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General Matrix Multiplication or GEMM kernels take centre place in high performance computing and machine learning. Recent NVIDIA GPUs include GEMM accelerators, such as NVIDIA's Tensor Cores. Their exploitation is hampered by the…

Mathematical Software · Computer Science 2021-11-23 Thomas Faingnaert , Tim Besard , Bjorn De Sutter

Kernel methods provide an elegant and principled approach to nonparametric learning, but so far could hardly be used in large scale problems, since na\"ive implementations scale poorly with data size. Recent advances have shown the benefits…

Machine Learning · Computer Science 2020-11-30 Giacomo Meanti , Luigi Carratino , Lorenzo Rosasco , Alessandro Rudi

Modern deep learning workloads often consist of many small tensor operations, especially in inference, attention, and micro-batched training. In these settings, kernel launch overhead can become a major bottleneck, sometimes exceeding the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Yiwei Yang , Xiangyu Gao , Yuan Zhou , Yuhang Gan , Yusheng Zheng , Andi Quinn

A commonly occurring computation idiom in neural networks is to perform some pointwise operations on the result of a matrix multiplication. Such a sequence of operations is typically represented as a computation graph in deep learning…

Programming Languages · Computer Science 2020-08-04 Somashekaracharya G. Bhaskaracharya , Julien Demouth , Vinod Grover

Recent years have witnessed the booming of various differentiable optimization algorithms. These algorithms exhibit different execution patterns, and their execution needs massive computational resources that go beyond a single CPU and GPU.…

Mathematical Software · Computer Science 2022-11-15 Jie Ren , Xidong Feng , Bo Liu , Xuehai Pan , Yao Fu , Luo Mai , Yaodong Yang

During the past decade, Deep Learning (DL) algorithms, programming systems and hardware have converged with the High Performance Computing (HPC) counterparts. Nevertheless, the programming methodology of DL and HPC systems is stagnant,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-19 Evangelos Georganas , Dhiraj Kalamkar , Kirill Voronin , Abhisek Kundu , Antonio Noack , Hans Pabst , Alexander Breuer , Alexander Heinecke

Beamforming is a well-known technique to combine signals from multiple sensors. It has a wide range of application domains. This paper introduces the Tensor-Core Beamformer: a generic, optimized beamformer library that harnesses the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-07 Leon Oostrum , Bram Veenboer , Ronald Rook , Michael Brown , Pieter Kruizinga , John W. Romein

Matrix and tensor operations form the basis of a wide range of fields and applications, and in many cases constitute a substantial part of the overall computational complexity. The ability of general-purpose GPUs to speed up many of these…

Mathematical Software · Computer Science 2018-10-23 Ewout van den Berg

We introduce a learning-based framework to optimize tensor programs for deep learning workloads. Efficient implementations of tensor operators, such as matrix multiplication and high dimensional convolution, are key enablers of effective…

Machine Learning · Computer Science 2019-01-10 Tianqi Chen , Lianmin Zheng , Eddie Yan , Ziheng Jiang , Thierry Moreau , Luis Ceze , Carlos Guestrin , Arvind Krishnamurthy

Modern GPUs are able to perform significantly more arithmetic operations than transfers of a single word to or from global memory. Hence, many GPU kernels are limited by memory bandwidth and cannot exploit the arithmetic power of GPUs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-13 J. Filipovič , M. Madzin , J. Fousek , L. Matyska

Tensor computations present significant performance challenges that impact a wide spectrum of applications ranging from machine learning, healthcare analytics, social network analysis, data mining to quantum chemistry and signal processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-06 Jiajia Li , Mahesh Lakshminarasimhan , Xiaolong Wu , Ang Li , Catherine Olschanowsky , Kevin Barker

We present MiniTensor, an open source tensor operations library that focuses on minimalism, correctness, and performance. MiniTensor exposes a familiar PyTorch-like Python API while it executes performance critical code in a Rust engine.…

Machine Learning · Computer Science 2026-02-03 Soumyadip Sarkar

Convolution is a fundamental operation in many applications, such as computer vision, natural language processing, image processing, etc. Recent successes of convolutional neural networks in various deep learning applications put even…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-31 Xiaoming Chen , Jianxu Chen , Danny Z. Chen , Xiaobo Sharon Hu

Computation-intensive tensor operators constitute over 90\% of the computations in Large Language Models (LLMs) and Deep Neural Networks.Automatically and efficiently generating high-performance tensor operators with hardware primitives is…

Iterative memory-bound solvers commonly occur in HPC codes. Typical GPU implementations have a loop on the host side that invokes the GPU kernel as much as time/algorithm steps there are. The termination of each kernel implicitly acts the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Lingqi Zhang , Mohamed Wahib , Peng Chen , Jintao Meng , Xiao Wang , Toshio Endo , Satoshi Matsuoka

Next generation High-Energy Physics (HEP) experiments are presented with significant computational challenges, both in terms of data volume and processing power. Using compute accelerators, such as GPUs, is one of the promising ways to…

Neural networks used in computations with more advanced algebras than real numbers perform better in some applications. However, there is no general framework for constructing hypercomplex neural networks. We propose a library integrated…

Machine Learning · Computer Science 2025-05-26 Agnieszka Niemczynowicz , Radosław Antoni Kycia

High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

The Kernel Polynomial Method (KPM) is one of the fast diagonalization methods used for simulations of quantum systems in research fields of condensed matter physics and chemistry. The algorithm has a difficulty to be parallelized on a…

Computational Physics · Physics 2011-05-30 Shixun Zhang , Shinichi Yamagiwa , Masahiko Okumura , Seiji Yunoki

Iterative GPU kernel tuning is bottlenecked by the scale of the applications that host the kernels. Rapid iteration requires isolating the kernel so it can be edited, recompiled, and validated without rebuilding the full application -- but…

Software Engineering · Computer Science 2026-05-07 Cole Ramos , Keith Lowery
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