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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

Over recent years heterogeneous systems have become more prevalent across HPC systems, with over 100 supercomputers in the TOP500 incorporating GPUs or other accelerators. These hardware platforms have different performance characteristics…

Performance · Computer Science 2019-04-11 John Lawson , Mehdi Goli , Duncan McBain , Daniel Soutar , Louis Sugy

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

A tight lower bound for required I/O when computing an ordinary matrix-matrix multiplication on a processor with two layers of memory is established. Prior work obtained weaker lower bounds by reasoning about the number of segments needed…

Computational Complexity · Computer Science 2019-02-07 Tyler Michael Smith , Bradley Lowery , Julien Langou , Robert A. van de Geijn

With the increasing scale of machine learning tasks, it has become essential to reduce the communication between computing nodes. Early work on gradient compression focused on the bottleneck between CPUs and GPUs, but…

Optimization and Control · Mathematics 2020-06-18 Sarit Khirirat , Sindri Magnússon , Arda Aytekin , Mikael Johansson

Memory bandwidth is known to be a performance bottleneck for FPGA accelerators, especially when they deal with large multi-dimensional data-sets. A large body of work focuses on reducing of off-chip transfers, but few authors try to improve…

Hardware Architecture · Computer Science 2024-01-23 Corentin Ferry , Nicolas Derumigny , Steven Derrien , Sanjay Rajopadhye

Matrix factorization is a very common machine learning technique in recommender systems. Bayesian Matrix Factorization (BMF) algorithms would be attractive because of their ability to quantify uncertainty in their predictions and avoid…

Machine Learning · Computer Science 2020-04-15 Tom Vander Aa , Xiangju Qin , Paul Blomstedt , Roel Wuyts , Wilfried Verachtert , Samuel Kaski

Matrix extensions have emerged as an essential feature in modern CPUs to address the surging demands of AI workloads. However, existing designs often incur substantial hardware and software design overhead. Tight coupling with the CPU…

Hardware Architecture · Computer Science 2026-04-14 Jinpeng Ye , Chongxi Wang , Wenqing Li , Bin Yuan , Shiyi Wang , Fenglu Zhang , Junyu Yue , Jianan Xie , Yunhao Ye , Haoyu Deng , Yingkun Zhou , Xin Cheng , Fuxin Zhang , Jian Wang

Bit matrix compression is a highly relevant operation in computer arithmetic. Essentially being a multi-operand addition, it is the key operation behind fast multiplication and many higher-level operations such as multiply-accumulate, the…

Hardware Architecture · Computer Science 2018-06-22 Thomas B. Preußer

Reconfigurable computing refers to the use of processors, such as Field Programmable Gate Arrays (FPGAs), that can be modified at the hardware level to take on different processing tasks. A reconfigurable computing platform describes the…

Hardware Architecture · Computer Science 2007-05-23 Darran Nathan , Kelvin Lim Mun Kit , Kelly Choo Hon Min , Philip Wong Jit Chin , Andreas Weisensee

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

The increasing importance of multicore processors calls for a reevaluation of established numerical algorithms in view of their ability to profit from this new hardware concept. In order to optimize the existent algorithms, a detailed…

Performance · Computer Science 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are unevenly distributed over an extremely large number of nodes. The goal is to train a…

Machine Learning · Computer Science 2016-10-11 Jakub Konečný , H. Brendan McMahan , Daniel Ramage , Peter Richtárik

Reducing communication - either between levels of a memory hierarchy or between processors over a network - is a key component of performance optimization (in both time and energy) for many problems, including dense linear algebra, particle…

Data Structures and Algorithms · Computer Science 2020-03-03 Grace Dinh , James Demmel

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

Deep neural networks (DNNs) offer plenty of challenges in executing efficient computation at edge nodes, primarily due to the huge hardware resource demands. The article proposes HYDRA, hybrid data multiplexing, and runtime layer…

Hardware Architecture · Computer Science 2026-03-31 Sonu Kumar , Komal Gupta , Gopal Raut , Mukul Lokhande , Santosh Kumar Vishvakarma

Tensor operations, such as matrix multiplication, are central to large-scale machine learning applications. For user-driven tasks these operations can be carried out on a distributed computing platform with a master server at the user side…

Information Theory · Computer Science 2019-01-24 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

We present a novel framework for designing multiplierless kernel machines that can be used on resource-constrained platforms like intelligent edge devices. The framework uses a piecewise linear (PWL) approximation based on a margin…

Machine Learning · Computer Science 2022-09-12 Abhishek Ramdas Nair , Pallab Kumar Nath , Shantanu Chakrabartty , Chetan Singh Thakur

The configurable building blocks of current FPGAs -- Logic blocks (LBs), Digital Signal Processing (DSP) slices, and Block RAMs (BRAMs) -- make them efficient hardware accelerators for the rapid-changing world of Deep Learning (DL).…

Hardware Architecture · Computer Science 2021-10-01 Aman Arora , Bagus Hanindhito , Lizy K. John

Field Programmable Gate Arrays (FPGAs) have recently been increasingly used for highly-parallel processing of compute intensive tasks. This paper introduces an FPGA hardware platform architecture that is PC-based, allows for fast…

Hardware Architecture · Computer Science 2007-05-23 Andreas Weisensee , Darran Nathan