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In this paper we describe a generic scheme for the parallel exploration of directed acyclic graphs starting from one or more `roots' of the graph. Our scheme is designed for graphs with the following properties, (i) discovering neighbors at…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-13 Rahul Prabhu , Amit Verma , Meera Sitharam

With the rapid advancement of Artificial Intelligence, the Graphics Processing Unit (GPU) has become increasingly essential across a growing number of safety-critical application domains. Applying a GPU is indispensable for parallel…

Operating Systems · Computer Science 2026-02-25 Yuanhai Zhang , Songyang He , Ruizhe Gou , Mingyue Cui , Boyang Li , Shuai Zhao , Kai Huang

Parallel real-time embedded applications can be modelled as directed acyclic graphs (DAGs) whose nodes model subtasks and whose edges model precedence constraints among subtasks. Efficiently scheduling such parallel tasks can be challenging…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-24 Shardul Lendve , Konstantinos Bletsas , Pedro F. Souto

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…

Machine Learning · Statistics 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

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

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

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

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…

Machine Learning · Statistics 2018-11-06 Xun Zheng , Bryon Aragam , Pradeep Ravikumar , Eric P. Xing

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,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

We consider the PC-algorithm Spirtes et. al. (2000) for estimating the skeleton of a very high-dimensional acyclic directed graph (DAG) with corresponding Gaussian distribution. The PC-algorithm is computationally feasible for sparse…

Statistics Theory · Mathematics 2007-06-13 Markus Kalisch , Peter Buehlmann

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

A growing number of applications like probabilistic machine learning, sparse linear algebra, robotic navigation, etc., exhibit irregular data flow computation that can be modeled with directed acyclic graphs (DAGs). The irregularity arises…

Hardware Architecture · Computer Science 2022-10-25 Nimish Shah , Wannes Meert , Marian Verhelst

In this paper we introduce the first efficient external-memory algorithm to compute the bisimilarity equivalence classes of a directed acyclic graph (DAG). DAGs are commonly used to model data in a wide variety of practical applications,…

Data Structures and Algorithms · Computer Science 2018-03-05 Jelle Hellings , George H. L. Fletcher , Herman Haverkort

We study a graph partition problem where we are given a directed acyclic graph (DAG) whose vertices and arcs can be respectively regarded as tasks and dependencies among tasks. The objective of the problem is to minimize the total energy…

Data Structures and Algorithms · Computer Science 2024-09-17 Wei Liu , Jian-Jia Chen , Yongjie Yang

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

Machine Learning · Computer Science 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji

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

This paper considers the problem of estimating the structure of multiple related directed acyclic graph (DAG) models. Building on recent developments in exact estimation of DAGs using integer linear programming (ILP), we present an ILP…

Machine Learning · Statistics 2014-11-13 Chris J. Oates , Jim Q. Smith , Sach Mukherjee , James Cussens

Directed acyclic graph (DAG) models are widely used to represent causal relationships among random variables in many application domains. This paper studies a special class of non-Gaussian DAG models, where the conditional variance of each…

Machine Learning · Statistics 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

Learning the structure of Directed Acyclic Graphs (DAGs) presents a significant challenge due to the vast combinatorial search space of possible graphs, which scales exponentially with the number of nodes. Recent advancements have redefined…

Machine Learning · Computer Science 2024-11-01 Klea Ziu , Slavomír Hanzely , Loka Li , Kun Zhang , Martin Takáč , Dmitry Kamzolov

Multiprocessor scheduling of hard real-time tasks modeled by directed acyclic graphs (DAGs) exploits the inherent parallelism presented by the model. For DAG tasks, a node represents a request to execute an object on one of the available…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-02 Corey Tessler , Venkata P. Modekurthy , Nathan Fisher , Abusayeed Saifullah
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