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General Matrix Multiplication (GEMM) has a wide range of applications in scientific simulation and artificial intelligence. Although traditional libraries can achieve high performance on large regular-shaped GEMMs, they often behave not…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Shangfei Yin , Qinglin Wang , Ruochen Hao , Tianyang Zhou , Songzhu Mei , Jie Liu

Emerging deep learning workloads urgently need fast general matrix multiplication (GEMM). To meet such demand, one of the critical features of machine-learning-specific accelerators such as NVIDIA Tensor Cores, AMD Matrix Cores, and Google…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Bo Fang , Xinyi Li , Harvey Dam , Cheng Tan , Siva Kumar Sastry Hari , Timothy Tsai , Ignacio Laguna , Dingwen Tao , Ganesh Gopalakrishnan , Prashant Nair , Kevin Barker , Ang Li

General Matrix Multiplication (GEMM) is the cornerstone of HPC workloads and Deep Learning. State-of-the-art vendor libraries tune tensor layouts, parallelization schemes, and cache blocking to minimize data movement across the memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Evangelos Georganas , Alexander Heinecke , Pradeep Dubey

General matrix multiplication (GEMM) operations are the fundamental building blocks of computational domains including artificial intelligence (AI). As GPU architectures evolve and high-performance AI becomes increasingly important,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Harisankar Sadasivan , Muhammed Emin Ozturk , Muhammad Osama , Chris Millette , Astha Rai , Maksim Podkorytov , John Afaganis , Carlus Huang , Jing Zhang , Jun Liu

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 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 explore the utilization of the Apache TVM open source framework to automatically generate a family of algorithms that follow the approach taken by popular linear algebra libraries, such as GotoBLAS2, BLIS and OpenBLAS, in order to obtain…

The remarkable positive impact of Deep Neural Networks on many Artificial Intelligence (AI) tasks has led to the development of various high performance algorithms as well as specialized processors and accelerators. In this paper we address…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-16 Jie Lei , José Flich , Enrique S. Quintana-Ortí

Generic matrix multiplication (GEMM) and one-dimensional convolution/cross-correlation (CONV) kernels often constitute the bulk of the compute- and memory-intensive processing within image/audio recognition and matching systems. We propose…

Multimedia · Computer Science 2014-11-12 Mohammad Ashraful Anam , Paul N. Whatmough , Yiannis Andreopoulos

Peak breaking Matrix Multiplication is a promising technique to improve the performance of DL, especially in LLM training and inference. We present FalconGEMM, a cross-platform framework that automates the deployment, optimization, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Honglin Zhu , Jiaping Cao , Jiang Shao , Siyuan Feng , Qian Qiu , Peng Chen , Xu Zhang , Yixian Zhou , Man Lung Yiu , Guang Ji , Minwen Deng , Wenxi Zhu , Jintao Meng

General matrix multiplication (GEMM) is a ubiquitous computing kernel/algorithm for data processing in diverse applications, including artificial intelligence (AI) and deep learning (DL). Recent shift towards edge computing has inspired…

Hardware Architecture · Computer Science 2024-12-25 Harideep Nair , Prabhu Vellaisamy , Albert Chen , Joseph Finn , Anna Li , Manav Trivedi , John Paul Shen

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

Multilinear transformations are key in high-performance computing (HPC) and artificial intelligence (AI) workloads, where data is represented as tensors. However, their high computational and memory demands, which grow with dimensionality,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-01 Stanislav Sedukhin , Yoichi Tomioka , Kazuya Matsumoto , Yuichi Okuyama

General Matrix Multiplication (GEMM) is a ubiquitous compute kernel in deep learning (DL). To support energy-efficient edge-native processing, new GEMM hardware units have been proposed that operate on unary encoded bitstreams using much…

Hardware Architecture · Computer Science 2024-12-25 Prabhu Vellaisamy , Harideep Nair , Joseph Finn , Manav Trivedi , Albert Chen , Anna Li , Tsung-Han Lin , Perry Wang , Shawn Blanton , John Paul Shen

General matrix multiplication (GEMM) on spatial accelerators is highly sensitive to mapping choices in both execution efficiency and energy consumption. However, the mapping space exhibits combinatorial explosion, which makes it extremely…

Hardware Architecture · Computer Science 2026-03-24 Wulve Yang , Hailong Zou , Rui Zhou , Jionghao Zhang , Qiang Li , Gang Li , Yi Zhan , Shushan Qiao

GEneral Matrix Multiply (GEMM) is a central operation in deep learning and corresponds to the largest chunk of the compute footprint. Therefore, improving its efficiency is an active topic of ongoing research. A popular strategy is the use…

Machine Learning · Computer Science 2024-03-13 Zhanpeng Zeng , Karthikeyan Sankaralingam , Vikas Singh

We introduce Stream-K, a work-centric parallelization of matrix multiplication (GEMM) and related computations in dense linear algebra. Whereas contemporary decompositions are primarily tile-based, our method operates by partitioning an…

Data Structures and Algorithms · Computer Science 2023-01-11 Muhammad Osama , Duane Merrill , Cris Cecka , Michael Garland , John D. Owens

We present "GEMM-like Tensor-Tensor multiplication" (GETT), a novel approach to tensor contractions that mirrors the design of a high-performance general matrix-matrix multiplication (GEMM). The critical insight behind GETT is the…

Mathematical Software · Computer Science 2017-11-08 Paul Springer , Paolo Bientinesi

The incessant advent of online services demands high speed and efficient recommender systems (ReS) that can maintain real-time performance along with processing very complex user-item interactions. The present study, therefore, considers…

Machine Learning · Computer Science 2025-07-03 Yushang Zhao , Haotian Lyu , Yike Peng , Aijia Sun , Feng Jiang , Xinyue Han

The widespread proliferation of deep learning applications has triggered the need to accelerate them directly in hardware. General Matrix Multiplication (GEMM) kernels are elemental deep-learning constructs and they inherently map onto…

Hardware Architecture · Computer Science 2023-09-14 C. Peltekis , D. Filippas , G. Dimitrakopoulos , C. Nicopoulos