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Mathematical operators whose transformation rules constitute the building blocks of a multi-linear algebra are widely used in physics and engineering applications where they are very often represented as tensors. In the last century, thanks…

Mathematical Software · Computer Science 2013-07-09 Edoardo Di Napoli , Diego Fabregat-Traver , Gregorio Quintana-Ortì , Paolo Bientinesi

Optical architectures have been emerging as an energy-efficient and high-throughput hardware platform to accelerate computationally intensive general matrix-matrix multiplications (GEMMs) in modern machine learning (ML) algorithms. However,…

Emerging Technologies · Computer Science 2022-04-01 Jichao Fan , Yingheng Tang , Weilu Gao

Sparse General Matrix-Matrix Multiplication (SpGEMM) is a fundamental operation in numerous scientific computing and data analytics applications, often bottlenecked by irregular memory access patterns. This paper presents Hash based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-16 Shiju Li , Younghoon Min , Hane Yie , Hoshik Kim , Soohong Ahn , Joonseop Sim , Chul-Ho Lee , Jongryool Kim

Sparse General Matrix Multiply (SpGEMM) is key for various High-Performance Computing (HPC) applications such as genomics and graph analytics. Using the semiring abstraction, many algorithms can be formulated as SpGEMM, allowing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Thomas McFarland , Julian Bellavita , Giulia Guidi

AI models are increasing in size and recent advancement in the community has shown that unlike HPC applications where double precision datatype are required, lower-precision datatypes such as fp8 or int4 are sufficient to bring the same…

Performance · Computer Science 2023-10-11 Saeed Maleki

We present the MEMA framework for the easy and quick derivation of efficient inference runtimes that minimize external memory accesses for matrix multiplication on TinyML systems. The framework accounts for hardware resource constraints and…

Machine Learning · Computer Science 2023-04-13 Andrew Sabot , Vikas Natesh , H. T. Kung , Wei-Te Ting

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 work focuses on accelerating the multiplication of a dense random matrix with a (fixed) sparse matrix, which is frequently used in sketching algorithms. We develop a novel scheme that takes advantage of blocking and recomputation…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Tianyu Liang , Riley Murray , Aydın Buluç , James Demmel

Large language models (LLMs) are remarked by their substantial computational requirements. To mitigate the cost, researchers develop specialized CUDA kernels, which often fuse several tensor operations to maximize the utilization of GPUs as…

Hardware Architecture · Computer Science 2025-01-15 Guoliang He , Eiko Yoneki

Current Adaptive Mesh Refinement (AMR) simulations require algorithms that are highly parallelized and manage memory efficiently. As compute engines grow larger, AMR simulations will require algorithms that achieve new levels of efficient…

Solar and Stellar Astrophysics · Physics 2015-03-19 Jonathan J. Carroll-Nellenback , Brandon Shroyer , Adam Frank , Chen Ding

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

Deep learning (DL) is one of the most prominent branches of machine learning. Due to the immense computational cost of DL workloads, industry and academia have developed DL libraries with highly-specialized kernels for each…

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

Training machine learning (ML) algorithms is a computationally intensive process, which is frequently memory-bound due to repeatedly accessing large training datasets. As a result, processor-centric systems (e.g., CPU, GPU) suffer from…

Hardware Architecture · Computer Science 2023-09-07 Juan Gómez-Luna , Yuxin Guo , Sylvan Brocard , Julien Legriel , Remy Cimadomo , Geraldo F. Oliveira , Gagandeep Singh , Onur Mutlu

Recently, Deep Neural Networks (DNNs) have recorded great success in handling medical and other complex classification tasks. However, as the sizes of a DNN model and the available dataset increase, the training process becomes more complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-08 Samson B. Akintoye , Liangxiu Han , Xin Zhang , Haoming Chen , Daoqiang Zhang

To alleviate the memory bandwidth bottleneck in Large Language Model (LLM) inference workloads, weight matrices are stored in memory in quantized and sparsified formats. Hence, before tiles of these matrices can be processed by in-core…

Hardware Architecture · Computer Science 2025-08-11 Gerasimos Gerogiannis , Stijn Eyerman , Evangelos Georganas , Wim Heirman , Josep Torrellas

We consider the problem of intelligent and efficient task allocation mechanism in large-scale mobile edge computing (MEC), which can reduce delay and energy consumption in a parallel and distributed optimization. In this paper, we study the…

Networking and Internet Architecture · Computer Science 2020-05-22 Xiaoxiong Zhong , Xinghan Wang , Yuanyuan Yang , Yang Qin , Xiaoke Ma , Tingting Yang

Processing-In-Memory (PIM) architectures offer a promising approach to accelerate Graph Neural Network (GNN) training and inference. However, various PIM devices such as ReRAM, FeFET, PCM, MRAM, and SRAM exist, with each device offering…

The currently dominant AI/ML workloads, such as Large Language Models (LLMs), rely on the efficient execution of General Matrix-Matrix Multiplication (GEMM) operations. Thus, most systems are equipped with dedicated matrix hardware…

Hardware Architecture · Computer Science 2026-04-01 Luigi Altamura , Alessio Cicero , Mateo Vázquez Maceiras , Mohammad Ali Maleki , Pedro Trancoso

Extreme learning machine (ELM) as a neural network algorithm has shown its good performance, such as fast speed, simple structure etc, but also, weak robustness is an unavoidable defect in original ELM for blended data. We present a new…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Rui Nian , Mengmeng Ma , Shujing Zhang , Minghui Li , Amaury Lendasse