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Reservoir computing systems rely on the recurrent multiplication of a very large, sparse, fixed matrix. We argue that direct spatial implementation of these fixed matrices minimizes the work performed in the computation, and allows for…

Hardware Architecture · Computer Science 2021-01-25 Matthew Denton , Herman Schmit

We present a highly scalable algorithm for multiplying sparse multivariate polynomials represented in a distributed format. This algo- rithm targets not only the shared memory multicore computers, but also computers clusters or specialized…

Symbolic Computation · Computer Science 2013-04-01 Mickael Gastineau , Jacques Laskar

Machine learning algorithms have enabled computers to predict things by learning from previous data. The data storage and processing power are increasing rapidly, thus increasing machine learning and Artificial intelligence applications.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Muhammad Fahad Saleem

Matrix engines or units, in different forms and affinities, are becoming a reality in modern processors; CPUs and otherwise. The current and dominant algorithmic approach to Deep Learning merits the commercial investments in these units,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Jens Domke , Emil Vatai , Aleksandr Drozd , Peng Chen , Yosuke Oyama , Lingqi Zhang , Shweta Salaria , Daichi Mukunoki , Artur Podobas , Mohamed Wahib , Satoshi Matsuoka

In recommendation systems, practitioners observed that increase in the number of embedding tables and their sizes often leads to significant improvement in model performances. Given this and the business importance of these models to major…

Machine Learning · Computer Science 2020-10-26 Jie Amy Yang , Jianyu Huang , Jongsoo Park , Ping Tak Peter Tang , Andrew Tulloch

In this paper we introduce a generic model for multiplicative algorithms which is suitable for the MapReduce parallel programming paradigm. We implement three typical machine learning algorithms to demonstrate how similarity comparison,…

Data Structures and Algorithms · Computer Science 2011-12-05 Song Liu , Peter Flach , Nello Cristianini

General matrix-matrix multiplications with double-precision real and complex entries (DGEMM and ZGEMM) in vendor-supplied BLAS libraries are best optimized for square matrices but often show bad performance for tall & skinny matrices, which…

Mathematical Software · Computer Science 2020-06-25 Dominik Ernst , Georg Hager , Jonas Thies , Gerhard Wellein

KBLAS is a new open source high performance library that provides optimized kernels for a subset of Level 2 BLAS functionalities on CUDA-enabled GPUs. Since performance of dense matrix-vector multiplication is hindered by the overhead of…

Mathematical Software · Computer Science 2014-10-08 Ahmad Abdelfattah , David Keyes , Hatem Ltaief

We present a parallel hierarchical solver for general sparse linear systems on distributed-memory machines. For large-scale problems, this fully algebraic algorithm is faster and more memory-efficient than sparse direct solvers because it…

Numerical Analysis · Mathematics 2017-12-21 Chao Chen , Hadi Pouransari , Sivasankaran Rajamanickam , Erik G. Boman , Eric Darve

Many problems in scientific and engineering applications contain sparse matrices or graphs as main input objects, e.g. numerical simulations on meshes. Large inputs are abundant these days and require parallel processing for memory size and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-23 Charilaos Tzovas , Maria Predari , Henning Meyerhenke

Neural networks have proven to be extremely powerful tools for modern artificial intelligence applications, but computational and storage complexity remain limiting factors. This paper presents two compatible contributions towards reducing…

Machine Learning · Computer Science 2024-10-30 Sourya Dey , Kuan-Wen Huang , Peter A. Beerel , Keith M. Chugg

Emerging computing architectures such as near-memory computing (NMC) promise improved performance for applications by reducing the data movement between CPU and memory. However, detecting such applications is not a trivial task. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-19 Stefano Corda , Gagandeep Singh , Ahsan Javed Awan , Roel Jordans , Henk Corporaal

The transition from standard generative AI to \emph{reasoning-centric architectures}, exemplified by models capable of extensive Chain-of-Thought~(CoT) processing, marks a fundamental paradigm shift in system requirements. Unlike…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Moiz Arif , Avinash Maurya , Sudharshan Vazhkudai , Bogdan Nicolae

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

Using a low-dimensional parametrization of signals is a generic and powerful way to enhance performance in signal processing and statistical inference. A very popular and widely explored type of dimensionality reduction is sparsity; another…

Statistics Theory · Mathematics 2020-04-02 Benjamin Aubin , Bruno Loureiro , Antoine Maillard , Florent Krzakala , Lenka Zdeborová

A new generation of manycore processors is on the rise that offers dozens and more cores on a chip and, in a sense, fuses host processor and accelerator. In this paper we target the efficient training of generalized linear models on these…

Performance · Computer Science 2021-10-29 Eliza Wszola , Celestine Mendler-Dünner , Martin Jaggi , Markus Püschel

In this paper, we focus on three sparse matrix operations that are relevant for machine learning applications, namely, the sparse-dense matrix multiplication (SPMM), the sampled dense-dense matrix multiplication (SDDMM), and the composition…

Machine Learning · Computer Science 2023-11-02 Mohammad Zubair , Christoph Bauinger

Matrix multiplication is the dominant computation during Machine Learning (ML) inference. To efficiently perform such multiplication operations, Compute-in-memory (CiM) paradigms have emerged as a highly energy efficient solution. However,…

Hardware Architecture · Computer Science 2025-03-03 Tanvi Sharma , Mustafa Ali , Indranil Chakraborty , Kaushik Roy

The new generation of machine learning processors have evolved from multi-core and parallel architectures that were designed to efficiently implement matrix-vector-multiplications (MVMs). This is because at the fundamental level, neural…

Machine Learning · Computer Science 2020-11-06 Nazreen P. M. , Shantanu Chakrabartty , Chetan Singh Thakur

Edge computing's growing prominence, due to its ability to reduce communication latency and enable real-time processing, is promoting the rise of high-performance, heterogeneous System-on-Chip solutions. While current approaches often…

Artificial Intelligence · Computer Science 2024-09-24 Rakshith Jayanth , Neelesh Gupta , Viktor Prasanna