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We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

This paper presents a practical GPU-accelerated convex hull algorithm and a novel Sorting-based Preprocessing Approach (SPA) for planar point sets. The proposed algorithm consists of two stages: (1) two rounds of preprocessing performed on…

Computational Geometry · Computer Science 2016-05-24 Gang Mei

Contraction Hierarchies is a successful speedup-technique to Dijkstra's seminal shortest path algorithm that has a convenient trade-off between preprocessing and query times. We investigate a shared-memory parallel implementation that uses…

Data Structures and Algorithms · Computer Science 2012-08-14 Dennis Luxen , Dennis Schieferdecker

Lazy search algorithms have been developed to efficiently solve planning problems in domains where the computational effort is dominated by the cost of edge evaluation. The existing algorithms operate by intelligently balancing…

Robotics · Computer Science 2023-01-16 Shohin Mukherjee , Sandip Aine , Maxim Likhachev

General trends in computer architecture are shifting more towards parallelism. Multicore architectures have proven to be a major step in processor evolution. With the advancement in multicore architecture, researchers are focusing on…

Hardware Architecture · Computer Science 2019-10-22 Arsalan Shahid , Muhammad Tayyab , Muhammad Yasir Qadri , Nadia N. Qadri , Jameel Ahmed

In this paper, two accelerated divide-and-conquer algorithms are proposed for the symmetric tridiagonal eigenvalue problem, which cost $O(N^2r)$ {flops} in the worst case, where $N$ is the dimension of the matrix and $r$ is a modest number…

Numerical Analysis · Computer Science 2015-10-16 Shengguo Li , Xiangke Liao , Jie Liu , Hao Jiang

To account for the randomness of propagation channels and interference levels in hierarchical spectrum sharing, a novel approach to multihop routing is introduced for cognitive random access networks, whereby packets are randomly routed…

Optimization and Control · Mathematics 2012-07-05 Emiliano Dall'Anese , Georgios B. Giannakis

In this paper, we proposed an effective and efficient multi-core shared-cache design optimization approach based on reuse-distance analysis of the data traces of target applications. Since data traces are independent of system hardware…

Performance · Computer Science 2021-09-13 Hsin-Yu Ho , Ren-Song Tsay

We consider space-bounded computations on a random-access machine (RAM) where the input is given on a read-only random-access medium, the output is to be produced to a write-only sequential-access medium, and the available workspace allows…

Data Structures and Algorithms · Computer Science 2015-10-27 Omar Darwish , Amr Elmasry , Jyrki Katajainen

Finding the convex hull is a fundamental problem in computational geometry. Quickhull is a fast algorithm for finding convex hulls. In this paper, we present VQhull, a fast parallel implementation of Quickhull that exploits vector…

Computational Geometry · Computer Science 2025-10-13 Thomas Koopman , Jordy Aaldering , Bernard van Gastel , Sven-Bodo Scholz

Oblivious routing is an attractive paradigm for large distributed systems in which centralized control and frequent reconfigurations are infeasible or undesired (e.g., costly). Over the last almost 20 years, much progress has been made in…

Networking and Internet Architecture · Computer Science 2018-12-27 Harald Räcke , Stefan Schmid

We consider the problem of sampling $n$ numbers from the range $\{1,\ldots,N\}$ without replacement on modern architectures. The main result is a simple divide-and-conquer scheme that makes sequential algorithms more cache efficient and…

Data Structures and Algorithms · Computer Science 2019-11-18 Peter Sanders , Sebastian Lamm , Lorenz Hübschle-Schneider , Emanuel Schrade , Carsten Dachsbacher

We present a cache-oblivious adaptation of matrix multiplication to be incorporated in the parallel TU decomposition for rectangular matrices over finite fields, based on the Morton-hybrid space-filling curve representation. To realise…

Numerical Analysis · Computer Science 2017-05-16 Fatima K. Abu Salem , Mira Al Arab

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-03 Lev Kazakovtsev

The present paper is concerned with a recursive algorithm as a preprocessing step to find the convex hull of $n$ random points uniformly distributed in the plane. For such a set of points, it is shown that eliminating all but $O(\log n)$ of…

Data Structures and Algorithms · Computer Science 2024-03-19 Mohammad Heydari , Ashkan Khalifeh

Multicore shared cache processors pose a challenge for designers of embedded systems who try to achieve minimal and predictable execution time of workloads consisting of several jobs. To address this challenge the cache is statically…

Data Structures and Algorithms · Computer Science 2012-11-26 Avinatan Hassidim , Haim Kaplan , Omry Tuval

We consider the problem of scheduling arrivals to a congestion system with a finite number of users having identical deterministic demand sizes. The congestion is of the processor sharing type in the sense that all users in the system at…

Optimization and Control · Mathematics 2017-04-12 Liron Ravner , Yoni Nazarathy

In-network caching is recognized as an effective solution to offload content servers and the network. A cache service provider (SP) always has incentives to better utilize its cache resources by taking into account diverse roles that…

Networking and Internet Architecture · Computer Science 2017-12-12 Weibo Chu , Mostafa Dehghan , John C. S. Lui , Don Towsley , Zhi-Li Zhang

We study exploration in stochastic multi-armed bandits when we have access to a divisible resource that can be allocated in varying amounts to arm pulls. We focus in particular on the allocation of distributed computing resources, where we…

Machine Learning · Computer Science 2021-06-08 Brijen Thananjeyan , Kirthevasan Kandasamy , Ion Stoica , Michael I. Jordan , Ken Goldberg , Joseph E. Gonzalez

The computation of a peeling order in a randomly generated hypergraph is the most time-consuming step in a number of constructions, such as perfect hashing schemes, random $r$-SAT solvers, error-correcting codes, and approximate set…

Data Structures and Algorithms · Computer Science 2013-12-03 Djamal Belazzougui , Paolo Boldi , Giuseppe Ottaviano , Rossano Venturini , Sebastiano Vigna