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Recent advances in reasoning models have demonstrated significant improvements in accuracy by employing detailed and comprehensive reasoning processes. However, generating these lengthy reasoning sequences is computationally expensive and…

Computation and Language · Computer Science 2025-08-27 Yijiong Yu

Using (a,b)-trees as an example, we show how to perform a parallel split with logarithmic latency and parallel join, bulk updates, intersection, union (or merge), and (symmetric) set difference with logarithmic latency and with information…

Data Structures and Algorithms · Computer Science 2016-05-12 Yaroslav Akhremtsev , Peter Sanders

Stochastic Processing Networks (SPNs) can be used to model communication networks, manufacturing systems, service systems, etc. We consider a real-time SPN where tasks generate jobs with strict deadlines according to their traffic patterns.…

Networking and Internet Architecture · Computer Science 2012-04-23 I-Hong Hou , Rahul Singh

A Multinomial Processing Tree (MPT) is a directed tree with a probability associated with each arc. Here we consider an additional parameter associated with each arc, a measure such as the time required to select the arc. MPTs are often…

Applications · Statistics 2020-08-06 Richard Schweickert , Xiaofang Zheng

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

We have developed a task-parallel runtime system, called TREES, that is designed for high performance on CPU/GPU platforms. On platforms with multiple CPUs, Cilk's "work-first" principle underlies how task-parallel applications can achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-03 Blake A. Hechtman , Andrew D. Hilton , Daniel J. Sorin

Many modern applications require real-time processing of large volumes of high-speed data. Such data processing needs can be modeled as a streaming computation. A streaming computation is specified as a dataflow graph that exposes multiple…

Databases · Computer Science 2018-04-02 Guna Prasaad , G. Ramalingam , Kaushik Rajan

In this paper, we proposed an effective approach for scheduling of multiprocessor unit time tasks with chain precedence on to large multiprocessor system. The proposed longest chain maximum processor scheduling algorithm is proved to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-14 T. K. Agrawal , R. Sharma , M. Ghose , A. Sahu

The scheduling of task graphs with communication delays has been extensively studied. Recently, new results for the common sub-case of fork-join shaped task graphs were published, including an EPTAS and polynomial algorithms for special…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-06 Huijun Wang , Oliver Sinnen

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

Data Structures and Algorithms · Computer Science 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

The main goal of parallel processing is to provide users with performance that is much better than that of single processor systems. The execution of jobs is scheduled, which requires certain resources in order to meet certain criteria.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-07 Yang Cao , Fei Wu , Thomas Robertazzi

As multicore systems continue to gain ground in the High Performance Computing world, linear algebra algorithms have to be reformulated or new algorithms have to be developed in order to take advantage of the architectural features on these…

Numerical Analysis · Mathematics 2008-08-12 Alfredo Buttari , Julien Langou , Jakub Kurzak , Jack Dongarra

We consider the multiple traveling salesman problem on a weighted tree. In this problem there are $m$ salesmen located at the root initially. Each of them will visit a subset of vertices and return to the root. The goal is to assign a tour…

Data Structures and Algorithms · Computer Science 2019-02-25 Lin Chen , Daniel Marx

This paper presents a new algorithm for the fast, shared memory, multi-core computation of augmented contour trees on triangulations. In contrast to most existing parallel algorithms our technique computes augmented trees, enabling the full…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-14 Charles Gueunet , P. Fortin , J Jomier , J Tierny

We present a shared memory implementation of a parallel algorithm, called delta-stepping, for solving the single source shortest path problem for directed and undirected graphs. In order to reduce synchronization costs we make some…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-21 M. Kranjčević , D. Palossi , S. Pintarelli

Scheduling query execution plans is a particularly complex problem in shared-nothing parallel systems, where each site consists of a collection of local time-shared (e.g., CPU(s) or disk(s)) and space-shared (e.g., memory) resources and…

Databases · Computer Science 2014-04-01 Minos Garofalakis , Yannis Ioannidis

We study the problem of scheduling $n$ independent moldable tasks on $m$ processors that arises in large-scale parallel computations. When tasks are monotonic, the best known result is a $(\frac{3}{2}+\epsilon)$-approximation algorithm for…

Data Structures and Algorithms · Computer Science 2023-03-30 Xiaohu Wu , Patrick Loiseau

Identifying clusters of similar elements in a set is a common task in data analysis. With the immense growth of data and physical limitations on single processor speed, it is necessary to find efficient parallel algorithms for clustering…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-09 Mélanie Cambus , Davin Choo , Havu Miikonen , Jara Uitto

A recent work shows how we can optimize a tree based mode of operation for a hash function where the sizes of input message blocks and digest are the same, subject to the constraint that the involved tree structure has all its leaves at the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-28 Kevin Atighehchi

The evolution of the Internet and computer applications have generated colossal amount of data. They are referred to as Big Data and they consist of huge volume, high velocity, and variable datasets that need to be managed at the right…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-13 Youssef Bassil
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