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Large-scale floating-point matrix multiplication is a fundamental kernel in many scientific and engineering applications. Most existing work only focus on accelerating matrix multiplication on FPGA by adopting a linear systolic array. This…

Hardware Architecture · Computer Science 2018-03-13 Junzhong Shen , Yuran Qiao , You Huang , Mei Wen , Chunyuan Zhang

Sparse tensor algebra is challenging to efficiently parallelize due to the irregular, data-dependent, and potentially skewed structure of sparse computation. We propose the first partitioning algorithm that provably load balances the…

Programming Languages · Computer Science 2026-04-23 Atharva Chougule , Alexander J Root , Rubens Lacouture , Bobby Yan , Rohan Yadav , Fredrik Kjolstad

HipMCL is a high-performance distributed memory implementation of the popular Markov Cluster Algorithm (MCL) and can cluster large-scale networks within hours using a few thousand CPU-equipped nodes. It relies on sparse matrix computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-26 Oguz Selvitopi , Md Taufique Hussain , Ariful Azad , Aydın Buluç

The parallel simulation of Spiking Neural P systems is mainly based on a matrix representation, where the graph inherent to the neural model is encoded in an adjacency matrix. The simulation algorithm is based on a matrix-vector…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-09 Javier Hernández-Tello , Miguel Ángel Martínez-del-Amor , David Orellana-Martín , Francis George C. Cabarle

The Knights Landing (KNL) is the codename for the latest generation of Intel processors based on Intel Many Integrated Core (MIC) architecture. It relies on massive thread and data parallelism, and fast on-chip memory. This processor…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-06 Enrico Calore , Alessandro Gabbana , Sebastiano Fabio Schifano , Raffaele Tripiccione

Machine learning is increasingly used to improve decisions within branch-and-bound algorithms for mixed-integer programming. Many existing approaches rely on deep learning, which often requires very large training datasets and substantial…

Machine Learning · Computer Science 2026-04-02 Selin Bayramoğlu , George L Nemhauser , Nikolaos V Sahinidis

To preserve data privacy, multi-party computation (MPC) enables executing Machine Learning (ML) algorithms on private data. However, MPC frameworks do not include optimized operations on sparse data. This absence makes them unsuitable for…

Cryptography and Security · Computer Science 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

Performance · Computer Science 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris

Network pruning can reduce the high computation cost of deep neural network (DNN) models. However, to maintain their accuracies, sparse models often carry randomly-distributed weights, leading to irregular computations. Consequently, sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-01 Cong Guo , Bo Yang Hsueh , Jingwen Leng , Yuxian Qiu , Yue Guan , Zehuan Wang , Xiaoying Jia , Xipeng Li , Minyi Guo , Yuhao Zhu

The latest trends in high-performance computing systems show an increasing demand on the use of a large scale multicore systems in a efficient way, so that high compute-intensive applications can be executed reasonably well. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-25 Juliana M. N. Silva , Cristina Boeres , Lúcia M. A. Drummond , Artur A. Pessoa

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in scientific computing, graph analytics, and machine learning, whose performance is often constrained by memory bandwidth. In this work, we investigate the applicability…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Matthew Qian , Yahia Ramadan , Suhita Anubha , Ariful Azad

Multiplication of two sparse matrices is a key operation in the simulation of the electronic structure of systems containing thousands of atoms and electrons. The highly optimized sparse linear algebra library DBCSR (Distributed Block…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-13 Iain Bethune , Andeas Gloess , Juerg Hutter , Alfio Lazzaro , Hans Pabst , Fiona Reid

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

This paper presents the Neural Cache architecture, which re-purposes cache structures to transform them into massively parallel compute units capable of running inferences for Deep Neural Networks. Techniques to do in-situ arithmetic in…

Hardware Architecture · Computer Science 2018-05-11 Charles Eckert , Xiaowei Wang , Jingcheng Wang , Arun Subramaniyan , Ravi Iyer , Dennis Sylvester , David Blaauw , Reetuparna Das

The multiplication of a sparse matrix with a dense vector (SpMV) is a key component in many numerical schemes and its performance is known to be severely limited by main memory access. Several numerical schemes require the multiplication of…

Numerical Analysis · Mathematics 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

We present a method for parallel block-sparse matrix-matrix multiplication on distributed memory clusters. By using a quadtree matrix representation, data locality is exploited without prior information about the matrix sparsity pattern. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-12 Emanuel H. Rubensson , Elias Rudberg

We propose different implementations of the sparse matrix--dense vector multiplication (\spmv{}) for finite fields and rings $\Zb/m\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-09 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

Second order stationary models in time series analysis are based on the analysis of essential statistics whose computations follow a common pattern. In particular, with a map-reduce nomenclature, most of these operations can be modeled as…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-23 Francois Belletti , Evan Sparks , Michael Franklin , Alexandre M. Bayen

Matrix Factorization (MF) has been widely applied in machine learning and data mining. A large number of algorithms have been studied to factorize matrices. Among them, stochastic gradient descent (SGD) is a commonly used method.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-30 Yuanhang Yu , Dong Wen , Ying Zhang , Xiaoyang Wang , Wenjie Zhang , Xuemin Lin

The Kernel Polynomial Method (KPM) is a well-established scheme in quantum physics and quantum chemistry to determine the eigenvalue density and spectral properties of large sparse matrices. In this work we demonstrate the high optimization…

Computational Engineering, Finance, and Science · Computer Science 2015-07-30 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Andreas Pieper , Andreas Alvermann , Holger Fehske