raquel Urtasun

Directed acyclic graph (DAG) tasks are currently adopted in the real-time domain to model complex applications from the automotive, avionics, and industrial domains that implement their functionalities through chains of intercommunicating…

Machine Learning · Computer Science 2024-01-12 Binqi Sun , Mirco Theile , Ziyuan Qin , Daniele Bernardini , Debayan Roy , Andrea Bastoni , Marco Caccamo

Capturing the underlying structural causal relations represented by Directed Acyclic Graphs (DAGs) has been a fundamental task in various AI disciplines. Causal DAG learning via the continuous optimization framework has recently achieved…

Machine Learning · Computer Science 2024-06-11 Naiyu Yin , Tian Gao , Yue Yu , Qiang Ji

Directed Acyclic Graphs (DAGs) are a standard tool in causal modeling, but their suitability for capturing the complexity of large-scale multimodal data is questionable. In practice, real-world multimodal datasets are often collected from…

Machine Learning · Computer Science 2026-03-03 Yuhang Liu , Zhen Zhang , Dong Gong , Erdun Gao , Biwei Huang , Mingming Gong , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

We study reachability and shortest paths problems in dynamic directed graphs. Whereas algebraic dynamic data structures supporting edge updates and reachability/distance queries have been known for quite a long time, they do not, in…

Data Structures and Algorithms · Computer Science 2022-04-01 Adam Karczmarz , Anish Mukherjee , Piotr Sankowski

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

Heterogeneous graphs generally refers to graphs with different types of nodes and edges. A common approach for extracting useful information from heterogeneous graphs is to use meta-graphs, which can be seen as a special kind of directed…

Machine Learning · Computer Science 2023-09-04 Hansi Yang , Peiyu Zhang , Quanming Yao

Bayesian network is a frequently-used method for fault detection and diagnosis in industrial processes. The basis of Bayesian network is structure learning which learns a directed acyclic graph (DAG) from data. However, the search space…

Artificial Intelligence · Computer Science 2023-02-07 Zhichao Chen , Zhiqiang Ge

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…

Machine Learning · Computer Science 2025-05-30 Michael Sun , Orion Foo , Gang Liu , Wojciech Matusik , Jie Chen

Structural learning, which aims to learn directed acyclic graphs (DAGs) from observational data, is foundational to causal reasoning and scientific discovery. Recent advancements formulate structural learning into a continuous optimization…

Machine Learning · Computer Science 2023-04-18 Song Wei , Yao Xie

We propose to address the task of causal structure learning from data in a supervised manner. Existing work on learning causal directions by supervised learning is restricted to learning pairwise relation, and not well suited for whole DAG…

Machine Learning · Computer Science 2020-06-09 Hebi Li , Qi Xiao , Jin Tian

Computation graphs are Directed Acyclic Graphs (DAGs) where the nodes correspond to mathematical operations and are used widely as abstractions in optimizations of neural networks. The device placement problem aims to identify optimal…