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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 optimization of the matrix multiplication (or GEMM) has been a need during the last decades. This operation is considered the flagship of current linear algebra libraries such as BLIS, OpenBLAS, or Intel OneAPI because of its widespread…

Mathematical Software · Computer Science 2023-10-30 Adrián Castelló , Julian Bellavita , Grace Dinh , Yuka Ikarashi , Héctor Martínez

Personalized recommendation is a ubiquitous application on the internet, with many industries and hyperscalers extensively leveraging Deep Learning Recommendation Models (DLRMs) for their personalization needs (like ad serving or movie…

Hardware Architecture · Computer Science 2024-10-30 Rishabh Jain , Vivek M. Bhasi , Adwait Jog , Anand Sivasubramaniam , Mahmut T. Kandemir , Chita R. Das

We describe an interface and an implementation for performing Kronecker product actions on NVIDIA GPUs for multiple small 2-D matrices and 3-D arrays processed in parallel as a batch. This method is suited to cases where the Kronecker…

Mathematical Software · Computer Science 2013-04-29 Chetan Jhurani

The NVIDIA Volta GPU microarchitecture introduces a specialized unit, called "Tensor Core" that performs one matrix-multiply-and-accumulate on 4x4 matrices per clock cycle. The NVIDIA Tesla V100 accelerator, featuring the Volta…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-18 Stefano Markidis , Steven Wei Der Chien , Erwin Laure , Ivy Bo Peng , Jeffrey S. Vetter

High performance dense linear algebra (DLA) libraries often rely on a general matrix multiply (Gemm) kernel that is implemented using assembly or with vector intrinsics. In particular, the real-valued Gemm kernels provide the overwhelming…

Mathematical Software · Computer Science 2017-05-01 Richard Michael Veras , Tze Meng Low , Tyler Michael Smith , Robert van de Geijn , Franz Franchetti

This paper addresses emulation algorithms for matrix multiplication. General Matrix-Matrix Multiplication (GEMM), a fundamental operation in the Basic Linear Algebra Subprograms (BLAS), is typically optimized for specific hardware…

Mathematical Software · Computer Science 2025-04-29 Katsuhisa Ozaki , Yuki Uchino , Toshiyuki Imamura

The matrix-free gather-batched-GEMM-scatter pattern eliminates global stiffness assembly for three-dimensional SIMP topology optimization, but the conventional three-stage implementation forces avoidable DRAM traffic between stages. We…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Shaoliang Yang , Jun Wang , Yunsheng Wang

The explosive growth of interactive Large Language Models (LLMs) has placed unprecedented demands for low latency on cloud GPUs, forcing them into high-power modes and causing escalating energy costs. Real-time inference workloads exhibit…

Machine Learning · Computer Science 2025-08-05 Zicong Ye , Kunming Zhang , Guoming Tang

Implementing Machine Learning (ML) models on Field-Programmable Gate Arrays (FPGAs) is becoming increasingly popular across various domains as a low-latency and low-power solution that helps manage large data rates generated by continuously…

Machine Learning · Computer Science 2024-08-13 Mohammad Mehdi Rahimifar , Hamza Ezzaoui Rahali , Audrey C. Therrien

Characterizing compute kernel execution behavior on GPUs for efficient task scheduling is a non-trivial task. We address this with a simple model enabling portable and fast predictions among different GPUs using only hardware-independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-01 Lorenz Braun , Sotirios Nikas , Chen Song , Vincent Heuveline , Holger Fröning

Atomistic spin dynamics simulations provide valuable information about the energy spectrum of magnetic materials in different phases, allowing one to identify instabilities and the nature of their excitations. However, the time cost of…

Computational Physics · Physics 2023-08-09 Hongwei Chen , Yujia Zhai , Joshua J. Turner , Adrian Feiguin

This paper presents a performant and portable recursive implementation of triangular matrix-matrix multiplication (TRMM) and triangular solve (TRSM) in Julia for GPUs, two kernels that underlie many linear-algebra algorithms. We restructure…

Mathematical Software · Computer Science 2025-04-21 Vicki Carrica , Maxwell Onyango , Rabab Alomairy , Evelyne Ringoot , James Schloss , Alan Edelman

Efficient utilization of GPU resources and power has become critical with the growing demand for GPUs in high-performance computing (HPC). In this paper, we analyze GPU utilization and GPU memory utilization, as well as the power…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-03 Beste Oztop , Dhruva Kulkarni , Zhengji Zhao , Ayse Kivilcim Coskun , Kadidia Konate

We present EnergyLens, an end-to-end framework for energy-aware large language model (LLM) inference optimization. As LLMs scale, predicting and reducing their energy footprint has become critical for sustainability and datacenter…

Machine Learning · Computer Science 2026-05-15 Zhiye Song , Kyungmi Lee , Eun Kyung Lee , Xin Zhang , Tamar Eilam , Anantha P. Chandrakasan

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

Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics processing units (GPUs). However, the computational performance of such…

Computational Physics · Physics 2016-04-20 Axel Modave , Amik St-Cyr , Tim Warburton

This paper advocates for an intertwined design of the dense linear algebra software stack that breaks down the strict barriers between the high-level, blocked algorithms in LAPACK (Linear Algebra PACKage) and the low-level,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-01 Héctor Martínez , Sandra Catalán , Francisco D. Igual , José R. Herrero , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

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

Large language models have demonstrated extraordinary performance in many AI tasks but are expensive to use, even after training, due to their requirement of high-end GPUs. Recently, a distributed system called PETALS was developed to lower…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Tingyang Sun , Ting He , Bo Ji , Parimal Parag
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