English
Related papers

Related papers: Reducing Interpolation on Multi-Dimensional Grid t…

200 papers

With the increasing number of components and further miniaturization the mean time between faults in supercomputers will decrease. System level fault tolerance techniques are expensive and cost energy, since they are often based on…

Computational Engineering, Finance, and Science · Computer Science 2015-01-30 Markus Huber , Björn Gmeiner , Ulrich Rüde , Barbara Wohlmuth

The whole computer hardware industry embraced multicores. For these machines, the extreme optimisation of sequential algorithms is no longer sufficient to squeeze the real machine power, which can be only exploited via thread-level…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-21 Marco aldinucci , Salvatore Ruggieri , Massimo Torquati

We propose efficient parallel algorithms and implementations on shared memory architectures of LU factorization over a finite field. Compared to the corresponding numerical routines, we have identified three main difficulties specific to…

Symbolic Computation · Computer Science 2014-02-17 Jean-Guillaume Dumas , Thierry Gautier , Clément Pernet , Ziad Sultan

Heterogeneous many-cores are now an integral part of modern computing systems ranging from embedding systems to supercomputers. While heterogeneous many-core design offers the potential for energy-efficient high-performance, such potential…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Jianbin Fang , Chun Huang , Tao Tang , Zheng Wang

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

The computation of feedback control using Dynamic Programming equation is a difficult task due the curse of dimensionality. The tree structure algorithm is one the methods introduced recently that mitigate this problem. The method computes…

Numerical Analysis · Mathematics 2022-10-06 Alessandro Alla , Luca Saluzzi

We introduce Residue Hyperdimensional Computing, a computing framework that unifies residue number systems with an algebra defined over random, high-dimensional vectors. We show how residue numbers can be represented as high-dimensional…

Neural and Evolutionary Computing · Computer Science 2023-11-09 Christopher J. Kymn , Denis Kleyko , E. Paxon Frady , Connor Bybee , Pentti Kanerva , Friedrich T. Sommer , Bruno A. Olshausen

Structured kernel interpolation (SKI) accelerates Gaussian process (GP) inference by interpolating the kernel covariance function using a dense grid of inducing points, whose corresponding kernel matrix is highly structured and thus…

Machine Learning · Computer Science 2023-05-26 Mohit Yadav , Daniel Sheldon , Cameron Musco

Recent work showed that compiling functional programs to use dense, serialized memory representations for recursive algebraic datatypes can yield significant constant-factor speedups for sequential programs. But serializing data in a…

Programming Languages · Computer Science 2021-07-02 Chaitanya Koparkar , Mike Rainey , Michael Vollmer , Milind Kulkarni , Ryan R. Newton

Grid computing is a collection of computer resources that are gathered together from various areas to give computational resources such as storage, data or application services. This is to permit clients to access this huge measure of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Garba Aliyu , Kana A. F. D. , Abdullahi Mohammed , Idris Abdulmumin , Shehu Adamu , Fatsuma Jauro

Traditional parallel schedulers running on cluster supercomputers support only static scheduling, where the number of processors allocated to an application remains fixed throughout the execution of the job. This results in…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-15 Rajesh Sudarsan , Calvin J. Ribbens

Today's exponentially increasing data volumes and the high cost of storage make compression essential for the Big Data industry. Although research has concentrated on efficient compression, fast decompression is critical for analytics…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-03 Evangelia Sitaridi , Rene Mueller , Tim Kaldewey , Guy Lohman , Kenneth Ross

With the increasing number of compute components, failures in future exa-scale computer systems are expected to become more frequent. This motivates the study of novel resilience techniques. Here, we extend a recently proposed…

Mathematical Software · Computer Science 2018-04-18 Markus Huber , Ulrich Rüde , Barbara Wohlmuth

We show that a generalised sparse grid combination technique which combines multi-variate extrapolation of finite difference solutions with the standard combination formula lifts a second order accurate scheme on regular meshes to a fourth…

Numerical Analysis · Mathematics 2026-01-08 Julia Muñoz-Echániz , Christoph Reisinger

In this paper, we describe efficient MapReduce simulations of parallel algorithms specified in the BSP and PRAM models. We also provide some applications of these simulation results to problems in parallel computational geometry for the…

Data Structures and Algorithms · Computer Science 2015-03-14 Michael T. Goodrich

The kernel-based multi-scale method has been proven to be a powerful approximation method for scattered data approximation problems which is computationally superior to conventional kernel-based interpolation techniques. The multi-scale…

Numerical Analysis · Mathematics 2025-03-10 Federico Lot , Christian Rieger

Parallelism is a ubiquitous method for accelerating machine learning algorithms. However, theoretical analysis of parallel learning is usually done in an algorithm- and protocol-specific setting, giving little insight about how changes in…

Machine Learning · Computer Science 2020-06-09 Yucheng Lu , Jack Nash , Christopher De Sa

Calculating the correlation in a sliding window is a common method of statistical evaluation of the interconnect between two sets of data. And although the calculation of a single correlation coefficient is not resource-intensive and…

Data Structures and Algorithms · Computer Science 2018-07-18 Alexey Poyda , Mikhail Zhizhin

Large language model inference is both memory-intensive and time-consuming, often requiring distributed algorithms to efficiently scale. Various model parallelism strategies are used in multi-gpu training and inference to partition…

Parallelization techniques have become ubiquitous for accelerating inference and training of deep neural networks. Despite this, several operations are still performed in a sequential manner. For instance, the forward and backward passes…

Machine Learning · Computer Science 2023-10-30 Federico Danieli , Miguel Sarabia , Xavier Suau , Pau Rodríguez , Luca Zappella