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Large language models (LLMs) face significant inference latency due to inefficiencies in GEMM operations, weight access, and KV cache access, especially in real-time scenarios. This highlights the need for a versatile compute-memory…

Hardware Architecture · Computer Science 2025-09-15 Huizheng Wang , Zichuan Wang , Zhiheng Yue , Yousheng Long , Taiquan Wei , Jianxun Yang , Yang Wang , Chao Li , Shaojun Wei , Yang Hu , Shouyi Yin

We propose a hyperpower iteration for numerical computation of the outer generalized inverse of a matrix which achieves the 18th order of convergence by using only seven matrix multiplication per iteration loop. This is the record high…

Rings and Algebras · Mathematics 2016-04-28 V. Y. Pan , F. Soleymani , Liang Zhao

Analytical framework for predicting General Matrix Multiplication (GEMM) performance on modern GPUs, focusing on runtime, power consumption, and energy efficiency. Our study employs two approaches: a custom-implemented tiled matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-27 Xiaoteng , Liu , Pavly Halim

A multiply-accumulate (MAC) operation is the main computation unit for DSP applications. DSP blocks are one of the efficient solutions to implement MACs in FPGA's. However, since the DSP blocks have wide multiplier and adder blocks, MAC…

Hardware Architecture · Computer Science 2021-10-26 Ercan Kalali , Rene van Leuken

Deep Gaussian processes (DGPs) provide a rich class of models that can better represent functions with varying regimes or sharp changes, compared to conventional GPs. In this work, we propose a novel inference method for DGPs for computer…

Machine Learning · Statistics 2022-08-18 Deyu Ming , Daniel Williamson , Serge Guillas

In this paper we introduce a generic model for multiplicative algorithms which is suitable for the MapReduce parallel programming paradigm. We implement three typical machine learning algorithms to demonstrate how similarity comparison,…

Data Structures and Algorithms · Computer Science 2011-12-05 Song Liu , Peter Flach , Nello Cristianini

Soft error, namely silent corruption of signal or datum in a computer system, cannot be caverlierly ignored as compute and communication density grow exponentially. Soft error detection has been studied in the context of enterprise…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Sihuan Li , Jianyu Huang , Ping Tak Peter Tang , Daya Khudia , Jongsoo Park , Harish Dattatraya Dixit , Zizhong Chen

Matrix multiplication is a cornerstone operation in a wide array of scientific fields, including machine learning and computer graphics. The standard algorithm for matrix multiplication has a complexity of $\mathcal{O}(n^3)$ for $n\times n$…

Hardware Architecture · Computer Science 2024-06-05 Afzal Ahmad , Linfeng Du , Wei Zhang

The application of Transformer-based large models has achieved numerous success in recent years. However, the exponential growth in the parameters of large models introduces formidable memory challenge for edge deployment. Prior works to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-11 Xueyuan Han , Zinuo Cai , Yichu Zhang , Chongxin Fan , Junhan Liu , Ruhui Ma , Rajkumar Buyya

The high computational and memory demands of modern deep learning (DL) workloads have led to the development of specialized hardware devices from cloud to edge, such as AMD's Ryzen AI XDNA NPUs. Optimizing general matrix multiplication…

Hardware Architecture · Computer Science 2025-12-16 Endri Taka , Andre Roesti , Joseph Melber , Pranathi Vasireddy , Kristof Denolf , Diana Marculescu

Mixed-precision algorithms have been proposed as a way for scientific computing to benefit from some of the gains seen for artificial intelligence (AI) on recent high performance computing (HPC) platforms. A few applications dominated by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Aditya Kashi , Nicholson Koukpaizan , Hao Lu , Michael Matheson , Sarp Oral , Feiyi Wang

The vision of super computer at every desk can be realized by powerful and highly parallel CPUs or GPUs or APUs. Graphics processors once specialized for the graphics applications only, are now used for the highly computational intensive…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-16 Chittampally Vasanth Raja , Srinivas Balasubramanian , Prakash S Raghavendra

Deep neural networks (DNNs) require very large amounts of computation both for training and for inference when deployed in the field. A common approach to implementing DNNs is to recast the most computationally expensive operations as…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Andrew Anderson , Aravind Vasudevan , Cormac Keane , David Gregg

Matrix engines or units, in different forms and affinities, are becoming a reality in modern processors; CPUs and otherwise. The current and dominant algorithmic approach to Deep Learning merits the commercial investments in these units,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Jens Domke , Emil Vatai , Aleksandr Drozd , Peng Chen , Yosuke Oyama , Lingqi Zhang , Shweta Salaria , Daichi Mukunoki , Artur Podobas , Mohamed Wahib , Satoshi Matsuoka

The advancements of hardware technology in recent years has brought many possibilities for low-precision applications. However, the use of low precision can introduce significant computational errors, posing a considerable challenge to…

Mathematical Software · Computer Science 2024-09-30 Hongyaoxing Gu

We dispel with "street wisdom" regarding the practical implementation of Strassen's algorithm for matrix-matrix multiplication (DGEMM). Conventional wisdom: it is only practical for very large matrices. Our implementation is practical for…

Mathematical Software · Computer Science 2016-05-05 Jianyu Huang , Tyler M. Smith , Greg M. Henry , Robert A. van de Geijn

The rapid advancements in artificial intelligence (AI), particularly the Large Language Models (LLMs), have profoundly affected our daily work and communication forms. However, it is still a challenge to deploy LLMs on resource-constrained…

Hardware Architecture · Computer Science 2025-03-03 Mingqiang Huang , Ao Shen , Kai Li , Haoxiang Peng , Boyu Li , Yupeng Su , Hao Yu

Sparse deep learning has reduced computation significantly, but its irregular non-zero data distribution complicates the data flow and hinders data reuse, increasing on-chip SRAM access and thus power consumption of the chip. This paper…

Hardware Architecture · Computer Science 2025-03-26 Kai-Chieh Hsu , Tian-Sheuan Chang

Performance optimization is the art of continuous seeking a harmonious mapping between the application domain and hardware. Recent years have witnessed a surge of deep learning (DL) applications in industry. Conventional wisdom for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Guoping Long , Jun Yang , Wei Lin

Large language models have been widely adopted but require significant GPU memory for inference. We develop a procedure for Int8 matrix multiplication for feed-forward and attention projection layers in transformers, which cut the memory…

Machine Learning · Computer Science 2022-11-11 Tim Dettmers , Mike Lewis , Younes Belkada , Luke Zettlemoyer