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Matrix factorization (MF) is employed by many popular algorithms, e.g., collaborative filtering. The emerging GPU technology, with massively multicore and high intra-chip memory bandwidth but limited memory capacity, presents an opportunity…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-25 Wei Tan , Liangliang Cao , Liana Fong

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

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

An efficient error reconciliation scheme is important for post-processing of quantum key distribution (QKD). Recently, a multi-matrix low-density parity-check codes based reconciliation algorithm which can provide remarkable perspectives…

Quantum Physics · Physics 2020-01-23 Yu Guo , Chaohui Gao , Dong Jiang , Lijun Chen

Modern accelerators like GPUs are increasingly executing independent operations concurrently to improve the device's compute utilization. However, effectively harnessing it on GPUs for important primitives such as general matrix…

Hardware Architecture · Computer Science 2024-09-05 Suchita Pati , Shaizeen Aga , Nuwan Jayasena , Matthew D. Sinclair

GPUs are known to be power-hungry, and due to the boom in artificial intelligence, they are currently the major contributors to the high power demands of upcoming datacenters. Most GPU usage in these popular workloads consist of large…

Artificial Intelligence · Computer Science 2024-09-30 Theo Gregersen , Pratyush Patel , Esha Choukse

Transformers have revolutionized deep learning with applications in natural language processing, computer vision, and beyond. However, their computational demands make it challenging to deploy them on low-power edge devices. This paper…

Hardware Architecture · Computer Science 2025-07-18 Rohit Prasad

Developing kernels for Processing-In-Memory (PIM) platforms poses unique challenges in data management and parallel programming on limited processing units. Although software development kits (SDKs) for PIM, such as the UPMEM SDK, provide…

Hardware Architecture · Computer Science 2025-10-21 Krystian Chmielewski , Jarosław Ławnicki , Uladzislau Lukyanau , Tadeusz Kobus , Maciej Maciejewski

General Matrix Multiplication (GEMM) is a critical kernel in high-performance computing and deep learning. While modern architectures like ARM's Scalable Matrix Extension (SME) introduce dedicated hardware for matrix operations, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Chencheng Deng , Weiling Yang , Jianbin Fang , Dezun Dong

We present a novel approach for accelerating convolutions during inference for CPU-based architectures. The most common method of computation involves packing the image into the columns of a matrix (im2col) and performing general matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Amir Ofir , Gil Ben-Artzi

We present an analysis on optimizing performance of a single C++11 source code using the Alpaka hardware abstraction library. For this we use the general matrix multiplication (GEMM) algorithm in order to show that compilers can optimize…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-12 Alexander Matthes , René Widera , Erik Zenker , Benjamin Worpitz , Axel Huebl , Michael Bussmann

Matrix multiplication computation acceleration has been a research hotspot across various domains. Due to the characteristics of some applications, approximate matrix multiplication can achieve significant performance improvements without…

Numerical Analysis · Mathematics 2024-05-28 Hongyaoxing Gu

Many of today's deep neural network accelerators, e.g., Google's TPU and NVIDIA's tensor core, are built around accelerating the general matrix multiplication (i.e., GEMM). However, supporting convolution on GEMM-based accelerators is not…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-11 Yangjie Zhou , Mengtian Yang , Cong Guo , Jingwen Leng , Yun Liang , Quan Chen , Minyi Guo , Yuhao Zhu

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

The sizes of GPU applications are rapidly growing. They are exhausting the compute and memory resources of a single GPU, and are demanding the move to multiple GPUs. However, the performance of these applications scales sub-linearly with…

Hardware Architecture · Computer Science 2020-08-11 Saiful A. Mojumder , Yifan Sun , Leila Delshadtehrani , Yenai Ma , Trinayan Baruah , José L. Abellán , John Kim , David Kaeli , Ajay Joshi

Sparse Ternary General Matrix-Matrix Multiplication (GEMM) remains under-optimized in existing libraries for Apple Silicon CPUs. We present a Sparse Ternary GEMM kernel optimized specifically for Apple's M-series processors. We propose a…

Performance · Computer Science 2025-10-15 Baraq Lipshitz , Alessio Melone , Charalampos Maraziaris , Muhammed Bilal

Machine Learning (ML) models execute several parallel computations including Generalized Matrix Multiplication, Convolution, Dropout, etc. These computations are commonly executed on Graphics Processing Units (GPUs), by dividing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-15 Abhinav Jangda , Saeed Maleki , Maryam Mehri Dehnavi , Madan Musuvathi , Olli Saarikivi

Mixture-of-Expert (MoE) models enable efficient inference by employing smaller experts and activating only a subset of them per token. MoE serving engines distribute experts across multiple GPUs and route tokens to appropriate GPUs at…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Sourish Wawdhane , Avinash Kumar , Poulami Das

Generalized sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. Here we show that SpGEMM also yields efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Aydin Buluc , John Gilbert

Large Language Models (LLMs) face significant deployment challenges due to their substantial resource requirements. While low-bit quantized weights can reduce memory usage and improve inference efficiency, current hardware lacks native…

Machine Learning · Computer Science 2025-06-10 Pengxiang Zhao , Xiaoming Yuan
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