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Arithmetic expression dags are widely applied in robust geometric computing. In this paper we restructure expression dags by balancing consecutive additions or multiplications. We predict an asymptotic improvement in running time and…

Computational Geometry · Computer Science 2026-04-15 Martin Wilhelm

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

Many algorithms, especially in the field of computational geometry, are based on the premise that arithmetic operations are performed exactly. Real machines are based on inexact floating-point arithmetic. Various number types have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 Martin Wilhelm

Real-time systems increasingly use multicore processors in order to satisfy thermal, power, and computational requirements. To exploit the architectural parallelism offered by the multicore processors, parallel task models, scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-28 Niklas Ueter , Mario Günzel , Jian-Jia Chen

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

As multicore hardware is becoming increasingly common in real-time systems, traditional scheduling techniques that assume a single worst-case execution time for a task are no longer adequate, since they ignore the impact of shared resources…

Operating Systems · Computer Science 2025-01-16 Robert Gifford , Abby Eisenklam , Georgiy A. Bondar , Yifan Cai , Tushar Sial , Linh Thi Xuan Phan , Abhishek Halder

Modern embedded systems have made the transition from single-core to multi-core architectures, providing performance improvement via parallelism rather than higher clock frequencies. DAGs are considered among the most generic task models in…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-05 José Marinho , Stefan M. Petters

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

A parallel direct solution approach based on domain decomposition method (DDM) and directed acyclic graph (DAG) scheduling is outlined. Computations are represented as a sequence of small tasks that operate on domains of DDM or dense matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-13 Javad Moshfegh , Dimitrios G. Makris , Marinos N. Vouvakis

We introduce Plan*RAG, a novel framework that enables structured multi-hop reasoning in retrieval-augmented generation (RAG) through test-time reasoning plan generation. While existing approaches such as ReAct maintain reasoning chains…

Computation and Language · Computer Science 2025-02-05 Prakhar Verma , Sukruta Prakash Midigeshi , Gaurav Sinha , Arno Solin , Nagarajan Natarajan , Amit Sharma

Computational protein structure determination involves optimization in a problem space much too large to exhaustively search. Existing approaches include optimization algorithms such as gradient descent and simulated annealing, but these…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Michael Bryson , Xijiang Miao , Homayoun Valafar

The efficient parallel execution of complex computations requires balancing the workload across processors while minimizing the communication between them. This inherent trade-off is often captured by graph partitioning or DAG scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-04 Pál András Papp , Toni Böhnlein , A. N. Yzelman

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

This paper considers the scheduling of parallel real-time tasks with arbitrary-deadlines. Each job of a parallel task is described as a directed acyclic graph (DAG). In contrast to prior work in this area, where decomposition-based…

Operating Systems · Computer Science 2017-12-15 Niklas Ueter , Georg von der Brüggen , Jian-Jia Chen , Jing Li , Kunal Agrawal

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

Algorithm parallelization to leverage multi-core platforms for improving the efficiency of Electronic Design Automation~(EDA) tools plays a significant role in enhancing the scalability of Integrated Circuit (IC) designs. Logic optimization…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-23 Ye Cai , Zonglin Yang , Liwei Ni , Junfeng Liu , Biwei Xie , Xingquan Li

Computation in several real-world applications like probabilistic machine learning, sparse linear algebra, and robotic navigation, can be modeled as irregular directed acyclic graphs (DAGs). The irregular data dependencies in DAGs pose…

Hardware Architecture · Computer Science 2021-12-13 Nimish Shah , Laura Isabel Galindez Olascoaga , Shirui Zhao , Wannes Meert , Marian Verhelst

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems.…

Numerical Analysis · Mathematics 2021-06-21 Stefano Berrone , Alice Raeli

3D Gaussian Splatting (3DGS) has recently gained significant attention for high-quality and efficient view synthesis, making it widely adopted in fields such as AR/VR, robotics, and autonomous driving. Despite its impressive algorithmic…

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern
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