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Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

Shared resource interference is observed by applications as dynamic performance asymmetry. Prior art has developed approaches to reduce the impact of performance asymmetry mainly at the operating system and architectural levels. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-24 Jing Chen , Pirah Noor Soomro , Mustafa Abduljabbar , Madhavan Manivannan , Miquel Pericas

Dense linear algebra libraries, such as BLAS and LAPACK, provide a relevant collection of numerical tools for many scientific and engineering applications. While there exist high performance implementations of the BLAS (and LAPACK)…

Mathematical Software · Computer Science 2015-11-09 Sandra Catalán , José R. Herrero , Francisco D. Igual , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

Emerging non-volatile main memory (NVRAM) technologies provide byte-addressability, low idle power, and improved memory-density, and are likely to be a key component in the future memory hierarchy. However, a critical challenge in achieving…

Data Structures and Algorithms · Computer Science 2019-08-22 Guy E. Blleloch , Yan Gu

As the Moore's scaling era comes to an end, application specific hardware accelerators appear as an attractive way to improve the performance and power efficiency of our computing systems. A massively heterogeneous system with a large…

Operating Systems · Computer Science 2019-07-02 Kartik Hegde , Abhishek Srivastava , Rohit Agrawal

Presented with a new machine with a specific interconnect topology, algorithm designers use intuition about the symmetry of the algorithm to design time and communication-efficient schedules that map the algorithm to the machine. Is there a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Harsha Vardhan Simhadri

This paper advocates for an intertwined design of the dense linear algebra software stack that breaks down the strict barriers between the high-level, blocked algorithms in LAPACK (Linear Algebra PACKage) and the low-level,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-01 Héctor Martínez , Sandra Catalán , Francisco D. Igual , José R. Herrero , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

In this paper we describe HeSP, a complete simulation framework to study a general task scheduling-partitioning problem on heterogeneous architectures, which treats recursive task partitioning and scheduling decisions on equal footing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-18 Anton Rey , Francisco D. Igual , Manuel Prieto-Matías

It is well known that the behavior of dense linear algebra algorithms is greatly influenced by factors like target architecture, underlying libraries and even problem size; because of this, the accurate prediction of their performance is a…

Mathematical Software · Computer Science 2012-12-11 Elmar Peise , Paolo Bientinesi

We study the problem of executing an application represented by a precedence task graph on a parallel machine composed of standard computing cores and accelerators. Contrary to most existing approaches, we distinguish the allocation and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-20 Marcos Amaris , Giorgio Lucarelli , Clément Mommessin , Denis Trystram

Asymmetric multicore processors (AMPs) have recently emerged as an appealing technology for severely energy-constrained environments, especially in mobile appliances where heterogeneity in applications is mainstream. In addition, given the…

This paper studies the use of kernel density estimation (KDE) for linear algebraic tasks involving the kernel matrix of a collection of $n$ data points in $\mathbb R^d$. In particular, we improve upon existing algorithms for computing the…

Data Structures and Algorithms · Computer Science 2026-03-05 Rikhav Shah , Sandeep Silwal , Haike Xu

Parametric linear programming is a central operation for polyhedral computations, as well as in certain control applications.Here we propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.This type…

Computational Geometry · Computer Science 2020-10-01 Camille Coti , David Monniaux , Hang Yu

This dissertation introduces measurement-based performance modeling and prediction techniques for dense linear algebra algorithms. As a core principle, these techniques avoid executions of such algorithms entirely, and instead predict their…

Performance · Computer Science 2017-06-06 Elmar Peise

Growing power dissipation due to high performance requirement of processor suggests multicore processor technology, which has become the technology for present and next decade. Research advocates asymmetric multi-core processor system for…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-15 Alan David

Applications in science and engineering often require huge computational resources for solving problems within a reasonable time frame. Parallel supercomputers provide the computational infrastructure for solving such problems. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajesh Sudarsan , Calvin J. Ribbens

The tremendous increase in the size and heterogeneity of supercomputers makes it very difficult to predict the performance of a scheduling algorithm. Therefore, dynamic solutions, where scheduling decisions are made at runtime have…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-16 Olivier Beaumont , Loris Marchal

This report showcases the role of, and future directions for, the field of Randomized Numerical Linear Algebra (RNLA) in a selection of scientific applications. These applications span the domains of imaging, genomics and dynamical systems,…

Dense and sparse tensors allow the representation of most bulk data structures in computational science applications. We show that sparse tensor algebra can also be used to express many of the transformations on these datasets, especially…

Mathematical Software · Computer Science 2015-12-02 Edgar Solomonik , Torsten Hoefler

Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-17 Alexandros Nikolaos Ziogas , Grzegorz Kwasniewski , Tal Ben-Nun , Timo Schneider , Torsten Hoefler
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