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We approach the problem of implementing mixed-datatype support within the general matrix multiplication (GEMM) operation of the BLIS framework, whereby each matrix operand A, B, and C may be stored as single- or double-precision real or…

Mathematical Software · Computer Science 2019-05-03 Field G. Van Zee , Devangi N. Parikh , Robert A. van de Geijn

Matrix-matrix multiplication is a key computational kernel for numerous applications in science and engineering, with ample parallelism and data locality that lends itself well to high-performance implementations. Many matrix…

Hardware Architecture · Computer Science 2019-06-12 Yaman Umuroglu , Davide Conficconi , Lahiru Rasnayake , Thomas B. Preusser , Magnus Sjalander

Among ML operators today, GEneralMatrix Multiplication (GEMM)-based operators are known to be key operators that build the main backbone of ML models. As their computational overhead dominates the overall execution time (e.g., 42.8% - 96.6%…

Hardware Architecture · Computer Science 2025-04-17 Rachid Karami , Sheng-Chun Kao , Hyoukjun Kwon

Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Jennifer A. Loe , Christian A. Glusa , Ichitaro Yamazaki , Erik G. Boman , Sivasankaran Rajamanickam

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…

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

As users and developers, we are witnessing the opening of a new computing scenario: the introduction of hybrid processors into a single die, such as an accelerated processing unit (APU) processor, and the plug-and-play of additional…

Mathematical Software · Computer Science 2012-05-15 Paolo D'Alberto

Arbitrary-precision integer multiplication is the core kernel of many applications in simulation, cryptography, etc. Existing acceleration of arbitrary-precision integer multiplication includes CPUs, GPUs, FPGAs, and ASICs. Among these…

Hardware Architecture · Computer Science 2023-09-22 Zhuoping Yang , Jinming Zhuang , Jiaqi Yin , Cunxi Yu , Alex K. Jones , Peipei Zhou

Graph analytics techniques based on spectral methods process extremely large sparse matrices with millions or even billions of non-zero values. Behind these algorithms lies the Top-K sparse eigenproblem, the computation of the largest…

Hardware Architecture · Computer Science 2022-01-20 Francesco Sgherzi , Alberto Parravicini , Marco Domenico Santambrogio

The growing demand for efficient, high-performance processing in machine learning (ML) and image processing has made hardware accelerators, such as GPUs and Data Streaming Accelerators (DSAs), increasingly essential. These accelerators…

Hardware Architecture · Computer Science 2025-04-17 Qunyou Liu , Marina Zapater , David Atienza

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

Sparse general matrix multiplication (SpGEMM) is a fundamental building block for many real-world applications. Since SpGEMM is a well-known memory-bounded application with vast and irregular memory accesses, considering the memory access…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-22 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Hongzhong Zheng , Yuan Xie

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

In this paper we propose a mixed precision algorithm in the context of the semi-Lagrangian discontinuous Galerkin method. The performance of this approach is evaluated on a traditional dual socket workstation as well as on a Xeon Phi and an…

Mathematical Software · Computer Science 2018-08-14 Lukas Einkemmer

The vision of super computer at every desk can be realized by powerful and highly parallel CPUs or GPUs or APUs. Graphics processors once specialized for the graphics applications only, are now used for the highly computational intensive…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-16 Chittampally Vasanth Raja , Srinivas Balasubramanian , Prakash S Raghavendra

As the demand for AI computation rapidly increases, more hardware is being developed to efficiently perform the low-precision matrix multiplications required by such workloads. However, these operations are generally not directly applicable…

Performance · Computer Science 2025-09-26 Daichi Mukunoki

Processing-In-Memory (PIM) architectures offer a promising approach to accelerate Graph Neural Network (GNN) training and inference. However, various PIM devices such as ReRAM, FeFET, PCM, MRAM, and SRAM exist, with each device offering…

DL inference queries play an important role in diverse internet services and a large fraction of datacenter cycles are spent on processing DL inference queries. Specifically, the matrix-matrix multiplication (GEMM) operations of…

Hardware Architecture · Computer Science 2020-12-02 Benjamin Y. Cho , Jeageun Jung , Mattan Erez

The importance of general matrix multiplication (GEMM) is motivating new instruction set extensions for multiplying dense matrices in almost all contemporary ISAs, and these extensions are often implemented using high-performance systolic…

Hardware Architecture · Computer Science 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten

We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan
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