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Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

The increasing success and scaling of Deep Learning models demands higher computational efficiency and power. Sparsification can lead to both smaller models as well as higher compute efficiency, and accelerated hardware is becoming…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-04 Roberto L. Castro , Andrei Ivanov , Diego Andrade , Tal Ben-Nun , Basilio B. Fraguela , Torsten Hoefler

Multiplication of a sparse matrix to a dense matrix (SpDM) is widely used in many areas like scientific computing and machine learning. However, existing works under-look the performance optimization of SpDM on modern many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

Information Theory · Computer Science 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

This paper shows how to optimize sparse tensor algebraic expressions by introducing temporary tensors, called workspaces, into the resulting loop nests. We develop a new intermediate language for tensor operations called concrete index…

Mathematical Software · Computer Science 2023-10-18 Fredrik Kjolstad , Willow Ahrens , Shoaib Kamil , Saman Amarasinghe

Architectures with multiple classes of memory media are becoming a common part of mainstream supercomputer deployments. So called multi-level memories offer differing characteristics for each memory component including variation in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 Mehmet Deveci , Simon D. Hammond , Michael M. Wolf , Sivasankaran Rajamanickam

Sparse tensors are the most used representation of sparse multidimensional data. Operations that decompose them, selecting their most important features while reducing their dimension, have become prevalent procedures in machine learning.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Daniel Pacheco , Leonel Sousa , Aleksandar Ilic

Among ML operators today, GEneralMatrix Multiplication (GEMM)-based operators are known to be key operators that build the main backbone of ML models. As their computational overhead dominates the overall execution time (e.g., 42.8% - 96.6%…

Hardware Architecture · Computer Science 2025-04-17 Rachid Karami , Sheng-Chun Kao , Hyoukjun Kwon

The A64FX CPU powers the current number one supercomputer on the Top500 list. Although it is a traditional cache-based multicore processor, its peak performance and memory bandwidth rival accelerator devices. Generating efficient code for…

Performance · Computer Science 2021-08-05 Christie L. Alappat , Jan Laukemann , Thomas Gruber , Georg Hager , Gerhard Wellein , Nils Meyer , Tilo Wettig

The inherent dynamics of the neuron membrane potential in Spiking Neural Networks (SNNs) allows processing of sequential learning tasks, avoiding the complexity of recurrent neural networks. The highly-sparse spike-based computations in…

Hardware Architecture · Computer Science 2021-07-09 Amogh Agrawal , Mustafa Ali , Minsuk Koo , Nitin Rathi , Akhilesh Jaiswal , Kaushik Roy

Sparse convolution plays a pivotal role in emerging workloads, including point cloud processing in AR/VR, autonomous driving, and graph understanding in recommendation systems. Since the computation pattern is sparse and irregular,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-23 Haotian Tang , Shang Yang , Zhijian Liu , Ke Hong , Zhongming Yu , Xiuyu Li , Guohao Dai , Yu Wang , Song Han

Sparse Matrix-matrix Multiplication (SpMM) and Sampled Dense-dense Matrix Multiplication (SDDMM) are important sparse operators in scientific computing and deep learning. Tensor Core Units (TCUs) enhance modern accelerators with superior…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Jinliang Shi , Shigang Li , Youxuan Xu , Rongtian Fu , Xueying Wang , Tong Wu

Acquiring labels are often costly, whereas unlabeled data are usually easy to obtain in modern machine learning applications. Semi-supervised learning provides a principled machine learning framework to address such situations, and has been…

Machine Learning · Computer Science 2017-04-07 Trung Le , Khanh Nguyen , Van Nguyen , Vu Nguyen , Dinh Phung

Kernel matrix-vector multiplication (KMVM) is a foundational operation in machine learning and scientific computing. However, as KMVM tends to scale quadratically in both memory and time, applications are often limited by these…

Numerical Analysis · Mathematics 2025-02-25 Robert Hu , Siu Lun Chau , Dino Sejdinovic , Joan Alexis Glaunès

Tree-based models underpin many modern semantic search engines and recommender systems due to their sub-linear inference times. In industrial applications, these models operate at extreme scales, where every bit of performance is critical.…

Machine Learning · Computer Science 2022-02-25 Philip A. Etter , Kai Zhong , Hsiang-Fu Yu , Lexing Ying , Inderjit Dhillon

Despite numerous efforts for optimizing the performance of Sparse Matrix and Vector Multiplication (SpMV) on modern hardware architectures, few works are done to its sparse counterpart, Sparse Matrix and Sparse Vector Multiplication…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-18 Min Li , Yulong Ao , Chao Yang

Structured sparsity has been proposed as an efficient way to prune the complexity of Machine Learning (ML) applications and to simplify the handling of sparse data in hardware. Accelerating ML models, whether for training, or inference,…

While graph-based dynamic programming (DP) is a cornerstone of genomics and network analytics, its efficiency is hampered by fundamentally conflicting computational patterns. Matrix-centric DP drives regular, compute-bound network…

Hardware Architecture · Computer Science 2026-04-20 Yanru Chen , Runyang Tian , Zheyu Li , Mahbod Afarin , Weihong Xu , Tajana Rosing

Sparse tensor algebra computations have become important in many real-world applications like machine learning, scientific simulations, and data mining. Hence, automated code generation and performance optimizations for tensor algebra…

Programming Languages · Computer Science 2022-05-25 Adhitha Dias , Kirshanthan Sundararajah , Charitha Saumya , Milind Kulkarni

Long Short-Term Memory (LSTM) has achieved state-of-the-art performances on a wide range of tasks. Its outstanding performance is guaranteed by the long-term memory ability which matches the sequential data perfectly and the gating…

Neural and Evolutionary Computing · Computer Science 2019-01-29 Shiwei Liu , Decebal Constantin Mocanu , Mykola Pechenizkiy
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