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Tile low rank representations of dense matrices partition them into blocks of roughly uniform size, where each off-diagonal tile is compressed and stored as its own low rank factorization. They offer an attractive representation for many…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-27 Wajih Boukaram , Stefano Zampini , George Turkiyyah , David Keyes

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

In this article a fast and parallelizable algorithm for rational approximation is presented. The method, called (P)QR-AAA, is a (parallel) set-valued variant of the AAA algorithm for scalar functions. It builds on the set-valued AAA…

Numerical Analysis · Mathematics 2024-12-04 Simon Dirckx , Karl Meerbergen , Daan Huybrechs

Recent advances in computer architecture and networking opened the opportunity for parallelizing the clustering algorithms. This divide-and-conquer strategy often results in better results to centralized clustering with a much-improved time…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-15 Ahmed Ibrahim , Rokaya Hassanien

A fundamental problem when adding column pivoting to the Householder QR factorization is that only about half of the computation can be cast in terms of high performing matrix-matrix multiplications, which greatly limits the benefits that…

Numerical Analysis · Mathematics 2016-12-08 Per-Gunnar Martinsson , Gregorio Quintana-Orti , Nathan Heavner , Robert van de Geijn

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

This thesis develops signal-processing algorithms and implementation schemes under constraints of minimal parallelism and memory space, with the goal of improving energy efficiency of low-power computing hardware. We propose (i) a…

Signal Processing · Electrical Eng. & Systems 2025-12-30 Sergey Salishev

We discuss the opportunities for parallelization in the recently proposed QPALM-OCP algorithm, a solver tailored to quadratic programs arising in optimal control. A significant part of the computational work can be carried out independently…

Optimization and Control · Mathematics 2026-03-13 Pieter Pas , Kristoffer Fink Løwenstein , Daniele Bernardini , Panagiotis Patrinos

Motivated by the observation that FIFO-based push-relabel algorithms are able to outperform highest label-based variants on modern, large maximum flow problem instances, we introduce an efficient implementation of the algorithm that uses…

Data Structures and Algorithms · Computer Science 2015-07-27 Niklas Baumstark , Guy Blelloch , Julian Shun

One of the challenges of high granularity calorimeters, such as that to be built to cover the endcap region in the CMS Phase-2 Upgrade for HL-LHC, is that the large number of channels causes a surge in the computing load when clustering…

Instrumentation and Detectors · Physics 2020-01-29 Marco Rovere , Ziheng Chen , Antonio Di Pilato , Felice Pantaleo , Chris Seez

The Linear Combination of Unitaries (LCU) method is a powerful scheme for the block encoding of operators but suffers from high overheads. In this work, we discuss the parallelisation of LCU and in particular the SELECT subroutine of LCU…

Quantum Physics · Physics 2024-08-22 Gregory Boyd

Topic modeling is a very powerful technique in data analysis and data mining but it is generally slow. Many parallelization approaches have been proposed to speed up the learning process. However, they are usually not very efficient because…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-24 Hung Nghiep Tran , Atsuhiro Takasu

The factorization of skew-symmetric matrices is a critically understudied area of dense linear algebra, particularly in comparison to that of general and symmetric matrices. While some algorithms can be adapted from the symmetric case, the…

Mathematical Software · Computer Science 2026-05-06 Ishna Satyarth , Chao Yin , Devin A. Matthews , Maggie Myers , Robert van de Geijn , RuQing G. Xu

Nowadays, several industrial applications are being ported to parallel architectures. These applications take advantage of the potential parallelism provided by multiple core processors. Many-core processors, especially the GPUs(Graphics…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-28 Wendell Rodrigues , Frédéric Guyomarc'h , Jean-Luc Dekeyser

Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

The increasing use of heterogeneous embedded systems with multi-core CPUs and Graphics Processing Units (GPUs) presents important challenges in effectively exploiting pipeline, task and data-level parallelism to meet throughput requirements…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Shuoxin Lin , Jiahao Wu , Shuvra S. Bhattacharyya

Current high-performance computer systems used for scientific computing typically combine shared memory computational nodes in a distributed memory environment. Extracting high performance from these complex systems requires tailored…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-14 Afshin Zafari , Elisabeth Larsson , Martin Tillenius

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

Real-time scheduling and locking protocols are fundamental facilities to construct time-critical systems. For parallel real-time tasks, predictable locking protocols are required when concurrent sub-jobs mutually exclusive access to shared…

Operating Systems · Computer Science 2020-07-03 Maolin Yang , Zewei Chen , Xu Jiang , Nan Guan , Hang Lei

We present a shared-memory parallelization of flow-based refinement, which is considered the most powerful iterative improvement technique for hypergraph partitioning at the moment. Flow-based refinement works on bipartitions, so current…

Data Structures and Algorithms · Computer Science 2022-01-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders